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16043Nitrenes and Nitrenium Ions
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Featuring contributions respected leaders in the field, Nitrene and Nitrenium Ions is the first comprehensive book to explore the role of reactive intermediate nitrene and nitrenium ions in chemistry and biochemistry. Covering a broad range of topics, including ultrafast studies, computational studies, behavior in aqueous solution, electronic structures, and reactions with aromatic compounds, this valuable resource will empower graduate students and researchers to better understand and expand their synthetic utility.
Read more... ]]>Mon, 09 Oct 2017 22:17:43 GMTMathematics: A Discrete Introduction
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Master the fundamentals of discrete mathematics and proof-writing with MATHEMATICS: A DISCRETE INTRODUCTION! With a clear presentation, the mathematics text teaches you not only how to write proofs, but how to think clearly and present cases logically beyond this course. Though it is presented from a mathematician's perspective, you will learn the importance of discrete mathematics in the fields of computer science, engineering, probability, statistics, operations research, and other areas of applied mathematics. Tools such hints and proof templates prepare you to succeed in this course. Read more... ]]>Mon, 09 Oct 2017 19:12:11 GMTArbeitsbuch Mathematik fur Wirtschaftswissenschaftler (Springer-Lehrbuch) (German Edition) [German]
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Das Arbeitsbuch behandelt einen Querschnitt mathematischer Themen, die bei Bachelorstudiengngen wie Betriebswirtschafts- und Volkswirtschaftslehre, aber auch bei interdisziplinren Studiengngen mit einem Wirtschaftsanteil, wie Sozialkonomie, bentigt werden.
Angefangen beim Mittelstufenschulstoff werden schrittweise die fr das Studium wichtigen Themen und Methoden mit entsprechenden konomischen Anwendungen und Begriffen wie folgt erarbeitet:
Das Thema, die Methode und zugehrige Begriffe werden eingefhrt.
Das methodische Vorgehen wird anhand einer Beispielaufgabe erlutert.
Das Erlernen und ben der Methode wird durch Aufgaben mit ausfhrlichen Lsungen ermglicht.
Verknpft werden die mathematischen Themen jeweils mit Erluterungen zu konomischen Begriffen und konomischen Anwendungen. Diese sind entweder als Anwendungsaufgaben mit Lsungen in den Abschnitten integriert oder werden als eigenstndige Abschnitte behandelt. Read more... ]]>Mon, 09 Oct 2017 14:25:31 GMTMicro-Maths: Mathematical problems and theorems to consider and solve on a computer
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Table of contents :
Front Matter....Pages i-xiii
Computer mathematics reaches its prime....Pages 1-10
Pi and chips....Pages 11-16
Formulas for primes....Pages 17-22
The kilderkin approach through a silicon gate....Pages 23-27
Colouring by numbers....Pages 29-34
The Oxen of the Sun (or how Archimedes’ number came up 2000 years too late) ....Pages 35-39
100 year old problem solved....Pages 41-45
Mod mathematics 1801 style....Pages 47-51
Another slice of pi....Pages 53-57
Coincidence?....Pages 59-63
Fermat’s Last Theorem....Pages 65-70
Seven-up....Pages 71-77
Primes and secret codes....Pages 79-85
Perfect numbers....Pages 87-92
True beyond reasonable doubt....Pages 93-97
All numbers great and small....Pages 99-101
Back Matter....Pages 102-103 Read more... ]]>Mon, 09 Oct 2017 12:12:31 GMTNumerical Analysis (MacMillan College Work Out)
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Table of contents :
Front Matter....Pages i-x
Number Representation, Arithmetic and Errors....Pages 1-14
Finite Difference Operators....Pages 15-22
Summation of Series, Taylor Series....Pages 23-33
Iterative Solution of Equations....Pages 34-57
Polynomial Equations....Pages 58-68
Linear Equations....Pages 69-97
Polynomial Interpolation....Pages 98-117
Spline Interpolation....Pages 118-136
Linear Least Squares Approximation....Pages 137-159
Numerical Differentiation....Pages 160-171
Numerical Integration....Pages 172-192
Optimization....Pages 193-212
Differential Equations....Pages 213-249
Back Matter....Pages 250-265 Read more... ]]>Mon, 09 Oct 2017 11:57:10 GMTPseudo-reductive Groups (New Mathematical Monographs)
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Pseudo-reductive groups arise naturally in the study of general smooth linear algebraic groups over non-perfect fields and have many important applications. This self-contained monograph provides a comprehensive treatment of the theory of pseudo-reductive groups and gives their classification in a usable form. The authors present numerous new results and also give a complete exposition of Tits' structure theory of unipotent groups. They prove the conjugacy results (conjugacy of maximal split tori, minimal pseudo-parabolic subgroups, maximal split unipotent subgroups) announced by Armand Borel and Jacques Tits, and also give the Bruhat decomposition, of general smooth connected algebraic groups. Researchers and graduate students working in any related area, such as algebraic geometry, algebraic group theory, or number theory, will value this book as it develops tools likely to be used in tackling other problems. Read more... ]]>Mon, 09 Oct 2017 09:37:23 GMTSymplectic Methods in Harmonic Analysis and in Mathematical Physics (Pseudo-Differential Operators)
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The aim of this book is to give a rigorous and complete treatment of various topics from harmonic analysis with a strong emphasis on symplectic invariance properties, which are often ignored or underestimated in the time-frequency literature. The topics that are addressed include (but are not limited to) the theory of the Wigner transform, the uncertainty principle (from the point of view of symplectic topology), Weyl calculus and its symplectic covariance, Shubin’s global theory of pseudo-differential operators, and Feichtinger’s theory of modulation spaces. Several applications to time-frequency analysis and quantum mechanics are given, many of them concurrent with ongoing research. For instance, a non-standard pseudo-differential calculus on phase space where the main role is played by “Bopp operators” (also called “Landau operators” in the literature) is introduced and studied. This calculus is closely related to both the Landau problem and to the deformation quantization theory of Flato and Sternheimer, of which it gives a simple pseudo-differential formulation where Feichtinger’s modulation spaces are key actors.
