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16043Fuzzy Graph Theory (Studies in Fuzziness and Soft Computing)
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This book provides a timely overview of fuzzy graph theory, laying the foundation for future applications in a broad range of areas. It introduces readers to fundamental theories, such as Craine’s work on fuzzy interval graphs, fuzzy analogs of Marczewski’s theorem, and the Gilmore and Hoffman characterization. It also introduces them to the Fulkerson and Gross characterization and Menger’s theorem, the applications of which will be discussed in a forthcoming book by the same authors. This book also discusses in detail important concepts such as connectivity, distance and saturation in fuzzy graphs.
Thanks to the good balance between the basics of fuzzy graph theory and new findings obtained by the authors, the book offers an excellent reference guide for advanced undergraduate and graduate students in mathematics, engineering and computer science, and an inspiring read for all researchers interested in new developments in fuzzy logic and applied mathematics. Read more... ]]>Sun, 18 Feb 2018 08:44:39 GMTAnalytic Number Theory, Modular Forms and q-Hypergeometric Series: In Honor of Krishna Alladi's 60th Birthday, University of Florida, Gainesville, ... Proceedings in Mathematics <![CDATA[&]]> Statistics)
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Gathered from the 2016 Gainesville Number Theory Conference honoring Krishna Alladi on his 60th birthday, these proceedings present recent research in number theory. Extensive and detailed, this volume features 40 articles by leading researchers on topics in analytic number theory, probabilistic number theory, irrationality and transcendence, Diophantine analysis, partitions, basic hypergeometric series, and modular forms. Readers will also find detailed discussions of several aspects of the path-breaking work of Srinivasa Ramanujan and its influence on current research. Many of the papers were motivated by Alladi's own research on partitions and q-series as well as his earlier work in number theory.
Alladi is well known for his contributions in number theory and mathematics. His research interests include combinatorics, discrete mathematics, sieve methods, probabilistic and analytic number theory, Diophantine approximations, partitions and q-series identities. Graduate students and researchers will find this volume a valuable resource on new developments in various aspects of number theory. Read more... ]]>Sun, 18 Feb 2018 08:31:44 GMTAnalytic and Algebraic Geometry (IAS/Park City Mathematics Series)
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Analytic and algebraic geometers often study the same geometric structures but bring different methods to bear on them. While this dual approach has been spectacularly successful at solving problems, the language differences between algebra and analysis also represent a difficulty for students and researchers in geometry, particularly complex geometry. The PCMI program was designed to partially address this language gulf, by presenting some of the active developments in algebraic and analytic geometry in a form suitable for students on the "other side" of the analysis-algebra language divide. One focal point of the summer school was multiplier ideals, a subject of wide current interest in both subjects. The present volume is based on a series of lectures at the PCMI summer school on analytic and algebraic geometry. The series is designed to give a high-level introduction to the advanced techniques behind some recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented, in order to enhance access of this material to non-specialists. Read more... ]]>Sun, 18 Feb 2018 08:30:45 GMTGrundkurs Statistik in den Sozialwissenschaften: Eine leicht verstandliche, anwendungsorientierte Einfuhrung in das sozialwissenschaftlich notwendige statistische Wissen (German Edition) [German]
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Das Buch ist gedacht fr Sozialwissenschaftlerinnen und Sozialwissenschaftler, die in einem Kurs vom Umfang eines Semesters das fr sie notwendige Basiswissen erlangen wollen. Es vermittelt seinen Lesern "statistical literacy", so dass sie Output-Tabellen aus Statistik-Programmen lesen, statistische Aussagen in wissenschaftlichen Publikationen einordnen, Meinungsumfragen statistisch fundiert kritisieren und eigene Datenstze mit den statistischen Grundverfahren beschreiben knnen. Es arbeitet mit wenig Mathematik, vielen Grafiken und Original-Output des Statistik-Programms SPSS. Read more... ]]>Sun, 18 Feb 2018 07:45:21 GMTModeling and Control of Discrete-event Dynamic Systems: with Petri Nets and Other Tools (Advanced Textbooks in Control and Signal Processing)
