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16043Introduction to Solid State Physics, 8th Edition
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Since the publication of the first edition over 50 years ago, Introduction to Solid State Physics has been the standard solid state physics text for physics students. The author's goal from the beginning has been to write a book that is accessible to undergraduates and consistently teachable. The emphasis in the book has always been on physics rather than formal mathematics. With each new edition, the author has attempted to add important new developments in the field without sacrificing the book's accessibility and teachability. * A very important chapter on nanophysics has been written by an active worker in the field. This field is the liveliest addition to solid state science during the past ten years * The text uses the simplifications made possible by the wide availability of computer technology. Searches using keywords on a search engine (such as Google) easily generate many fresh and useful references Read more... ]]>Mon, 18 Jun 2018 07:06:14 GMTThe Trouble with Maths: A practical guide to helping learners with numeracy difficulties.
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Now in third edition, with updates to reflect developments in our understanding of learning difficulties in maths, this award-winning text provides vital insights into the often confusing world of numeracy. By looking at learning difficulties in maths and dyscalculia from several perspectives, including the vocabulary and language of maths, thinking styles and the demands of individual procedures, this book provides a complete overview of the most frequently occurring problems associated with maths teaching and learning. Drawing on tried-and-tested methods based on research and Steve Chinn’s years of classroom experience, it provides an authoritative yet accessible one-stop classroom resource.
Combining advice, guidance and practical activities, this user-friendly guide will help you to:
* develop flexible thinking styles
* use alternative strategies to replace an over-reliance on rote learning for pupils trying to access basic facts
* understand the implications of underlying skills, such as working memory, on learning
* implement effective pre-emptive measures before demotivation sets in
* recognise the manifestations of maths anxiety and tackle affective domain problems
* find approaches to solve word problems
* select appropriate materials and visual images to enhance understanding.
With useful features such as checklists for the evaluation of books and a comprehensive overview of resources, this book will equip you with esse Read more... ]]>Mon, 18 Jun 2018 05:58:58 GMTAn Introduction to Bayesian Analysis Theory and Methods (Springer Texts in Statistics)
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This is a graduate-level textbook on Bayesian analysis blending modern Bayesian theory, methods, and applications. Starting from basic statistics, undergraduate calculus and linear algebra, ideas of both subjective and objective Bayesian analysis are developed to a level where real-life data can be analyzed using the current techniques of statistical computing. Advances in both low-dimensional and high-dimensional problems are covered, as well as important topics such as empirical Bayes and hierarchical Bayes methods and Markov chain Monte Carlo (MCMC) techniques. Many topics are at the cutting edge of statistical research. Solutions to common inference problems appear throughout the text along with discussion of what prior to choose. There is a discussion of elicitation of a subjective prior as well as the motivation, applicability, and limitations of objective priors. By way of important applications the book presents microarrays, nonparametric regression via wavelets as well as DMA mixtures of normals, and spatial analysis with illustrations using simulated and real data. Theoretical topics at the cutting edge include high-dimensional model selection and Intrinsic Bayes Factors, which the authors have successfully applied to geological mapping. The style is informal but clear. Asymptotics is used to supplement simulation or understand some aspects of the posterior. Read more... ]]>Mon, 18 Jun 2018 05:09:22 GMTIntroduction to the Foundations of Applied Mathematics (Texts in Applied Mathematics)
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FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch'iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook. Read more... ]]>Mon, 18 Jun 2018 05:08:13 GMTAn Open Door to Number Theory (MAA Textbooks) (AMS / MAA Textbooks)
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A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by this text for a second-semester course focusing on algebraic number theory. The approach throughout is geometric and intuitive there are over 400 carefully designed exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics not usually covered in a first-semester course, including Bernoulli numbers and polynomials, geometric approaches to number theory, the $p$-adic numbers, quadratic extensions of the integers, and arithmetic generating functionsby Duff Campbell (Author)
AMS / MAA Textbooks
A well-written, inviting textbook designed for a one-semester, junior-level course in elementary number theory. The intended audience will have had exposure to proof writing, but not necessarily to abstract algebra. That audience will be well prepared by this text for a second-semester course focusing on algebraic number theory. The approach throughout is geometric and intuitive there are over 400 carefully designed exercises, which include a balance of calculations, conjectures, and proofs. There are also nine substantial student projects on topics not usually covered in a first-semester course, including Bernoulli numbers and polynomials, geometric approa Read more... ]]>Mon, 18 Jun 2018 01:07:31 GMTMathematical Olympiad in China (2011-2014): Problems and Solutions (Mathematical Olympiad Series)
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The International Mathematical Olympiad (IMO) is a very important competition for high school students. China has taken part in the IMO 30 times since 1985 and has won the top ranking for countries 19 times, with a multitude of gold medals for individual students. The six students China has sent every year were selected from 60 students among approximately 300 students who took part in the annual China Mathematical Competition during the winter months.
This book includes the problems and solutions of the most important mathematical competitions from 2010 to 2014 in China, such as China Mathematical Competition, China Mathematical Olympiad, China Girls' Mathematical Olympiad. These problems are almost exclusively created by the experts who are engaged in mathematical competition teaching and researching. Some of the solutions are from national training team and national team members, their wonderful solutions being the feature of this book. This book is useful to mathematics fans, middle school students engaged in mathematical competition, coaches in mathematics teaching and teachers setting up math elective courses.
Readership: Mathematics students, school teachers, college lecturers, university professors mathematics enthusiastsThe International Mathematical Olympiad (IMO) is a very important competition for high school students. China has taken part in the IMO 30 times since 1985 and has won the top ranking for countries 19 times, with a multitude of gold medals fo Read more... ]]>Sun, 17 Jun 2018 23:48:45 GMTThe Laplace Equation: Boundary Value Problems on Bounded and Unbounded Lipschitz Domains
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This book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions.