This book is primarily directed towards students or researchers in harmonic analysis (in the broad sense) and towards mathematical physicists working in quantum mechanics. It can also be read with profit by researchers in time-frequency analysis, providing a valuable complement to the existing literature on the topic.
A certain familiarity with Fourier an Read more... ]]>Mon, 09 Oct 2017 09:15:04 GMTNew Syllabus Mathematics for O-Level 2
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Table of contents :
Front Matter....Pages i-viii
Quadratic Functions....Pages 1-13
Trigonometry....Pages 14-30
Variation, Kinematics and Further Graphs....Pages 31-44
Coordinate Geometry and Calculus....Pages 45-60
Vectors and Transformations....Pages 61-81
Binary Operations, Finite Arithmetic and Groups....Pages 82-92
Further Plane Geometry....Pages 93-107
Geometry and Trigonometry in Three Dimensions....Pages 108-122
Back Matter....Pages 123-132 Read more... ]]>Sun, 08 Oct 2017 19:34:59 GMTMechanics of Groups of Particles (Core books in advanced mathematics)
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Mechanics of Groups of Particles (Core books in advanced mathematics) Read more... ]]>Sun, 08 Oct 2017 19:33:53 GMTMultiple Choice Tests in Advanced Mathematics
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Multiple Choice Tests in Advanced Mathematics Read more... ]]>Sun, 08 Oct 2017 19:32:50 GMTMathematics Through Play in the Early Years
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?The book is grounded in the latest research about how children become effective learners, particularly in relation to mathematics. Bringing together research and practice in an accessible way, Kate Tucker provides an essential resource for all those who work with young children. I strongly recommend it!? - Dr Sue Rogers, Head of Department of Early years and Primary Education, Institute of Education
Offering practical examples of focused, playful teaching this popular book is back for a third edition, with even more activities to use in your setting with children aged from 3 to 8.
Completely updated to include the revised Early Years Foundation Stage, this new edition covers all the hot topics in the field, and now includes:
a new section on teaching mathematics in Forest School
more coverage of using ICT to teach mathematics
more coverage of children with Special Educational Needs (SEN)
a key vocabulary section at the end of each chapter, and a detailed glossary
expanded and updated suggestions for Further Reading
even more activities to use in lessons, with some extended to include 7-8 year olds
With a user-friendly layout, this new edition is an ideal resource for practitioners wishing to enhance their mathematics teaching, and for students wishing to develop their knowledge and understanding of how to use play to teach mathematics.
Kate Tucker is an early years teacher, trainer and writer based in Devon. Read more... ]]>Sun, 08 Oct 2017 05:25:22 GMTMathematical Control Theory: Deterministic Finite Dimensional Systems (Texts in Applied Mathematics)
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Mathematics is playing an ever more important role in the physical and biologi cal sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of t in the modem as well as the classical techniques of applied mathematics.
This renewal of t, both in research and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numerical and symbolic computer systems, dynamical systems, and chaos, mix with and rein force the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathematics Sci ences (AMS) series, which will focus on advanced textbooks and research-level monographs. v Preface This textbook introduces the basic concepts and results of mathematical control and system theory. Based on courses that I have taught during the last 15 years, it presents its subject in a self-contained and elementary fashion. It is geared primarily to an audience consisting of mathematically mature advanced undergraduate or beginning graduate students. In addi tion, it can be used by engineering students ted in a rigorous, proof o Read more... ]]>Sun, 08 Oct 2017 05:04:09 GMTDynamics and Bifurcations (Texts in Applied Mathematics)
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The subject of differential and difference equations is an old and much-honored chapter in science, one which germinated in applied fields such as celestial mechanics, nonlinear oscillations, and fluid dynamics. In recent years, due primarily to the proliferation of computers, dynamical systems has once more turned to its roots in applications with perhaps a more mature look.
Many of the available books and expository narratives either require extensive mathematical preparation, or are not designed to be used as textbooks. The authors have filled this void with the present book. Read more... ]]>Sun, 08 Oct 2017 04:56:56 GMTRevolution im Profifuball: Mit Big Data zur Spielanalyse 4.0 (German Edition) [German]
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Dieses Buch wird Ihnen dabei helfen, die moderne Spielanalyse von Big Data im Profisport zu verstehen. Diese bildet die Basis dafr, wie man in Sekundenschnelle mit Hilfe von Positionsdaten relevante Informationen aus den Spielen herauslesen kann.