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Discrete-event dynamic systems (DEDs) permeate our world. They are of great importance in modern manufacturing processes, transportation and various forms of computer and communications networking. This book begins with the mathematical basics required for the study of DEDs and moves on to present various tools used in their modeling and control. Industrial examples illustrate the concepts and methods discussed, making this book an invaluable aid for students embarking on further courses in control, manufacturing engineering or computer studies. Read more... ]]>Sun, 18 Feb 2018 07:02:28 GMTMy Numbers, My Friends: Popular Lectures on Number Theory
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This selection of expository essays by Paulo Ribenboim should be of interest to mathematicians from all walks. Ribenboim, a highly praised author of several popular titles, writes each essay in a light and humorous language without secrets, making them thoroughly accessible to everyone with an interest in numbers. This new collection includes essays on Fibonacci numbers, prime numbers, Bernoulli numbers, and historical presentations of the main problems pertaining to elementary number theory, such as Kummers work on Fermat's last theorem. Read more... ]]>Sun, 18 Feb 2018 07:00:07 GMTDatenqualitat in Stichprobenerhebungen: Eine verstandnisorientierte Einfuhrung in Stichprobenverfahren und verwandte Themen (Statistik und ihre Anwendungen) (German Edition) [German]
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ber aus Stichproben abgeleiteten Erkenntnisse wie Wahlprognosen oder der Pisa-Studie wird tagtglich in Tageszeitungen und Nachrichtensendungen berichtet. Im Sinne eines wissenschaftlichen Unterbaus setzt sich die Stichprobentheorie damit auseinander, wie die Auswahl jener Teile erfolgen muss, aus deren Beobachtung auf die Gesamtheit rckgeschlossen wird, und wie dieser Rckschluss vorgenommen werden soll. Die Kernfragen sind dabei: wie stark schwanken Stichprobenergebnisse und wie lsst sich diese Ungenauigkeit beeinflussen.
Das Buch bietet eine verstndnisorientierte Einfhrung in Stichprobenverfahren und Schtzmethoden und ihre Anwendung. Diese wird untersttzt durch einfach nachvollziehbare, das Verstndnis gerade dadurch frdernde Beispiele. Dabei werden weder die Nonresponseproblematik noch Auswahltechniken wie das Quotenverfahren ausgeklammert. Read more... ]]>Sun, 18 Feb 2018 06:09:56 GMT3: Proofs Without Words III: Further Exercises in Visual Thinking (Classroom Resource Materials)
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Proofs without words (PWWs) are figures or diagrams that help the reader see why a particular mathematical statement is true, and how one might begin to formally prove it true. PWWs are not new, many date back to classical Greece, ancient China, and medieval Europe and the Middle East. PWWs have been regular features of the MAA journals Mathematics Magazine and The College Mathematics Journal for many years, and the MAA published the collections of PWWs Proofs Without Words: Exercises in Visual Thinking in 1993 and Proofs Without Words II: More Exercises in Visual Thinking in 2000. This book is the third such collection of PWWs.
The proofs in the book are divided by topic into five chapters: Geometry and Algebra Trigonometry, Calculus and Analytic Geometry Inequalities Integers and Integer Sums and Infinite Series and Other Topics. The proofs in the book are intended primarily for the enjoyment of the reader, however, teachers will want to use them with students at many levels: high school courses from algebra through precalculus and calculus college level courses in number theory, combinatorics, and discrete mathematics and pre-service and in-service courses for teachers. Read more... ]]>Sun, 18 Feb 2018 04:18:52 GMTRecent Advances in Algebraic Geometry: A Volume in Honor of Rob Lazarsfeld's 60th Birthday (London Mathematical Society Lecture Note Series)
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Contemporary research in algebraic geometry is the focus of this collection, which presents articles on modern aspects of the subject. The list of topics covered is a roll-call of some of the most important and active themes in this thriving area of mathematics: the reader will find articles on birational geometry, vanishing theorems, complex geometry and Hodge theory, free resolutions and syzygies, derived categories, invariant theory, moduli spaces, and related topics, all written by leading experts. The articles, which have an expository flavour, present an overall picture of current research in algebraic geometry, making this book essential for researchers and graduate students. This volume is the outcome of the conference Recent Advances in Algebraic Geometry, held in Ann Arbor, Michigan, to honour Rob Lazarsfeld's many contributions to the subject on the occasion of his 60th birthday. Read more... ]]>Sun, 18 Feb 2018 04:17:40 GMTIntroduction to Graph Theory (5th Edition)
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In recent years graph theory has emerged as a subject in its own right, as well as being an important mathematical tool in such diverse subjects as operational research, chemistry, sociology and genetics. Robin Wilsons book has been widely used as a text for undergraduate courses in mathematics, computer science and economics, and as a readable introduction to the subject for non-mathematicians.