The book has been written in a way that makes it as readable as possible for a wide mathematical audience, and includes all the fundamental definitions and propositions from other fields of mathematics.
This book is of interest to research students, as well as experts in partial differential equations and numerical analysisThis book is devoted to boundary value problems of the Laplace equation on bounded and unbounded Lipschitz domains. It studies the Dirichlet problem, the Neumann problem, the Robin problem, the derivative oblique problem, the transmission problem, the skip problem and mixed problems. It also examines different solutions - classical, in Sobolev spaces, in Besov spaces, in homogeneous Sobolev spaces and in the sense of non-tangential limit. It also explains relations between different solutions. Read more... ]]>Sun, 17 Jun 2018 23:45:38 GMTIndependent Random Sampling Methods (Statistics and Computing)
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This book systematically addresses the design and analysis of efficient techniques for independent random sampling. Both general-purpose approaches, which can be used to generate samples from arbitrary probability distributions, and tailored techniques, designed to efficiently address common real-world practical problems, are introduced and discussed in detail. In turn, the monograph presents fundamental results and methodologies in the field, elaborating and developing them into the latest techniques. The theory and methods are illustrated with a varied collection of examples, which are discussed in detail in the text and supplemented with ready-to-run computer code.
The main problem addressed in the book is how to generate independent random samples from an arbitrary probability distribution with the weakest possible constraints or assumptions in a form suitable for practical implementation. The authors review the fundamental results and methods in the field, address the latest methods, and emphasize the links and interplay between ostensibly diverse techniques.
This book systematically addresses the design and analysis of efficient techniques for independent random sampling. Both general-purpose approaches, which can be used to generate samples from arbitrary probability distributions, and tailored techniques, designed to efficiently address common real-world practical problems, are introduced and discussed in detail. In turn, the monograph presents fundamental res Read more... ]]>Sun, 17 Jun 2018 23:44:39 GMTCombinatorial Matrix Theory (Advanced Courses in Mathematics - CRM Barcelona)
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This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matematica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi. The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanovic delivered the third one, devoted to describing the spectral radius of a graph as a tool to provide bounds of parameters related with properties of a graph. The fourth lecture was delivered by Stephen Kirkland and is dedicated to the applications of the Group Inverse of the Laplacian matrix. The last one, given by Angeles Carmona, focuses on boundary value problems on finite networks with special in-depth on the M-matrix inverse problem.
This book contains the notes of the lectures delivered at an Advanced Course on Combinatorial Matrix Theory held at Centre de Recerca Matemtica (CRM) in Barcelona. These notes correspond to five series of lectures. The first series is dedicated to the study of several matrix classes defined combinatorially, and was delivered by Richard A. Brualdi.
The second one, given by Pauline van den Driessche, is concerned with the study of spectral properties of matrices with a given sign pattern. Dragan Stevanovi delivered the third one, devoted Read more... ]]>Sun, 17 Jun 2018 23:43:38 GMTMathematics, Education and History: Towards a Harmonious Partnership (ICME-13 Monographs)
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This book includes 18 peer-reviewed papers from nine countries, originally presented in a shorter form at TSG 25 The Role of History of Mathematics in Mathematics Education, as part of ICME-13 during. It also features an introductory chapter, by its co-editors, on the structure and main points of the book with an outline of recent developments in exploring the role of history and epistemology in mathematics education. It serves as a valuable contribution in this domain, by making reports on recent developments in this field available to the international educational community, with a special focus on relevant research results since 2000.
The 18 chapters of the book are divided into five interrelated parts that underlie the central issues of research in this domain:
1. Theoretical and conceptual frameworks for integrating history and epistemology in mathematics in mathematics education
2. Courses and didactical material: Design, implementation and evaluation
3. Empirical investigations on implementing history and epistemology in mathematics education
4. Original historical sources in teaching and learning of and about mathematics
5. History and epistemology of mathematics: Interdisciplinary teaching and sociocultural aspects.
This book covers all levels of education, from primary school to tertiary education, with a particular focus on teacher education. Additionally, each chapter refers to and/or is based on empirical research, in order to Read more... ]]>Sun, 17 Jun 2018 23:41:33 GMTComputational Contact and Impact Mechanics: Fundamentals of Modeling Interfacial Phenomena in Nonlinear Finite Element Analysis
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Many physical systems require the description of mechanical interaction across interfaces if they are to be successfully analyzed. Examples in the engineered world range from the design of prosthetics in biomedical engi neering (e. g. , hip replacements) to characterization of the response and durability of head/disk interfaces in computer magnetic storage devices to development of pneumatic tires with better handling characteristics and increased longevity in automotive engineering to description of the adhe sion and/or relative slip between concrete and reinforcing steel in structural engineering. Such mechanical interactions, often called contact/impact in teractions, usually necessitate at minimum the determination of areas over which compressive pressures must act to prevent interpenetration of the mechanical entities involved. Depending on the application, frictional be havior, transient interaction of interfaces with their surroundings (e. g. , in termittent stick/slip), thermo-mechanical coupling, interaction with an in tervening lubricant and/or fluid layer, and damage of the interface (i. e. , wear) may also be featured. When taken together (or even separately!), these features have the effect of making the equations of mechanical evolu tion not only highly nonlinear, but highly nonsmooth as well. While many modern engineering simulation packages possess impressive capabilities in the general area of nonlinear mechanics, it can be contended that methodolog Read more... ]]>Sun, 17 Jun 2018 22:31:10 GMTModern Sensors Handbook (Instrumentation and Measurement)
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Modern sensors working on new principles and/or using new materials and technologies are more precise, faster, smaller, use less power and are cheaper. Given these advantages, it is vitally important for system developers, system integrators and decision makers to be familiar with the principles and properties of the new sensor types in order to make a qualified decision about which sensor type to use in which system and what behavior may be expected. This type of information is very difficult to acquire from existing sources, a situation this book aims to address by providing detailed coverage on this topic.