Gut verstndlich erklren die Autoren die spannenden Ergebnisse, die den Fuball auf der Basis der Spielanalyse 4.0 verndern. Dabei lernen Sie ber die Entwicklung der Positionsdaten-basierten Spielanalyse von ihren Kinderschuhen bis hin zum Status quo.
Im Zentrum stehen die Erkenntnisse, die uns die moderne Spielanalyse heute liefert:
Anhand von zahlreichen Beispielen aus der Fuball Bundesliga, anderen Ligen des europischen Spitzensports und der Champions League wird anschaulich gezeigt, wie taktische Aspekte modelliert, einzelne Spiele oder ganze Saisons per Mausklick analysiert und anschlieend interpretiert werden knnen.
Die Ergebnisse sollen dem sierten (Fuball-)Fan als Leser nicht nur spannende Einblicke hinter die Kulissen des Profifuballs verschaffen, sondern auch die eigenen Vorstellungen und berzeugungen bezglich Fuballtaktik auf sportlich hchstem Niveau hinterfragen und zu neuen berlegungen anregen. Read more... ]]>Sun, 08 Oct 2017 03:24:02 GMTTransport Processes at Fluidic Interfaces (Advances in Mathematical Fluid Mechanics)
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There are several physico-chemical processes that determine the behavior of multiphase fluid systems e.g., the fluid dynamics in the different phases and the dynamics of the interface(s), mass transport between the fluids, adsorption effects at the interface, and transport of surfactants on the interface and result in heterogeneous interface properties. In general, these processes are strongly coupled and local properties of the interface play a crucial role. A thorough understanding of the behavior of such complex flow problems must be based on physically sound mathematical models, which especially account for the local processes at the interface.
This book presents recent findings on the rigorous derivation and mathematical analysis of such models and on the development of numerical methods for direct numerical simulations. Validation results are based on specifically designed experiments using high-resolution experimental techniques. A special feature of this book is its focus on an interdisciplinary research approach combining Applied Analysis, Numerical Mathematics, Interface Physics and Chemistry, as well as relevant research areas in the Engineering Sciences. The contributions originated from the joint interdisciplinary research projects in the DFG Priority Programme SPP 1506 Transport Processes at Fluidic Interfaces. Read more... ]]>Sun, 08 Oct 2017 02:36:00 GMTLinear Algebra (Compact Textbooks in Mathematics)
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This self-contained, clearly written textbook on linear algebra is easily accessible for students. It begins with the simple linear equation and generalizes several notions from this equation for the system of linear equations and introduces the main ideas using matrices. It then offers a detailed chapter on determinants and introduces the main ideas with detailed proofs.
The third chapter introduces the Euclidean spaces using very simple geometric ideas and discusses various major inequalities and identities. These ideas offer a solid basis for understanding general Hilbert spaces in functional analysis. The following two chapters address general vector spaces, including some rigorous proofs to all the main results, and linear transformation: areas that are ignored or are poorly explained in many textbooks. Chapter 6 introduces the idea of matrices using linear transformation, which is easier to understand than the usual theory of matrices approach. The final two chapters are more advanced, introducing the necessary concepts of eigenvalues and eigenvectors, as well as the theory of symmetric and orthogonal matrices. Each idea presented is followed by examples.
The book includes a set of exercises at the end of each chapter, which have been carefully chosen to illustrate the main ideas. Some of them were taken (with some modifications) from recently published papers, and appear in a textbook for the first time. Detailed solutions are provided for every exercise, and these Read more... ]]>Sat, 07 Oct 2017 11:03:55 GMTSmooth Bezier Surfaces over Unstructured Quadrilateral Meshes (Lecture Notes of the Unione Matematica Italiana)
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Using an elegant mixture of geometry, graph theory and linear analysis, this monograph completely solves a problem lying at the interface of Isogeometric Analysis (IgA) and Finite Element Methods (FEM). The recent explosion of IgA, strongly tying Computer Aided Geometry Design to Analysis, does not easily apply to the rich variety of complex shapes that engineers have to design and analyse.
Therefore new developments have studied the extension of IgA to unstructured unions of meshes, similar to those one can find in FEM. The following problem arises: given an unstructured planar quadrilateral mesh, construct a C1-surface, by piecewise Bezier or B-Spline patches defined over this mesh. This problem is solved for C1-surfaces defined over plane bilinear Bezier patches, the corresponding results for B-Splines then being simple consequences. The method can be extended to higher-order quadrilaterals and even to three dimensions, and the most recent developments in this direction are also mentioned here. Read more... ]]>Sat, 07 Oct 2017 11:03:13 GMTMathematics for circuits (Introductory monographs in mathematics)
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Mathematics for circuits (Introductory monographs in mathematics) Read more... ]]>Fri, 06 Oct 2017 22:49:44 GMTVisualizing Mathematics with 3D Printing
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Wouldn't it be great to experience three-dimensional ideas in three dimensions? In this bookthe first of its kindmathematician and mathematical artist Henry Segerman takes readers on a fascinating tour of two-, three-, and four-dimensional mathematics, exploring Euclidean and non-Euclidean geometries, symmetry, knots, tilings, and soap films. Visualizing Mathematics with 3D Printing includes more than 100 color photographs of 3D printed models. Readers can take the book's insights to a new level by visiting its sister website, 3dprintmath.com, which features virtual three-dimensional versions of the models for readers to explore. These models can also be ordered online or downloaded to print on a 3D printer.