The opening chapters provide a basic foundation course, containing definitions and examples, connectedness, Eulerian and Hamiltonian paths and cycles, and trees, with a range of applications. This is followed by two chapters on planar graphs and colouring, with special reference to the four-colour theorem. The next chapter deals with transversal theory and connectivity, with applications to network flows. A final chapter on matroid theory ties together material from earlier chapters, and an appendix discusses algorithms and their efficiency. Read more... ]]>Sun, 18 Feb 2018 03:33:46 GMTStatistik in Theorie und Praxis: Mit Anwendungen in R (Mathematik fur das Lehramt) (German Edition) [German]
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"Statistik in Theorie und Praxis" schlgt die Brcke statistischer Theorie und realen praktischen Anwendungen. Zum einen wird Wert auf eine saubere Herleitung der gngigen statistischen Verfahren gelegt. Zum anderen beinhaltet der zweite Themenschwerpunkt reale Anwendungen der Methoden in der Praxis. Darber hinaus werden Projekte an der Schnittstelle zwischen Schul- und Hochschulunterricht vorgestellt. Als Software dient das kostenlose Programm R mit der zugehrigen grafischen Oberflche R-Commander die zahlreichen Programmbeispiele ermglichen es, die vorgestellten Themen selbst nachzuvollziehen. Fr die Lektre werden lediglich elementare Stochastik-Kenntnisse vorausgesetzt. Read more... ]]>Sun, 18 Feb 2018 03:03:02 GMTFuzzy Systems <![CDATA[&]]> Operations Research and Management (Advances in Intelligent Systems and Computing)
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This book includes results of the seventh International Conference on Fuzzy Information and Engineering (ICFIE'2014) and the 1st International Conference of Operations Research and Management (ICORM'2014) on November 7-11, 2014 in ZhuHai, China.
The book, contains 35 selected high-quality papers, and is divided into five main parts: Part I focuses on "Fuzzy Systems and Its Applications", Part II on "Fuzzy Mathematics and Its Applications", Part III discusses "Fuzzy Information and Computer", Part IV is devoted to "Operations Research and Management and Its Applications" and Part V includes various other topics. Read more... ]]>Sat, 17 Feb 2018 19:39:00 GMTSaddlepoint Approximation Methods in Financial Engineering (SpringerBriefs in Quantitative Finance)
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This book summarizes recent advances in applying saddlepoint approximation methods to financial engineering. It addresses pricing exotic financial derivatives and calculating risk contributions to Value-at-Risk and Expected Shortfall in credit portfolios under various default correlation models. These standard problems involve the computation of tail probabilities and tail expectations of the corresponding underlying state variables.
The text offers in a single source most of the saddlepoint approximation results in financial engineering, with different sets of ready-to-use approximation formulas. Much of this material may otherwise only be found in original research publications. The exposition and style are made rigorous by providing formal proofs of most of the results.
Starting with a presentation of the derivation of a variety of saddlepoint approximation formulas in different contexts, this book will help new researchers to learn the fine technicalities of the topic. It will also be valuable to quantitative analysts in financial institutions who strive for effective valuation of prices of exotic financial derivatives and risk positions of portfolios of risky instruments.