In keeping with its practical theme, the discussion concentrates on sensor types used or having potential to be used in industrial applications Read more... ]]>Sun, 17 Jun 2018 21:40:15 GMTAuthentication Codes and Combinatorial Designs (Discrete Mathematics and Its Applications)
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Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially balanced designs (SPBD).
Beginning with examples illustrating the concepts of authentication schemes and combinatorial designs, the book considers the probability of successful deceptions followed by schemes involving three and four participants, respectively. From this point, the author constructs the perfect authentication schemes and explores encoding rules for such schemes in some special cases.
Using rational normal curves in projective spaces over finite fields, the author constructs a new family of SPBD. He then presents some established combinatorial designs that can be used to construct perfect schemes, such as t-designs, orthogonal arrays of index unity, and designs constructed by finite geometry. The book concludes by studying definitions of perfect secrecy, properties of perfectly secure schemes, and constructions of perfect secrecy schemes with and without authentication.
Supplying an appendix of construction schemes for authentication and secrecy schemes, Authentication Codes and Combinatorial Designs points to new applications of combinatorial designs in cryptography Read more... ]]>Sun, 17 Jun 2018 21:37:21 GMTCodes: The Guide to Secrecy From Ancient to Modern Times (Discrete Mathematics and Its Applications)
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From the Rosetta Stone to public-key cryptography, the art and science of cryptology has been used to unlock the vivid history of ancient cultures, to turn the tide of warfare, and to thwart potential hackers from attacking computer systems. Codes: The Guide to Secrecy from Ancient to Modern Times explores the depth and breadth of the field, remaining accessible to the uninitiated while retaining enough rigor for the seasoned cryptologist.
The book begins by tracing the development of cryptology from that of an arcane practice used, for example, to conceal alchemic recipes, to the modern scientific method that is studied and employed today. The remainder of the book explores the modern aspects and applications of cryptography, covering symmetric- and public-key cryptography, cryptographic protocols, key management, message authentication, e-mail and Internet security, and advanced applications such as wireless security, smart cards, biometrics, and quantum cryptography. The author also includes non-cryptographic security issues and a chapter devoted to information theory and coding. Nearly 200 diagrams, examples, figures, and tables along with abundant references and exercises complement the discussion.
Written by leading authority and best-selling author on the subject Richard A. Mollin, Codes: The Guide to Secrecy from Ancient to Modern Times is the essential reference for anyone interested in this exciting and fascinating field, from novice to veteran practitioner Read more... ]]>Sun, 17 Jun 2018 21:34:17 GMTPrealgebra (4th Edition)
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Addressing individual learning styles, Tom Carson presents targeted learning strategies and a complete study system to guide students to success. Carson’s Study System, presented in the “To the Student” section at the front of the text, adapts to the way each student learns, and targeted learning strategies are presented throughout the book to guide students to success. Tom speaks to students in everyday language and walks them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work Read more... ]]>Sun, 17 Jun 2018 21:33:51 GMTA Combinatorial Approach to Matrix Theory and Its Applications (Discrete Mathematics and Its Applications)
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Unlike most elementary books on matrices, A Combinatorial Approach to Matrix Theory and Its Applications employs combinatorial and graph-theoretical tools to develop basic theorems of matrix theory, shedding new light on the subject by exploring the connections of these tools to matrices.
After reviewing the basics of graph theory, elementary counting formulas, fields, and vector spaces, the book explains the algebra of matrices and uses the Konig digraph to carry out simple matrix operations. It then discusses matrix powers, provides a graph-theoretical definition of the determinant using the Coates digraph of a matrix, and presents a graph-theoretical interpretation of matrix inverses. The authors develop the elementary theory of solutions of systems of linear equations and show how to use the Coates digraph to solve a linear system. They also explore the eigenvalues, eigenvectors, and characteristic polynomial of a matrix examine the important properties of nonnegative matrices that are part of the Perron–Frobenius theory and study eigenvalue inclusion regions and sign-nonsingular matrices. The final chapter presents applications to electrical engineering, physics, and chemistry.
Using combinatorial and graph-theoretical tools, this book enables a solid understanding of the fundamentals of matrix theory and its application to scientific areas Read more... ]]>Sun, 17 Jun 2018 21:31:28 GMTDifferential Games : A Concise Introduction
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This book uses a small volume to present the most basic results for deterministic two-person differential games. The presentation begins with optimization of a single function, followed by a basic theory for two-person games. For dynamic situations, the author first recalls control theory which is treated as single-person differential games. Then a systematic theory of two-person differential games is concisely presented, including evasion and pursuit problems, zero-sum problems and LQ differential games. The book is intended to be self-contained, assuming that the readers have basic knowledge of calculus, linear algebra, and elementary ordinary differential equations. The readership of the book could be junior/senior undergraduate and graduate students with majors related to applied mathematics, who are interested in differential games. Researchers in some other related areas, such as engineering, social science, etc. will also find the book useful.
Readership: Researchers in optimization and control theory and also game theory and economics. The book will be a supplementary volume to relevant textbooks and/or a good research reference book in certain areas Read more... ]]>Sun, 17 Jun 2018 21:25:27 GMTCRC Standard Probability and Statistics Tables and Formulae
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Whether you are a statistician, engineer, or businessperson, you need statistics. You want to be able to easily reference tables, find formulas, and know how to use them so you can extract information from data without getting bogged down by advanced statistical methods. Your goal is to determine the appropriate statistical procedures and interpret the results. Standard Probability and Statistics: Tables and Formulae provides the tools you need to do just that.