Combining the strengths of book and website, this volume pulls higher geometry and topology out of the realm of the abstract and puts it into the hands of anyone fascinated by mathematical relationships of shape. With the book in one hand and a 3D printed model in the other, readers can find deeper meaning while holding a hyperbolic honeycomb, touching the twists of a torus knot, or caressing the curves of a Klein quartic. Read more... ]]>Fri, 06 Oct 2017 17:09:19 GMTA Physicist's Guide to Mathematica, Second Edition
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For the engineering and scientific professional, A Physicist's Guide to Mathematica, 2e provides an updated reference guide based on the 2007 new 6.0 release, providing an organized and integrated desk reference with step-by-step instructions for the most commonly used features of the software as it applies to research in physics.
For professors teaching physics and other science courses using the Mathematica software, A Physicist's Guide to Mathematica, 2e is the only fully compatible (new software release) Mathematica text that engages students by providing complete topic coverage, new applications, exercises and examples that enable the user to solve a wide range of physics problems.
- Does not require prior knowledge of Mathematica or computer programming
- Can be used as either a primary or supplemental text for upper-division physics majors and an Instructor's Solutions Manual is available
- Provides over 450 end-of-section exercises and end-of-chapter problems
- Serves as a reference suitable for chemists, physical scientists, and engineers
- Compatible with Mathematica Version 6, a recent major release
- Compact disk contains all of the Mathematica input and output in this book Read more... ]]>Fri, 06 Oct 2017 12:57:03 GMTA Physicist's Guide to Mathematica
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A Physicists Guide to Mathematica(r) teaches students and professional physicists how to master Mathematica using examples and approaches that will appeal to them. The book illustrates the usefulness of Mathematica in learning, teaching, and carrying out research in physics. Part One gives a practical, physics-oriented, and self-contained introduction to the program. Part Two covers the application of Mathematica to mechanics, electricityand magnetism, and quantum physics.
Mathematica enables the user to solve a wide range of physics problems, from the most important to those that are just for fun, and provides an environment that allows the user to develop a greater intuitive understanding of physics. This book aids the reader in using Mathematica for numerical, symbolic, and graphical calculations, and also demonstrates the programs capability to animate two- and three-dimensional graphics. Tams treatment of the subject is greatly detailed, and makes this book an essential reference for anyone needing an introduction to Mathematicas application to physics.
This book teaches upper-division and graduate physics students as well as professional physicists how to master Mathematic(r), using examples and approaches that are motivating to them. It also shows that this computer algebra system can be a powerful and wonderful tool for learning, teaching, and doing physics. Part I gives a practical, physics-oriented, and self-contained introduction to Mathematica. Part II con Read more... ]]>Fri, 06 Oct 2017 12:55:10 GMTRecent Applications of Harmonic Analysis to Function Spaces, Differential Equations, and Data Science: Novel Methods in Harmonic Analysis, Volume 2 (Applied and Numerical Harmonic Analysis)
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The second of a two volume set on novel methods in harmonic analysis, this book draws on a number of original research and survey papers from well-known specialists detailing the latest innovations and recently discovered links between various fields. Along with many deep theoretical results, these volumes contain numerous applications to problems in signal processing, medical imaging, geodesy, statistics, and data science.
The chapters within cover an impressive range of ideas from both traditional and modern harmonic analysis, such as: the Fourier transform, Shannon sampling, frames, wavelets, functions on Euclidean spaces, analysis on function spaces of Riemannian and sub-Riemannian manifolds, Fourier analysis on manifolds and Lie groups, analysis on combinatorial graphs, sheaves, co-sheaves, and persistent homologies on topological spaces.
Volume II is organized around the theme of recent applications of harmonic analysis to function spaces, differential equations, and data science, covering topics such as:
The classical Fourier transform, the non-linear Fourier transform (FBI transform), cardinal sampling series and translation invariant linear systems.
Recent results concerning harmonic analysis on non-Euclidean spaces such as graphs and partially ordered sets.
Applications of harmonic analysis to data science and statistics
Boundary-value problems for PDE's including the RungeWalsh theorem for the oblique derivative problem of physical geodesy. Read more... ]]>Fri, 06 Oct 2017 11:21:15 GMTPercolation
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Percolation theory was initiated some fifty years ago as a mathematical framework for the study of random physical processes such as flow through a disordered porous medium. It has proved to be a remarkably rich theory, with applications beyond natural phenomena to topics such as network modelling. The aims of this book, first published in 2006, are twofold. First to present classical results in a way that is accessible to non-specialists. Second, to describe results of Smirnov in conformal invariance, and outline the proof that the critical probability for random Voronoi percolation in the plane is 1/2. Throughout, the presentation is streamlined, with elegant and straightforward proofs requiring minimal background in probability and graph theory. Numerous examples illustrate the important concepts and enrich the arguments. All-in-all, it will be an essential purchase for mathematicians, physicists, electrical engineers and computer scientists working in this exciting area.