Kindly Support AvaxGenius And Buy Premium From My Links To Continue Produce More Amazing Posts Thanks All Read more... ]]>Sat, 17 Feb 2018 13:48:03 GMTHandbook on Navier-stokes Equations: Theory and Applied Analysis
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Navier–Stokes equations describe the motion of fluids they arise from applying Newton’s second law of motion to a continuous function that represents fluid flow. If we apply the assumption that stress in the fluid is the sum of a pressure term and a diffusing viscous term, which is proportional to the gradient of velocity, we arrive at a set of equations that describe viscous flow. This handbook provides new research on the theories and applied analysis of Navier-Stokes Equations. Read more... ]]>Sat, 17 Feb 2018 08:44:20 GMTCalculus of Variations: An Introduction to the One-Dimensional Theory with Examples and Exercises (Texts in Applied Mathematics)
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This clear and concise textbook provides a rigorous introduction to the calculus of variations, depending on functions of one variable and their first derivatives. It is based on a translation of a German edition of the book Variationsrechnung (Vieweg+Teubner Verlag, 2010), translated and updated by the author himself.
Topics include: the Euler-Lagrange equation for one-dimensional variational problems, with and without constraints, as well as an introduction to the direct methods. The book targets students who have a solid background in calculus and linear algebra, not necessarily in functional analysis. Some advanced mathematical tools, possibly not familiar to the reader, are given along with proofs in the appendix. Numerous figures, advanced problems and proofs, examples, and exercises with solutions accompany the book, making it suitable for self-study.
The book will be particularly useful for beginning graduate students from the physical, engineering, and mathematical sciences with a rigorous theoretical background. Read more... ]]>Sat, 17 Feb 2018 08:24:10 GMTIntroduction to Fourier Analysis and Wavelets (Brooks/Cole Series in Advanced Mathematics)
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Written by a successful author and respected mathematician, this book emphasizes a concrete and computational approach to the subject of Fourier analysis and wavelet theory while maintaining a balance between theory and applications. In some cases, several different proofs are offered for a given proposition, allowing students to compare different methods. Read more... ]]>Sat, 17 Feb 2018 08:14:43 GMTAnwendungsorientierte Mathematik: Von Daten zur Funktion: Eine Einfuhrung in die mathematische Modellbildung fur Lehramtsstudierende (Mathematik fur das Lehramt) (German Edition) [German]
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Gegenstand des vorliegenden Lehrbuches ist der Prozess des Anwendens von Mathematik. Im Mittelpunkt stehen dabei der Funktionsbegriff sowie mathematische Methoden zur Modellierung funktionaler Abhngigkeiten zwischen zwei Gren.
Das Buch zeichnet sich durch folgende besondere Merkmale aus:
Reale Daten als Grundlage fr viele Modellierungen als eine wichtige Voraussetzung fr einen authentischen und glaubwrdigen Unterricht an Hochschule und Schule.
Einsatz von Technologie als Werkzeug zum Problemlsen und zur Illustrierung von Konzepten und Zusammenhngen.
Vernetzung verschiedener Inhalte der Mathematik wie Elementare Funktionenlehre, Analysis, Stochastik, Lineare Algebra,Numerik.
Detaillierte Ableitungen von Ergebnissen sowie bungen und Fragen am Ende der einzelnen Kapitel mit teilweise ausgearbeiteten Lsungen und mit Lsungshinweisen helfen bei der Vertiefung des Stoffes. Read more... ]]>Sat, 17 Feb 2018 06:29:23 GMTGeometry of Riemann Surfaces (London Mathematical Society Lecture Note Series)
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Riemann surfaces is a thriving area of mathematics with applications to hyperbolic geometry, complex analysis, fractal geometry, conformal dynamics, discrete groups, geometric group theory, algebraic curves and their moduli, various kinds of deformation theory, coding, thermodynamic formalism, and topology of three-dimensional manifolds. This collection of articles, authored by leading authorities in the field, comprises 16 expository essays presenting original research and expert surveys of important topics related to Riemann surfaces and their geometry. It complements the body of recorded research presented in the primary literature by broadening, re-working and extending it in a more focused and less formal framework, and provides a valuable commentary on contemporary work in the subject. An introductory section sets the scene and provides sufficient background to allow graduate students and research workers from other related areas access to the field. Read more... ]]>Sat, 17 Feb 2018 06:14:18 GMTFour Colors Suffice: How the Map Problem Was Solved
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On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in historyone that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved.
The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron.
It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solutionwhich involved no fewer than 1,200 hours of computer timewas greeted with as much dismay as enthusiasm.