Logically organized and reaching far beyond a mere catalog, a textual description accompanies each entry- most include an example. The topics addressed are directly applicable to modern business and engineering as well as to statistics, including regression analysis, ANOVA, decision theory, signal processing, and control theory. The result is an accessible, example-oriented handbook that supplies the basic principles, the most commonly used values, and the information to make them work for you.
It is easy to fill a statistics reference with hundreds of pages of tables - sometimes for just one test. This handbook is much more. With topics ranging from classical statistics to modern applications, Standard Probability and Statistics fills the need for an up-to-date, authoritative statistics reference Read more... ]]>Sun, 17 Jun 2018 21:19:11 GMTDiophantine Analysis (Discrete Mathematics and Its Applications)
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While its roots reach back to the third century, diophantine analysis continues to be an extremely active and powerful area of number theory. Many diophantine problems have simple formulations, they can be extremely difficult to attack, and many open problems and conjectures remain.
Diophantine Analysis examines the theory of diophantine approximations and the theory of diophantine equations, with emphasis on interactions between these subjects. Beginning with the basic principles, the author develops his treatment around the theory of continued fractions and examines the classic theory, including some of its applications. He also explores modern topics rarely addressed in other texts, including the abc conjecture, the polynomial Pell equation, and the irrationality of the zeta function and touches on topics and applications related to discrete mathematics, such as factoring methods for large integers.
Setting the stage for tackling the field's many open problems and conjectures, Diophantine Analysis is an ideal introduction to the fundamentals of this venerable but still dynamic field. A detailed appendix supplies the necessary background material, more than 200 exercises reinforce the concepts, and engaging historical notes bring the subject to life Read more... ]]>Sun, 17 Jun 2018 21:01:09 GMTIntroduction to Mathematical Logic, Fourth Edition (Discrete Mathematics and Its Applications)
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The Fourth Edition of this long-established text retains all the key features of the previous editions, covering the basic topics of a solid first course in mathematical logic. This edition includes an extensive appendix on second-order logic, a section on set theory with urlements, and a section on the logic that results when we allow models with empty domains. The text contains numerous exercises and an appendix furnishes answers to many of them.
Introduction to Mathematical Logic includes:
* propositional logic
* first-order logic
* first-order number theory and the incompleteness and undecidability theorems of Godel, Rosser, Church, and Tarski
* axiomatic set theory
* theory of computability
The study of mathematical logic, axiomatic set theory, and computability theory provides an understanding of the fundamental assumptions and proof techniques that form basis of mathematics. Logic and computability theory have also become indispensable tools in theoretical computer science, including artificial intelligence. Introduction to Mathematical Logic covers these topics in a clear, reader-friendly style that will be valued by anyone working in computer science as well as lecturers and researchers in mathematics, philosophy, and related fields Read more... ]]>Sun, 17 Jun 2018 20:58:03 GMTGraph Polynomials (Discrete Mathematics and Its Applications)
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This book covers both theoretical and practical results for graph polynomials. Graph polynomials have been developed for measuring combinatorial graph invariants and for characterizing graphs. Various problems in pure and applied graph theory or discrete mathematics can be treated and solved efficiently by using graph polynomials. Graph polynomials have been proven useful areas such as discrete mathematics, engineering, information sciences, mathematical chemistry and related disciplines Read more... ]]>Sun, 17 Jun 2018 20:53:34 GMTIntroduction to Coding Theory, Second Edition (Discrete Mathematics and Its Applications)
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This book is designed to be usable as a textbook for an undergraduate course or for an advanced graduate course in coding theory as well as a reference for researchers in discrete mathematics, engineering and theoretical computer science. This second edition has three parts: an elementary introduction to coding, theory and applications of codes, and algebraic curves. The latter part presents a brief introduction to the theory of algebraic curves and its most important applications to coding theory Read more... ]]>Sun, 17 Jun 2018 20:49:18 GMTGraphs, Algorithms, and Optimization, Second Edition (Discrete Mathematics and Its Applications)
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The second edition of this popular book presents the theory of graphs from an algorithmic viewpoint. The authors present the graph theory in a rigorous, but informal style and cover most of the main areas of graph theory. The ideas of surface topology are presented from an intuitive point of view. We have also included a discussion on linear programming that emphasizes problems in graph theory. The text is suitable for students in computer science or mathematics programs.
Read more... ]]>Sun, 17 Jun 2018 20:44:58 GMTComputational Number Theory (Discrete Mathematics and Its Applications)
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Developed from the author’s popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and practitioners of cryptography in industry.
Requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. It first builds the foundation of computational number theory by covering the arithmetic of integers and polynomials at a very basic level. It then discusses elliptic curves, primality testing, algorithms for integer factorization, computing discrete logarithms, and methods for sparse linear systems. The text also shows how number-theoretic tools are used in cryptography and cryptanalysis. A dedicated chapter on the application of number theory in public-key cryptography incorporates recent developments in pairing-based cryptography.
With an emphasis on implementation issues, the book uses the freely available number-theory calculator GP/PARI to demonstrate complex arithmetic computations. The text includes numerous examples and exercises throughout and omits lengthy proofs, making the material accessible to students and practitioners Read more... ]]>Sun, 17 Jun 2018 20:42:03 GMTHandbook of Discrete and Computational Geometry, Third Edition (Discrete Mathematics and Its Applications)
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The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields.
The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world?as researchers in mathematics and computer science?and in the professional world?as practitioners in ?elds as diverse as operations research, molecular biology, and robotics.
Discrete geometry has contributed signi?cantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young ?eld of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook.