My Link Read more... ]]>Fri, 06 Oct 2017 10:06:35 GMTA Passion for Mathematics: Numbers, Puzzles, Madness, Religion and the Quest for Reality
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""A Passion for Mathematics"" is an educational, entertaining trip through the curiosities of the math world, blending an eclectic mix of history, biography, philosophy, number theory, geometry, probability, huge numbers, and mind-bending problems into a delightfully compelling collection that is sure to please math buffs, students, and experienced mathematicians alike. In each chapter, Clifford Pickover provides factoids, anecdotes, definitions, quotations, and captivating challenges that range from fun, quirky puzzles to insanely difficult problems. Readers will encounter mad mathematicians, strange number sequences, obstinate numbers, curious constants, magic squares, fractal geese, monkeys typing Hamlet, infinity, and much, much more. ""A Passion for Mathematics"" will feed readers' fascination while giving them problem-solving skills a great workout! Read more... ]]>Fri, 06 Oct 2017 09:54:06 GMTBayesian Optimization for Materials Science
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This book provides a short and concise introduction to Bayesian optimization specifically for experimental and computational materials scientists. After explaining the basic idea behind Bayesian optimization and some applications to materials science in Chapter 1, the mathematical theory of Bayesian optimization is outlined in Chapter 2.
Finally, Chapter 3 discusses an application of Bayesian optimization to a complicated structure optimization problem in computational surface science.Bayesian optimization is a promising global optimization technique that originates in the field of machine learning and is starting to gain attention in materials science. For the purpose of materials design, Bayesian optimization can be used to predict new materials with novel properties without extensive screening of candidate materials. For the purpose of computational materials science, Bayesian optimization can be incorporated into first-principles calculations to perform efficient, global structure optimizations. While research in these directions has been reported in high-profile journals, until now there has been no textbook aimed specifically at materials scientists who wish to incorporate Bayesian optimization into their own research. This book will be accessible to researchers and students in materials science who have a basic background in calculus and linear algebra. Read more... ]]>Fri, 06 Oct 2017 09:12:34 GMTMATLAB Optimization Techniques
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MATLAB is a high-level language and environment for numerical computation, visualization, and programming. Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language, tools, and built-in math functions enable you to explore multiple approaches and reach a solution faster than with spreadsheets or traditional programming languages, such as C/C++ or Java.
MATLAB Optimization Techniques introduces you to the MATLAB language with practical hands-on instructions and results, allowing you to quickly achieve your goals. It begins by introducing the MATLAB environment and the structure of MATLAB programming before moving on to the mathematics of optimization. The central part of the book is dedicated to MATLAB’s Optimization Toolbox, which implements state-of-the-art algorithms for solving multiobjective problems, non-linear minimization with boundary conditions and restrictions, minimax optimization, semi-infinitely constrained minimization and linear and quadratic programming. A wide range of exercises and examples are included, illustrating the most widely used optimization methods.
What you?ll learn
• The MATLAB environment and MATLAB programming.
• How to solve equations and systems of equations with MATLAB.
• The main features of MATLAB's Optimization Toolbox, which implements state-of-the art algorithms for solving optimization problems.
• How to use MATLAB for multivariate calculus.
• A wide range of opti Read more... ]]>Fri, 06 Oct 2017 07:52:04 GMTIntroduction to the Mathematics of Finance: Arbitrage and Option Pricing (Undergraduate Texts in Mathematics)
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The Mathematics of Finance has been a hot topic ever since the discovery of the Black-Scholes option pricing formulas in 1973. Unfortunately, there are very few undergraduate textbooks in this area. This book is specifically written for advanced undergraduate or beginning graduate students in mathematics, finance or economics. This book concentrates on discrete derivative pricing models, culminating in a careful and complete derivation of the Black-Scholes option pricing formulas as a limiting case of the Cox-Ross-Rubinstein discrete model. This second edition is a complete rew Read more... ]]>Fri, 06 Oct 2017 07:14:03 GMTApplied Mathematics for Database Professionals (Expert's Voice)
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This book touches on an area seldom explored: the mathematical underpinnings of the relational database. The topic is important, but far too often ignored. This is the first book to explain the underlying math in a way that’s accessible to database professionals. Just as importantly, if not more so, this book goes beyond the abstract by showing readers how to apply that math in ways that will make them more productive in their jobs. What’s in this book will "open the eyes" of most readers to the great power, elegance, and simplicity inherent in relational database technology. Read more... ]]>Fri, 06 Oct 2017 06:51:15 GMTMultilinear Algebra (Universitext)
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This book is a revised version of the first edition and is intended as a Linear Algebra sequel and companion volume to the fourth edition of (Graduate Texts in Mathematics). Read more... ]]>Fri, 06 Oct 2017 06:45:50 GMTIntroduction to Vectors and Tensors Volume 1: Linear and Multilinear Algebra (Mathematical Concepts and Methods in Science and Engineering)
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“Introduction to Vectors and Tensors, Vol. 1, Linear and Multilinear Algebra”
“Introduction to Vectors and Tensors, Vol. 2, Vector and Tensor Analysis”
by Ray M. Bowen and C.-C. Wang
Series: Mathematical Concepts and Methods in Science and Engineering (Book 1)
Hardcover: 242 pages
Publisher: Springer 1 edition (May 31, 1976)
Language: English
ISBN-10: 0306375087 Read more... ]]>Fri, 06 Oct 2017 06:33:54 GMTIntroduction to Nonparametric Regression
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Written for undergraduate and graduate courses, this text takes a step-by-step approach and assumes students have only a basic knowledge of linear algebra and statistics. The explanations therefore avoid complex mathematics and excessive abstract theory, and even statistical information is accompanied by clear numerical examples and equations are explained all the way through the process. Topics include smoothing out data with an equispaced predictor, nonparametric regression for a one-dimensional predictor, multidimensional smoothing, nonparametric regression with predictors represented as distributions, smoothing of histograms and nonparametric probability density functions and pattern recognition. Each chapter includes exercises.