Providing a clear and elegant explanation of the problem and the proof, Robin W Read more... ]]>Sat, 17 Feb 2018 03:29:47 GMTLearning Geospatial Analysis with Python
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If you know Python and would like to use it for Geospatial Analysis this book is exactly what you've been looking for. With an organized, user-friendly approach it covers all the bases to give you the necessary skills and know-how. * Construct applications for GIS development by exploiting Python
* Focuses on built-in Python modules and libraries compatible with the Python Packaging Index distribution system- no compiling of C libraries necessary
* This is a practical, hands-on tutorial that teaches you all about Geospatial analysis in Python
* Automate Geospatial analysis workflows using Python
* Code the simplest possible GIS in 60 lines of Python
* Mold thematic maps with Python tools
* Get a hold of the various forms the geospatial data comes in
* Produce elevation contours using Python tools
* Create flood inundation models
* Learn Real-Time Data tracking and apply it in storm chasing
Read more... ]]>Sat, 17 Feb 2018 02:33:59 GMTSet Theory
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This monograph covers the recent major advances in various areas of set theory. Read more... ]]>Fri, 16 Feb 2018 18:15:08 GMTNumber Theory for Computing
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This book provides a good introduction to the classical elementary number theory and the modern algorithmic number theory, and their applications in computing and information technology, including computer systems design, cryptography and network security. In this second edition proofs of many theorems have been provided, further additions and corrections were made. Read more... ]]>Fri, 16 Feb 2018 17:56:42 GMTGinzburg-Landau Vortices (Modern Birkhauser Classics)
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This book is concerned with the study in two dimensions of stationary solutions of u of a complex valued Ginzburg-Landau equation involving a small parameter . Such problems are related to questions occurring in physics, e.g., phase transition phenomena in superconductors and superfluids. The parameter has a dimension of a length which is usually small. Thus, it is of great t to study the asymptotics as tends to zero.
One of the main results asserts that the limit u-star of minimizers u exists. Moreover, u-star is smooth except at a finite number of points called defects or vortices in physics. The number of these defects is exactly the Brouwer degree or winding number of the boundary condition. Each singularity has degree one or as physicists would say, vortices are quantized.
The material presented in this book covers mostly original results by the authors. It assumes a moderate knowledge of nonlinear functional analysis, partial differential equations, and complex functions. This book is designed for researchers and graduate students alike, and can be used as a one-semester text. The present softcover reprint is designed to make this classic text available to a wider audience. Read more... ]]>Fri, 16 Feb 2018 17:54:08 GMTNumerical Geometry of Non-Rigid Shapes (Monographs in Computer Science)
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Deformable objects are ubiquitous in the world surrounding us, on all levels from micro to macro. The need to study such shapes and model their behavior arises in a wide spectrum of applications, ranging from medicine to security. Read more... ]]>Fri, 16 Feb 2018 17:41:37 GMTErgodic Optimization in the Expanding Case: Concepts, Tools and Applications (SpringerBriefs in Mathematics)
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This book focuses on the interpretation of ergodic optimal problems as questions of variational dynamics, employing a comparable approach to that of the Aubry-Mather theory for Lagrangian systems. Ergodic optimization is primarily concerned with the study of optimizing probability measures. This work presents and discusses the fundamental concepts of the theory, including the use and relevance of Sub-actions as analogues to subsolutions of the Hamilton-Jacobi equation. Further, it provides evidence for the impressively broad applicability of the tools inspired by the weak KAM theory. Read more... ]]>Fri, 16 Feb 2018 17:40:26 GMTWie man einen Schokoladendieb entlarvt: ... und andere mathematische Zaubertricks (German Edition) [German]
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Dieses Buch fhrt anhand erstaunlicher Zaubertricks und komischer Clownerien zwanglos in die Welt der Logik und der Mathematik ein. Zahlen und Rume werden dabei zu einer faszinierenden Welt des Zauberns, Flunkerns und Lachens. Denn, auch wenn man es kaum glaubt: Mathematik ist reif fr die Bhne und bezaubernd schn. Wie kommt man endlich diesem hinterhltigen Schokoladendieb auf die Schliche? Wie finden Mnche mit Schweigegelbde heraus, wer von ihnen krank ist? Und gibt es wirklich einen Trick, um seine Herzdame zu finden? Dieses Buch enthlt liebevoll gestaltete, detaillierte Anleitungen zum gemeinsamen Tfteln und zur Lsung derartiger Rtsel ideal fr Eltern, Groeltern, Lehrer und Kinder. Read more... ]]>Fri, 16 Feb 2018 13:48:28 GMTIntroduction to Projective Geometry (Dover Books on Mathematics)