A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography Read more... ]]>Sun, 17 Jun 2018 20:38:27 GMTHandbook of Discrete and Combinatorial Mathematics, Second Edition (Discrete Mathematics and Its Applications)
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Handbook of Discrete and Combinatorial Mathematics provides a comprehensive reference volume for mathematicians, computer scientists, engineers, as well as students and reference librarians.
The material is presented so that key information can be located and used quickly and easily. Each chapter includes a glossary. Individual topics are covered in sections and subsections within chapters, each of which is organized into clearly identifiable parts: definitions, facts, and examples.
Examples are provided to illustrate some of the key definitions, facts, and algorithms. Some curious and entertaining facts and puzzles are also included. Readers will also find an extensive collection of biographies.
This second edition is a major revision. It includes extensive additions and updates. Since the first edition appeared in 1999, many new discoveries have been made and new areas have grown in importance, which are covered in this edition.
Read more... ]]>Sun, 17 Jun 2018 20:33:51 GMTLinear Models with R, Second Edition (Chapman <![CDATA[&]]> Hall/CRC Texts in Statistical Science)
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A Hands-On Way to Learning Data Analysis
Part of the core of statistics, linear models are used to make predictions and explain the relationship between the response and the predictors. Understanding linear models is crucial to a broader competence in the practice of statistics. Linear Models with R, Second Edition explains how to use linear models in physical science, engineering, social science, and business applications. The book incorporates several improvements that reflect how the world of R has greatly expanded since the publication of the first edition.
New to the Second Edition
* Reorganized material on interpreting linear models, which distinguishes the main applications of prediction and explanation and introduces elementary notions of causality
* Additional topics, including QR decomposition, splines, additive models, Lasso, multiple imputation, and false discovery rates
* Extensive use of the ggplot2 graphics package in addition to base graphics
Like its widely praised, best-selling predecessor, this edition combines statistics and R to seamlessly give a coherent exposition of the practice of linear modeling. The text offers up-to-date insight on essential data analysis topics, from estimation, inference, and prediction to missing data, factorial models, and block designs. Numerous examples illustrate how to apply the different methods using RA Hands-On Way to Learning Data Analysis
Part of the core of statistics, linear models ar Read more... ]]>Sun, 17 Jun 2018 19:49:48 GMTCPT and Lorentz Symmetry
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This book contains the Proceedings of the Sixth Meeting on CPT and Lorentz Symmetry, held at Indiana University in Bloomington on June 17 21, 2013. The Meeting focused on tests of these fundamental symmetries and on related theoretical issues, including scenarios for possible violations. Topics covered at the meeting include searches for CPT and Lorentz violations involving: accelerator and collider experiments atomic, nuclear, and particle decays birefringence, dispersion, and anisotropy in cosmological sources clock-comparison measurements electromagnetic resonant cavities and lasers tests of the equivalence principle gauge and Higgs particles high-energy astrophysical observations laboratory tests of gravity matter interferometry neutrino oscillations and propagation oscillations and decays of neutral mesons particle antiparticle comparisons post-newtonian gravity in the solar system and beyond second- and third-generation particles space-based missions spectroscopy of hydrogen and antihydrogen spin-polarized matter and time-of-flight measurements. Theoretical discussions include physical effects at the level of the Standard Model, General Relativity, and beyond the possible origins and mechanisms for Lorentz and CPT violations classical and quantum issues in field theory, particle physics, gravity, and string theory and mathematical foundations including Finsler geometryThis book contains the Proceedings of the Sixth Meeting on CPT and Lorentz Symmetr Read more... ]]>Sun, 17 Jun 2018 19:47:42 GMTMathematical Modelling with Case Studies: Using Maple and MATLAB, Third Edition (Textbooks in Mathematics)
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Mathematical Modelling with Case Studies: Using Maple™ and MATLAB®, Third Edition provides students with hands-on modelling skills for a wide variety of problems involving differential equations that describe rates of change. While the book focuses on growth and decay processes, interacting populations, and heating/cooling problems, the mathematical techniques presented can be applied to many other areas.
The text carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model-building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. The authors often examine a model numerically before solving it analytically. They also discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model.
The highly recommended second edition was praised for its lucid writing style and numerous real-world examples. With updated Maple™ and MATLAB® code as well as new case studies and exercises, this third edition continues to give students a clear, practical understanding of the development and interpretation of mathematical modelsMathematical Modelling with Case Studies: Using Maple and MATLAB, Third Edition provides students with ha Read more... ]]>Sun, 17 Jun 2018 19:46:14 GMTMarkov Processes (Advances in Applied Mathematics)
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Clear, rigorous, and intuitive, Markov Processes provides a bridge from an undergraduate probability course to a course in stochastic processes and also as a reference for those that want to see detailed proofs of the theorems of Markov processes. It contains copious computational examples that motivate and illustrate the theorems. The text is designed to be understandable to students who have taken an undergraduate probability course without needing an instructor to fill in any gaps.
The book begins with a review of basic probability, then covers the case of finite state, discrete time Markov processes. Building on this, the text deals with the discrete time, infinite state case and provides background for continuous Markov processes with exponential random variables and Poisson processes. It presents continuous Markov processes which include the basic material of Kolmogorov’s equations, infinitesimal generators, and explosions. The book concludes with coverage of both discrete and continuous reversible Markov chains.
While Markov processes are touched on in probability courses, this book offers the opportunity to concentrate on the topic when additional study is required. It discusses how Markov processes are applied in a number of fields, including economics, physics, and mathematical biology. The book fills the gap between a calculus based probability course, normally taken as an upper level undergraduate course, and a course in stochastic processes, which is Read more... ]]>Sun, 17 Jun 2018 19:43:26 GMTDifference Equations: Theory, Applications and Advanced Topics, Third Edition (Chapman <![CDATA[&]]> Hall/CRC Monographs and Research Notes in Mathematics)
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Difference Equations: Theory, Applications and Advanced Topics, Third Edition provides a broad introduction to the mathematics of difference equations and some of their applications. Many worked examples illustrate how to calculate both exact and approximate solutions to special classes of difference equations. Along with adding several advanced topics, this edition continues to cover general, linear, first-, second-, and n-th order difference equations nonlinear equations that may be reduced to linear equations and partial difference equations.