Read more... ]]>Fri, 06 Oct 2017 05:08:05 GMTFinancial Derivatives in Theory and Practice, First Edition
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This book brings together in one volume both a complete, rigorous and yet readable account of the mathematics underlying derivative pricing and a guide to applying these ideas to solve real pricing problems. It is aimed at practitioners and researchers who wish to understand the latest finance literature and develop their own pricing models. The authors' combination of strong theoretical knowledge and extensive market experience make this book particularly relevant for those interested in real world applications of mathematical finance.
Read more... ]]>Fri, 06 Oct 2017 05:02:17 GMTIntroductory Stochastic Analysis for Finance and Insurance (Wiley Series in Probability and Statistics)
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Incorporates the many tools needed for modeling and pricing in finance and insurance Introductory Stochastic Analysis for Finance and Insurance introduces readers to the topics needed to master and use basic stochastic analysis techniques for mathematical finance. The author presents the theories of stochastic processes and stochastic calculus and provides the necessary tools for modeling and pricing in finance and insurance. Practical in focus, the book's emphasis is on application, intuition, and computation, rather than theory. Consequently, the text is of interest to graduate students, researchers, and practitioners interested in these areas. While the text is self-contained, an introductory course in probability theory is beneficial to prospective readers. This book evolved from the author's experience as an instructor and has been thoroughly classroom-tested. Following an introduction, the author sets forth the fundamental information and tools needed by researchers and practitioners working in the financial and insurance industries: * Overview of Probability Theory * Discrete-Time stochastic processes * Continuous-time stochastic processes * Stochastic calculus: basic topics The final two chapters, Stochastic Calculus: Advanced Topics and Applications in Insurance, are devoted to more advanced topics. Readers learn the Feynman-Kac formula, the Girsanov's theorem, and complex barrier hitting times distributions. Finally, readers discover how stochastic analysis and prin Read more... ]]>Fri, 06 Oct 2017 05:00:24 GMTAnalysis of Financial Time Series, First Edition
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This book is awesome. It starts with bedrock concepts needed for analysis of financial data and it takes the student up to the most recent and important techniques used in the industry today. However, if one expects to fully utilize this text, one should have at least one semester of applied econometrics or some equivalent course in statistics and continuous probability, although it will be practical to study the two topics concurrently.
Read more... ]]>Fri, 06 Oct 2017 04:58:09 GMTA Panorama of Hungarian Mathematics in the Twentieth Century, I (Bolyai Society Mathematical Studies) (v. 1)
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A glorious period of Hungarian mathematics started in 1900 when Lipot Fejer discovered the summability of Fourier series.This was followed by the discoveries of his disciples in Fourier analysis and in the theory of analytic functions. At the same time Frederic (Frigyes) Riesz created functional analysis and Alfred Haar gave the first example of wavelets. Later the topics investigated by Hungarian mathematicians broadened considerably, and included topology, operator theory, differential equations, probability, etc. The present volume, the first of two, presents some of the most remarkable results achieved in the twentieth century by Hungarians in analysis, geometry and stochastics.
The book is accessible to anyone with a minimum knowledge of mathematics. It is supplemented with an essay on the history of Hungary in the twentieth century and biographies of those mathematicians who are no longer active. A list of all persons referred to in the chapters concludes the volume.