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This lucid introductory text offers both an analytic and an axiomatic approach to plane projective geometry. The analytic treatment builds and expands upon students' familiarity with elementary plane analytic geometry and provides a well-motivated approach to projective geometry. Subsequent chapters explore Euclidean and non-Euclidean geometry as specializations of the projective plane, revealing the existence of an infinite number of geometries, each Euclidean in nature but characterized by a different set of distance- and angle-measurement formulas. Outstanding pedagogical features include worked-through examples, introductions and summaries for each topic, and numerous theorems, proofs, and exercises that reinforce each chapter's precepts. Two helpful indexes conclude the text, along with answers to all odd-numbered exercises. In addition to its value to undergraduate students of mathematics, computer science, and secondary mathematics education, this volume provides an excellent reference for computer science professionals. Read more... ]]>Fri, 16 Feb 2018 12:42:57 GMTEdexcel AS and A level Further Mathematics Further Pure Mathematics 1 Textbook + e-book (A level Maths and Further Maths 2017)
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Exam Board: EdexcelLevel: AS and A levelSubject: Further MathematicsFirst teaching: September 2017First exams: Summer 2018 With over 1.3 million copies sold of the previous edition, Pearson's textbooks are the market-leading and most trusted resources for AS and A level Further Mathematics. This book covers all the content needed for the optional Edexcel AS and A level Further Pure Mathematics 1 exams.Fully updated to match the 2017 specifications, with more of a focus on problem-solving and modelling. FREE additional online content to support your independent learning, including full worked solutions for every question in the book (SolutionBank) and GeoGebra interactives. Includes access to an online digital edition (valid for 3 years once activated). Includes worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises. Read more... ]]>Fri, 16 Feb 2018 08:03:28 GMTThe Penguin Dictionary of Curious and Interesting Numbers
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Product Description: First published in 1986, this mind-boggling and entertaining dictionary, arranged in order of magnitude, exposes the fascinating facts about certain numbers and number sequences - very large primes, amicable numbers and golden squares to give but a few examples. Read more... ]]>Fri, 16 Feb 2018 07:50:55 GMTRiemann Surfaces (Princeton Mathematical Series)
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The theory of Riemann surfaces has a geometric and an analytic part. The former deals with the axiomatic definition of a Riemann surface, methods of construction, topological equivalence, and conformal mappings of one Riemann surface on another. The analytic part is concerned with the existence and properties of functions that have a special character connected with the conformal structure, for instance: subharmonic, harmonic, and analytic functions.
Originally published in 1960. Read more... ]]>Fri, 16 Feb 2018 06:43:38 GMTOperational Research: IO2017, Valenca, Portugal, June 28-30 (Springer Proceedings in Mathematics <![CDATA[&]]> Statistics)
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This proceedings book presents selected contributions from the XVIII Congress of APDIO (the Portuguese Association of Operational Research) held in Valena on June 2830, 2017. Prepared by leading Portuguese and international researchers in the field of operations research, it covers a wide range of complex real-world applications of operations research methods using recent theoretical techniques, in order to narrow the gap between academic research and practical applications.
Of particular interest are the applications of, nonlinear and mixed-integer programming, data envelopment analysis, clustering techniques, hybrid heuristics, supply chain management, and lot sizing and job scheduling problems. In most chapters, the problems, methods and methodologies described are complemented by supporting figures, tables and algorithms.
The XVIII Congress of APDIO marked the 18th installment of the regular biannual meetings of APDIO the Portuguese Association of Operational Research. The meetings bring together researchers, scholars and practitioners, as well as MSc and PhD students, working in the field of operations research to present and discuss their latest works. The main theme of the latest meeting was Operational Research Pro Bono. Given the breadth of topics covered, the book offers a valuable resource for all researchers, students and practitioners interested in the latest trends in this field.