New to the Third Edition
* New chapter on special topics, including discrete Cauchy–Euler equations gamma, beta, and digamma functions Lambert W-function Euler polynomials functional equations and exact discretizations of differential equations
* New chapter on the application of difference equations to complex problems arising in the mathematical modeling of phenomena in engineering and the natural and social sciences
* Additional problems in all chapters
* Expanded bibliography to include recently published texts related to the subject of difference equations
Suitable for self-study or as the main text for courses on difference equations, this book helps readers understand the fundamental concepts and procedures of difference equations. It uses an informal presentation style, avoiding the minutia of detailed proofs and formal explanationsThis book covers many important classes of difference equatio Read more... ]]>Sun, 17 Jun 2018 19:40:51 GMTFinite Element Analysis of Hyperbolic Cooling Towers (Lecture Notes in Engineering)
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The analysis of thin shells of revolution in general has always occupied an important place in the theory of structures, and recently the problem of hyperbolic cooling towers has attracted many investigators due to the wide use of such shells in industry. Until the early 1960's these towers were of moderate size, probably not exceeding 76m (250ft) height. In this range, the structural safety and stability were not of primary concern because, the minimum wall thickness and reinforcement were sufficient to provide the required safety. It was not necessary to use very rigorous methods to analyse the problem. The analysis involved the following assumptions, i) flexural stresses were ignored (membrane tneory), ii) The geometry of the shell was assumed to be perfect and to be idealised as a set of straight sided conical frusta, and iii) The boundary conditions at the base were taken to be fixed or continuously hinged with full tangential restraint Read more... ]]>Sun, 17 Jun 2018 19:11:08 GMTBoundary Element Methods With Applications To Nonlinear Problems (Atlantis Studies in Mathematics for Engineering and Science)
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Boundary Element Methods have become a major numerical tool in scientific and engineering problem-solving, with particular applications to numerical computations and simulations of partial differential equations in engineering.
Boundary Element Methods provides a rigorous and systematic account of the modern mathematical theory of Boundary Element Methods, including the requisite background on general partial, differential equation methods, Sobolev spaces, pseudo-differential and Fredholm operators and finite elements. It aims at the computation of many types of elliptic boundary value problems in potential theory, elasticity, wave propagation, and structural mechanics. Also presented are various methods and algorithms for nonlinear partial differential equations.
This second edition has been fully revised and combines the mathematical rigour necessary for a full understanding of the subject, with extensive examples of applications illustrated with computer graphics. This book is intended as a textbook and reference for applied mathematicians, physical scientists and engineers at graduate and research level. It will be an invaluable sourcebook for all concerned with numerical modeling and the solution of partial differential equations Read more... ]]>Sun, 17 Jun 2018 17:23:03 GMTAce the Technical Interview
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Land the job you want with this computer career guide packed with interviewing techniques and thousands of answers to the toughest interview questions. Updated to cover new technologies for online jobs, SAP, Linux, Java servlets, and much more. Get the competitive edge in today's job market with this best-selling book Read more... ]]>Sun, 17 Jun 2018 17:16:06 GMTLectures in Abstract Algebra, Part 3: Theory of Fields and Galois Theory (Graduate Texts in Mathematics 32)
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The present volume completes the series of texts on algebra which the author began more than ten years ago. The account of field theory and Galois theory which we give here is based on the notions and results of general algebra which appear in our first volume and on the more elementary parts of the second volume, dealing with linear algebra. The level of the present work is roughly the same as that of Volume II. In preparing this book we have had a number of objectives in mind. First and foremost has been that of presenting the basic field theory which is essential for an understanding of modern algebraic number theory, ring theory, and algebraic geometry. The parts of the book concerned with this aspect of the subject are Chapters I, IV, and V dealing respectively with finite dimen sional field extensions and Galois theory, general structure theory of fields, and valuation theory. Also the results of Chapter IlIon abelian extensions, although of a somewhat specialized nature, are of interest in number theory. A second objective of our ac count has been to indicate the links between the present theory of fields and the classical problems which led to its development Read more... ]]>Sun, 17 Jun 2018 17:14:40 GMTAlgebra Success in 20 Minutes a Day (Learning Express Skill Builders)
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Focuses on word problems to demonstrate practical applicability of algebra skills to real-world problems and standardized test problems. Each chapter covers one important concept, with the emphasison hands-on learning for problem-solving and mastering algebra skills Read more... ]]>Sun, 17 Jun 2018 17:08:30 GMTCalculus: Early Transcendentals (Available Titles CourseMate)
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Taking a fresh approach while retaining classic presentation, the Tan Calculus series utilizes a clear, concise writing style, and uses relevant, real world examples to introduce abstract mathematical concepts with an intuitive approach. In keeping with this emphasis on conceptual understanding, each exercise set in the three semester Calculus text begins with concept questions and each end-of-chapter review section includes fill-in-the-blank questions which are useful for mastering the definitions and theorems in each chapter. Additionally, many questions asking for the interpretation of graphical, numerical, and algebraic results are included among both the examples and the exercise sets. The Tan Calculus three semester text encourages a real world, application based, intuitive understanding of Calculus without comprising the mathematical rigor that is necessary in a Calculus text Read more... ]]>Sun, 17 Jun 2018 17:03:14 GMTMultivariable Calculus, 7th Edition
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Success in your calculus course starts here! James Stewart's CALCULUS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples. With MULTIVARIABLE CALCULUS, Seventh Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course Read more... ]]>Sun, 17 Jun 2018 16:58:29 GMTSieve Methods, Exponential Sums, and their Applications in Number Theory (London Mathematical Society Lecture Note Series)
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This volume comprises the proceedings of the 1995 Cardiff symposium on sieve methods, exponential sums, and their applications in number theory. Included are contributions from leading international figures in this area, which encompasses the main branches of analytic number theory. In particular, many of the papers reflect the interaction among the different fields of sieve theory, Dirichlet series (including the Riemann Zeta-function), and exponential sums, while displaying the subtle interplay between the additive and multiplicative aspects of the subjects. The fundamental problems discussed include recent work on Waring's problem, primes in arithmetical progressions, Goldbach numbers in short intervals, the ABC conjecture, and the moments of the Riemann Zeta-function Read more... ]]>Sun, 17 Jun 2018 16:52:18 GMTGeometry DeMYSTiFieD, 2nd Edition
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A new ANGLE to learning GEOMETRY
Trying to understand geometry but feel like you're stuck in another dimension? Here's your solution. Geometry Demystified, Second Edition helps you grasp the essential concepts with ease.