Read more... ]]>Thu, 05 Oct 2017 22:55:12 GMTUbungsbuch zur Finanzmathematik: Aufgaben, Testklausuren und ausfuhrliche Losungen (German Edition)
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Die Aufgaben stammen im Wesentlichen aus dem Lehrbuch Einfuhrung in die Finanzmathematik. Das Ubungsbuch enthalt die Losungen der Aufgaben, dient also gleichzeitig als Losungsbuch fur das genannte Lehrbuch. Neben den thematisch angeordneten Ubungen enthalt das Buch zahlreiche Testklausuren. Read more... ]]>Thu, 05 Oct 2017 18:38:54 GMTTeaching School Mathematics: Pre-Algebra
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This is a systematic exposition of a major part of the mathematics of grades 5 to 8 (excluding statistics), written specifically for Common Core era teachers. It differs from other books for teachers in that the mathematics is correct, in the sense that all the concepts are clearly and correctly defined, and a grade-appropriate explanation (that is, proof) is given for every assertion. For example, it gives a precise definition of percent and explains how to use the definition to do all the standard problems about percent in an entirely routine manner. It also gives a leisurely explanation for ``negative times negative is positive''. Another key feature is an intuitive introduction to plane geometry via rotations, translations, reflections, and dilations that, instead of treating these transformations as merely fun activities, shows how they make sense of the usual geometric topics in middle school, including congruence, similarity, length, area, and volume. In short, the readers will find in this volume a clear explanation of whatever was once puzzling to them in the mathematics of grades 5 to 8.
Read more... ]]>Thu, 05 Oct 2017 17:39:40 GMTTeaching School Mathematics: Algebra
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This is a systematic exposition of introductory school algebra written specifically for Common Core era teachers. The emphasis of the exposition is to give a mathematically correct treatment of introductory algebra. For example, it explains the proper use of symbols, why ``variable'' is not a mathematical concept, what an equation is, what equation-solving means, how to define the slope of a line correctly, why the graph of a linear equation in two variables is a straight line, why every straight line is the graph of a linear equation in two variables, how to use the shape of the graph of a quadratic function as a guide for the study of quadratic functions, how to define a parabola correctly, why the graph of a quadratic function is a parabola, why all parabolas are similar, etc. This exposition of algebra makes full use of the geometric concepts of congruence and similarity, and it justifies why the Common Core Standards on algebra are written the way they are.
Read more... ]]>Thu, 05 Oct 2017 17:08:00 GMTSasakian Geometry (Oxford Mathematical Monographs)
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This book is an extensive monograph on Sasakian manifolds , focusing on the intricate relationship between Kahler and Sasakian geometries. The subject is introduced by discussion of several background topics, including the theory of Riemannian foliations, compact complex and Kahler orbifolds, and the existence and and obstruction theory of Kahler-Einstein metrics on complex compact orbifolds. There is then a discussion of contact and almost contact structures in the Riemannian setting, in which compact quasi-regular Sasakian manifolds emerge as algebraic objects. There is an extensive discussion of the symmetries of Sasakian manifolds, leading to a study of Sasakian structures on links of isolated hypersurface singularities. This is followed by an in-depth study of compact sasakian manifolds in dimensions three and five. The final section of the book deals with the existence of Sasaki-Einstein metrics. 3-Sasakian manifolds and the role of sasakian-Einstein geometry in String Theory are discussed separately.
Read more... ]]>Thu, 05 Oct 2017 16:44:48 GMTConformal Invariants, Inequalities, and Quasiconformal Maps (Wiley-Interscience and Canadian Mathematics Series of Monographs and Texts)
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Conformal invariants provide a link between the geometry of plane domains and conformal maps. This book presents a unified treatment of conformal invariants in geometric function theory. It bridges the gap between classical theory of special functions and modern topics in geometric function theory. It combines numerous exercises with full and partial solutions. A software supplement with programs in MATLAB, Mathematica and C allows the user to create takes and carry out experimental studies. Read more... ]]>Thu, 05 Oct 2017 15:51:52 GMTConvex Analysis: An Introductory Text
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An introductory text on convex sets, convex functions and convex optimization. Emphasizes the basic concepts and the characteristic methods of convex mathematics, and includes proofs and theorems that focus on practical applications. Read more... ]]>Thu, 05 Oct 2017 15:21:14 GMTCultural Foundations Of Mathematics Vol X Part 4
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Cultural Foundations of Mathematics: The Nature of Mathematical Proof and the Transmission of the Calculus from India to Europe in the 16th c. CE: Project of History of Science, Philosophy and Culture in Indian Civilization Volume X Part 4
Read more... ]]>Thu, 05 Oct 2017 12:37:47 GMTConvergence Theorems for Lattice Group-Valued Measures
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Convergence Theorems for Lattice Group-valued Measures explains limit and boundedness theorems for measures taking values in abstract structures. The book begins with a historical survey about these topics since the beginning of the last century, moving on to basic notions and preliminaries on filters/ideals, lattice groups, measures and tools which are featured in the rest of this text. Readers will also find a survey on recent classical results about limit, boundedness and extension theorems for lattice group-valued measures followed by information about recent developments on these kinds of theorems and several results in the setting of filter/ideal convergence. In addition, each chapter has a general description of the topics and an appendix on random variables, concepts and lattices is also provided. Thus readers will benefit from this book through an easy-to-read historical survey about all the problems on convergence and boundedness theorems, and the techniques and tools which are used to prove the main results. The book serves as a primer for undergraduate, postgraduate and Ph. D. students on mathematical lattice and topological groups and filters, and a treatise for expert researchers who aim to extend their knowledge base. Read more... ]]>Thu, 05 Oct 2017 12:17:27 GMTAdvances in Real and Complex Analysis with Applications (Trends in Mathematics)
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This book discusses a variety of topics in mathematics and engineering as well as their applications, clearly explaining the mathematical concepts in the simplest possible way and illustrating them with a number of solved examples.