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At the intersection of mathematics, engineering, and computer science sits the thriving field of compressive sensing. Based on the premise that data acquisition and compression can be performed simultaneously, compressive sensing finds applications in imaging, signal processing, and many other domains. In the areas of applied mathematics, electrical engineering, and theoretical computer science, an explosion of research activity has already followed the theoretical results that highlighted the efficiency of the basic principles. The elegant ideas behind these principles are also of independent t to pure mathematicians.
A Mathematical Introduction to Compressive Sensing gives a detailed account of the core theory upon which the field is build. With only moderate prerequisites, it is an excellent textbook for graduate courses in mathematics, engineering, and computer science. It also serves as a reliable resource for practitioners and researchers in these disciplines who want to acquire a careful understanding of the subject. A Mathematical Introduction to Compressive Sensing uses a mathematical perspective to present the core of the theory underlying compressive sensing.
Kindly Support AvaxGenius And Buy Premium From My Links To Continue Post More Amazing Posts Thanks All Read more... ]]>Fri, 16 Feb 2018 03:59:42 GMTProjektive Geometrie der Ebene: Ein klassischer Zugang mit interaktiver Visualisierung (Masterclass) (German Edition) [German]
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Dieses Buch bietet eine Einfhrung in die projektive Geometrie, wobei algebraische Details auf ein fr die Beweise ntiges Minimum beschrnkt werden. Um die Sachverhalte noch zeichnerisch darstellen zu knnen, konzentrieren wir uns auf die reelle projektive Ebene. Zentrales Thema sind Kegelschnitte und ihre Beziehungen hier zeigt sich die durch den projektiven Zugang erreichbare Klarheit besonders deutlich. Wir werden Geometrie betreiben, ohne zu messen. Auch wollen wir verstehen, inwiefern die euklidische Ebene also unsere bliche geometrische Vorstellungswelt - ein singulrer Grenzfall ist und wie uns das helfen kann, geometrische Sachverhalte zu verstehen. Read more... ]]>Thu, 15 Feb 2018 20:25:58 GMTEdexcel AS and A level Further Mathematics Core Pure Mathematics Book 1/AS Textbook + e-book (A level Maths and Further Maths 2017)
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With over 1.3 million copies sold of the previous edition, Pearsons textbooks are the market-leading and trusted resources for AS and A level Mathematics.
Fully updated to match the new specifications, with more of a focus on problem- solving and modelling as well as supporting the large data set and new calculators.
FREE additional online content to support independent learning, including full worked solutions for every question in the book (SolutionBank), GeoGebra interactives and support for the new calculators.
Includes access to an online digital edition (valid for 3 years once activated).
Includes worked examples with guidance, lots of exam-style questions, practice papers, and plenty of mixed and review exercises.
This book covers all the content needed for the compulsory Edexcel AS level Further Core Pure Mathematics exam. It can also be used alongside Book 2 to cover all the content needed for the compulsory Edexcel A level Further Core Pure Mathematics exams. Read more... ]]>Thu, 15 Feb 2018 20:19:53 GMTTheory of Random Sets (Probability Theory and Stochastic Modelling)
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This monograph, now in a thoroughly revised second edition, offers the latest research on random sets. It has been extended to include substantial developments achieved since 2005, some of them motivated by applications of random sets to econometrics and finance.
The present volume builds on the foundations laid by Matheron and others, including the vast advances in stochastic geometry, probability theory, set-valued analysis, and statistical inference. It shows the various interdisciplinary relationships of random set theory within other parts of mathematics, and at the same time fixes terminology and notation that often vary in the literature, establishing it as a natural part of modern probability theory and providing a platform for future development. It is completely self-contained, systematic and exhaustive, with the full proofs that are necessary to gain insight.
Aimed at research level, Theory of Random Sets will be an invaluable reference for probabilists mathematicians working in convex and integral geometry, set-valued analysis, capacity and potential theory mathematical statisticians in spatial statistics and uncertainty quantification specialists in mathematical economics, econometrics, decision theory, and mathematical finance and electronic and electrical engineers interested in image analysis. Read more... ]]>Thu, 15 Feb 2018 15:59:58 GMTDiscrete Mathematics (8th Edition)
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For one- or two-term introductory courses in discrete mathematics.