Written in a step-by-step format, this practical guide begins with two dimensions, reviewing points, lines, angles, and distances, then covers triangles, quadrilaterals, polygons, and the Cartesian plane. The book goes on to discuss three dimensions, explaining surface area, volume, vectors, Cartesian three-space, alternative coordinates, hyperspace, and warped space. Detailed examples, concise explanations, and worked-out problems make it easy to understand the material, and end-of-chapter quizzes and a final exam help reinforce learning.
It's a no-brainer! You'll learn about:
* Plane geometry and solid geometry
* Using a drafting compass and straight edge
* Solving pairs of equations
* Working with vectors in three-space
* Polar coordinates
* Cartesian n-space
Simple enough for a beginner, but challenging enough for an advanced student, Geometry Demystified, Second Edition helps you master this fundamental mathematics subject Read more... ]]>Sun, 17 Jun 2018 16:37:20 GMTNon-abelian Fundamental Groups and Iwasawa Theory (London Mathematical Society Lecture Note Series)
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Number theory currently has at least three different perspectives on non-abelian phenomena: the Langlands programme, non-commutative Iwasawa theory and anabelian geometry. In the second half of 2009, experts from each of these three areas gathered at the Isaac Newton Institute in Cambridge to explain the latest advances in their research and to investigate possible avenues of future investigation and collaboration. For those in attendance, the overwhelming impression was that number theory is going through a tumultuous period of theory-building and experimentation analogous to the late 19th century, when many different special reciprocity laws of abelian class field theory were formulated before knowledge of the Artin-Takagi theory. Non-abelian Fundamental Groups and Iwasawa Theory presents the state of the art in theorems, conjectures and speculations that point the way towards a new synthesis, an as-yet-undiscovered unified theory of non-abelian arithmetic geometry Read more... ]]>Sun, 17 Jun 2018 16:23:51 GMTGottfried Wilhelm Leibniz: The Polymath Who Brought Us Calculus
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Gottfried Wilhelm Leibniz: The Polymath Who Brought Us Calculus focuses on the life and accomplishments of one of the seventeenth century’s most influential mathematicians and philosophers. The book, which draws on Leibniz’s written works and translations, and reconstructs dialogues Leibniz may have had based on the historical record of his life experiences, portrays Leibniz as both a phenomenal genius and a real person.
Suitable for middle school age readers, the book traces Leibniz’s life from his early years as a young boy and student to his later work as a court historian. It discusses the intellectual and social climate in which he fought for his ideas, including his rather contentious relationship with Newton (both claimed to have invented calculus). The text describes how Leibniz developed the first mechanical calculator that could handle addition, subtraction, multiplication, and division. It also examines his passionate advocacy of rational arguments in all controversial matters, including the law, expressed in his famous exclamation calculemus: let us calculate to see who is right.
Leibniz made groundbreaking contributions to mathematics and philosophy that have shaped our modern views of these fields.
Read more... ]]>Sun, 17 Jun 2018 16:05:42 GMTTopology and Geometry in Polymer Science Volume 103
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This IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE is based on the proceedings of a very successful one-week workshop with the same title. This workshop was an integral part of the 1995-1996 IMA program on "Mathematical Methods in Materials Science." We would like to thank Stuart G. Whittington, De Witt Sumners, and Timothy Lodge for their excellent work as organizers of the meeting and for editing the proceedings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO) and the Office of Naval Research (ONR), whose financial support made the workshop possible. A vner Friedman Robert Gulliver v PREFACE This book is the product of a workshop on Topology and Geometry of Polymers, held at the IMA in June 1996. The workshop brought together topologists, combinatorialists, theoretical physicists and polymer scientists, who share an interest in characterizing and predicting the microscopic en tanglement properties of polymers, and their effect on macroscopic physical propertiesThis IMA Volume in Mathematics and its Applications TOPOLOGY AND GEOMETRY IN POLYMER SCIENCE. Read more... ]]>Sun, 17 Jun 2018 13:51:41 GMTGeometric Properties of Natural Operators Defined by the Riemann Curvature Tensor
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A central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor is in general quite difficult to deal with. This book presents results about the geometric consequences that follow if various natural operators defined in terms of the Riemann curvature tensor (the Jacobi operator, the skew-symmetric curvature operator, the Szabo operator, and higher order generalizations) are assumed to have constant eigenvalues or constant Jordan normal form in the appropriate domains of definition.The book presents algebraic preliminaries and various Schur type problems deals with the skew-symmetric curvature operator in the real and complex settings and provides the classification of algebraic curvature tensors whose skew-symmetric curvature has constant rank 2 and constant eigenvalues discusses the Jacobi operator and a higher order generalization and gives a unified treatment of the Osserman conjecture and related questions and establishes the results from algebraic topology that are necessary for controlling the eigenvalue structures. An extensive bibliography is provided. Results are described in the Riemannian, Lorentzian, and higher signature settings, and many families of examples are displayedA central problem in differential geometry is to relate algebraic properties of the Riemann curvature tensor to the underlying geometry of the manifold. The full curvature tensor Read more... ]]>Sun, 17 Jun 2018 13:49:15 GMTMagical Mathematics: The Mathematical Ideas That Animate Great Magic Tricks
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Magical Mathematics reveals the secrets of fun-to-perform card tricks?and the profound mathematical ideas behind them?that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge.