The topics include real and complex analysis, special functions and analytic number theory, q-series, Ramanujan’s mathematics, fractional calculus, Clifford and harmonic analysis, graph theory, complex analysis, complex dynamical systems, complex function spaces and operator theory, geometric analysis of complex manifolds, geometric function theory, Riemannian surfaces, Teichmuller spaces and Kleinian groups, engineering applications of complex analytic methods, nonlinear analysis, inequality theory, potential theory, partial differential equations, numerical analysis , fixed-point theory, variational inequality, equilibrium problems, optimization problems, stability of functional equations, and mathematical physics.
It includes papers presented at the 24th International Conference on Finite or Infinite Dimensional Complex Analysis and Applications (24ICFIDCAA), held at the Anand International College of Engineering, Jaipur, 22–26 August 2016. The book is a valuable resource for researchers in real and complex analysis. Read more... ]]>Thu, 05 Oct 2017 11:09:50 GMTPrecalculus With Limits A Graphing Approach 5th Edition
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Ron Larson received his Ph.D. in mathematics from the University of Colorado in 1970. At that time, he accepted a position with Penn State University in Erie, Pennsylvania, and currently holds the rank of professor of mathematics at the university. Ron is the lead author for over forty mathematics textbooks from 6th grade through calculus. Many of his texts, such as the 9th edition of is calculus text, are leaders in their markets.
Ron Larson is one of the pioneers in the use of multimedia to enhance the learning of mathematics. He has authored multimedia programs that range from 1st grade through calculus. To help with the development of his textbooks and multimedia programs, Ron founded Larson Texts, Inc., which with its publishing wing, Big Ideas Learning, employs about 60 people. Ron’s most recent new textbook series is called “Big Ideas Math”. It is the first middle school mathematics series to adhere to the NCTM’s new “Focal Points Curriculum”. Read more... ]]>Thu, 05 Oct 2017 10:12:52 GMTSmart City Networks: Through the Internet of Things
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This book both analyzes and synthesizes new cutting-edge theories and methods for future design implementations in smart cities through interdisciplinary synergizing of architecture, technology, and the Internet of Things (IoT). Implementation of IoT enables the collection and data exchange of objects embedded with electronics, software, sensors, and network connectivity.
Recently IoT practices have moved into uniquely identifiable objects that are able to transfer data directly into networks. This book features new technologically advanced ideas, highlighting properties of smart future city networks.
Chapter contributors include theorists, computer scientists, mathematicians, and interdisciplinary planners, who currently work on identifying theories, essential elements, and practices where the IoT can impact the formation of smart cities and sustainability via optimization, network analyses, data mining, mathematical modeling and engineering. Moreover, this book includes research-based theories and real world practices aimed toward graduate researchers, experts, practitioners and the general public interested in architecture, engineering, mathematical modeling, industrial design, computer science technologies, and related fields. Read more... ]]>Thu, 05 Oct 2017 09:45:08 GMTStochastic Analysis and Related Topics: A Festschrift in Honor of Rodrigo Banuelos (Progress in Probability)
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The articles in this collection are a sampling of some of the research presented during the conference “Stochastic Analysis and Related Topics”, held in May of 2015 at Purdue University in honor of the 60th birthday of Rodrigo Banuelos. A wide variety of topics in probability theory is covered in these proceedings, including heat kernel estimates, Malliavin calculus, rough paths differential equations, Levy processes, Brownian motion on manifolds, and spin glasses, among other topics. Read more... ]]>Thu, 05 Oct 2017 09:08:37 GMTStochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
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This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology.
This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations.
Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology. Read more... ]]>Thu, 05 Oct 2017 08:59:06 GMTNonlocal and Nonlinear Diffusions and Interactions: New Methods and Directions: Cetraro, Italy 2016 (Lecture Notes in Mathematics)
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Presenting a selection of topics in the area of nonlocal and nonlinear diffusions, this book places a particular emphasis on new emerging subjects such as nonlocal operators in stationary and evolutionary problems and their applications, swarming models and applications to biology and mathematical physics, and nonlocal variational problems.
The authors are some of the most well-known mathematicians in this innovative field, which is presently undergoing rapid development. The intended audience includes experts in elliptic and parabolic equations who are interested in extending their expertise to the nonlinear setting, as well as Ph.D. or postdoctoral students who want to enter into the most promising research topics in the field. Read more... ]]>Thu, 05 Oct 2017 08:58:20 GMTAnother Fine Math You've Got Me Into. . . (Dover Recreational Math)
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Populated by curious creatures whose stories unfold with jokes and puns, this mathematical wonderland of puzzles and games also imparts significant mathematical ideas. Ian Stewart, an active popularizer of mathematics, university professor, and former columnist for Scientific American's "Mathematical Games" section, has selected 16 of his columns from Pour la Science, the French edition of Scientific American, most based on a mathematical idea dressed up with oddball characters and wacky wordplay.
Read more... ]]>Thu, 05 Oct 2017 07:03:48 GMT