Diaconis and Graham tell the stories?and reveal the best tricks?of the eccentric and brilliant inventors of mathematical magic. The book exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card Monte, traces the history of mathematical magic back to the oldest mathematical trick?and much more Read more... ]]>Sun, 17 Jun 2018 13:05:18 GMTNumber Sense and Nonsense: Building Math Creativity and Confidence Through Number Play
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These 80-plus math activities and number games help kids to think critically about math instead of just memorizing rules. The emphasis is on the underlying relationships between numbers and the process of manipulating them. Kids get together and play games with odd and even numbers, prime and composite numbers, factors, divisors, and multiples of numbers, common and decimal fractions. Children learn the history of numbers—finger counting, number symbols in various cultures, and different ways of calculating. The book is full of riddles, puzzles, number tricks, and calculator games. Kids develop skills in estimation and computation as they become familiar with the characteristics and behavior of numbers. They will gain math confidence and be ready to take chances, find their own errors, and challenge their peers. Read more... ]]>Sun, 17 Jun 2018 13:00:34 GMTFundamentals of Functional Analysis (Universitext)
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This book provides a unique path for graduate or advanced undergraduate students to begin studying the rich subject of functional analysis with fewer prerequisites than is normally required. The text begins with a self-contained and highly efficient introduction to topology and measure theory, which focuses on the essential notions required for the study of functional analysis, and which are often buried within full-length overviews of the subjects. This is particularly useful for those in applied mathematics, engineering, or physics who need to have a firm grasp of functional analysis, but not necessarily some of the more abstruse aspects of topology and measure theory normally encountered. The reader is assumed to only have knowledge of basic real analysis, complex analysis, and algebra.
The latter part of the text provides an outstanding treatment of Banach space theory and operator theory, covering topics not usually found together in other books on functional analysis. Written in a clear, concise manner, and equipped with a rich array of interesting and important exercises and examples, this book can be read for an independent study, used as a text for a two-semester course, or as a self-contained reference for the researcher.
Read more... ]]>Sun, 17 Jun 2018 11:29:10 GMTTopology: Pearson New International Edition
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This text suitable for postgraduate students in mathematics offers a clear, comprehensive presentation of the fundamentals of topology. It can also be effectively used at the senior undergraduate level for a basic introduction to the core topics of topology. The book's broad coverage of topics and flexible organization allows instructors to follow their own preferences in the matter of course emphasis. The second edition is divided into two parts-general topology and algebraic topology Read more... ]]>Sun, 17 Jun 2018 11:25:16 GMTA Dynamical Approach to Random Matrix Theory (Courant Lecture Notes) (Courant Lecture Notes inn Mathematics)
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This book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several new developments within the framework of these methods. The authors have chosen instead to present key concepts that they believe are the core of these methods and should be relevant for future applications. They keep technicalities to a minimum to make the book accessible to graduate students. With this in mind, they include in this book the basic notions and tools for high-dimensional analysis, such as large deviation, entropy, Dirichlet form, and the logarithmic Sobolev inequality.This manuscript has been developed and continuously improved over the last five years. The authors have taught this material in several regular graduate courses at Harvard, Munich, and Vienna, in addition to various summer schools and short coursesThis book is a concise and self-contained introduction of recent techniques to prove local spectral universality for large random matrices. Random matrix theory is a fast expanding research area, and this book mainly focuses on the methods that the authors participated in developing over the past few years. Many other interesting topics are not included, and neither are several n Read more... ]]>Sun, 17 Jun 2018 11:16:40 GMTPseudo-Matroids and Cuts of Matroids (Mathematics Research Developments)
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The matroid theory was begun in the 1930s, when B. L. Van der Waerden in his work "Modern Algebra" examined algebraic dependance, along with linear dependance, and H. Whitney (H. Whitney, 1935) introduced the abstract notion of a matroid, in order to generalize the notion of the dual graph. Later on, S. MacLane (S. MacLane, 1936) gave an interpretation of matroids in terms of projective geometry (which served as a reason for matroids to be referred to as combinatory geometrics), while G. Birkhoff (G. Birkhoff, 1935) introduced the notion of the "M-structure" and noted that it includes projective geometries.
Matroids appear in various combinatory algebraic contexts. Such notions as independence and basis in vector spaces, algebraic dependance, cycles and cuts in graphs, surfaces in projective geometries, and point semi-modular lattices all come down to the structure of the matroid. Owing to the possibility of implementing the lattice theory, graphs, vector spaces and geometry language in the description of matroids, some unexpected similarities between the results of graph theory, coding theory, algebra, topology, electro-technics, geometry and combinatorial mathematics were found.
This study examines both strong and weak mappings of matroids. The notion of the "pseudo-matroid" is introduced as a particular type of matroid generated by elementary strong mappings. Various properties of pseudo-matroids are studied. It is remarkable that pseudo-matroids unequivocally define Read more... ]]>Sun, 17 Jun 2018 10:40:25 GMT