An accessible introduction to the topics of discrete math, this best-selling text also works to expand students’ mathematical maturity.
With nearly 4,500 exercises, Discrete Mathematics provides ample opportunities for students to practice, apply, and demonstrate conceptual understanding. Exercise sets features a large number of applications, especially applications to computer science. The almost 650 worked examples provide ready reference for students as they work. A strong emphasis on the interplay among the various topics serves to reinforce understanding. The text models various problem-solving techniques in detail, then provides opportunity to practice these techniques. The text also builds mathematical maturity by emphasizing how to read and write proofs. Many proofs are illustrated with annotated figures and/or motivated by special Discussion sections. The side margins of the text now include “tiny URLs” that direct students to relevant applications, extensions, and computer programs on the textbook website. Read more... ]]>Thu, 15 Feb 2018 09:11:58 GMTNumerical Methods for Solving Partial Differential Equations: A Comprehensive Introduction for Scientists and Engineers
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A comprehensive guide to numerical methods for simulating physical-chemical systems
This book offers a systematic, highly accessible presentation of numerical methods used to simulate the behavior of physical-chemical systems. Unlike most books on the subject, it focuses on methodology rather than specific applications. Written for students and professionals across an array of scientific and engineering disciplines and with varying levels of experience with applied mathematics, it provides comprehensive descriptions of numerical methods without requiring an advanced mathematical background.
Based on its authors more than forty years of experience teaching numerical methods to engineering students, Numerical Methods for Solving Partial Differential Equations presents the fundamentals of all of the commonly used numerical methods for solving differential equations at a level appropriate for advanced undergraduates and first-year graduate students in science and engineering. Throughout, elementary examples show how numerical methods are used to solve generic versions of equations that arise in many scientific and engineering disciplines. In writing it, the author took pains to ensure that no assumptions were made about the background discipline of the reader.
Covers the spectrum of numerical methods that are used to simulate the behavior of physical-chemical systems that occur in science and engineering
Written by a professor of engineering with more than forty years o Read more... ]]>Thu, 15 Feb 2018 06:45:10 GMTUnterrichtsentwurfe Mathematik Sekundarstufe I (Mathematik Primarstufe und Sekundarstufe I + II) (German Edition) [German]
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Dieses Buch bietet
- Studierenden insbesondere in Praxisphasen und bei Praktika
- Studienreferendaren/Lehramtsanwrtern whrend Ihrer Ausbildung sowie
- praktizierenden Lehrkrften, die nach neuen Ideen fr Ihren tglichen Unterricht suchen
vielseitige, innovative und dennoch praktikable Anregungen fr die Planung und Realisierung ihres Mathematikunterrichts in der Sekundarstufe einschlielich reichhaltiger Arbeitsmaterialien.
Die theoretischen Grundlagen zu den Prinzipien des heutigen Mathematikunterrichts sowie zur Planung und Gestaltung von Unterricht im ersten Teil dieses Bandes erfahren eine praktische Umsetzung durch 33 authentische, sorgfltig ausgesuchte Unterrichtsentwrfe, die das Herzstck dieses Buches bilden. Die Spannweite reicht hierbei von Unterrichtsentwrfen fr Examenslehrproben (12 Entwrfe) ber normale Entwrfe bis hin zu zweiseitigen Stundenkurzentwrfen.
Die Unterrichtsentwrfe spiegeln die aktuellen Anforderungen und Zielsetzungen des Mathematikunterrichts der Sekundarstufe gut wider. Sie decken nmlich weitestgehend die prozessbezogenen und inhaltsbezogenen mathematischen Kompetenzen/Leitideen der neuesten Kernlehrplne/Bildungsstandards ab. Ferner lassen sich die Planungen relativ leicht auf viele andere Unterrichtsstunden bertragen.
Das Buch basiert auf einer engen Zusammenarbeit der Ersten Phase (Universitt Bielefeld) und der Zweiten Phase der Lehrerausbildung (Studienseminare Dresden, Hameln, Kln, Leer, Mnster, Oldenburg , Recklinghausen) . Read more... ]]>Thu, 15 Feb 2018 04:54:24 GMTIntuitive Introductory Statistics (Springer Texts in Statistics)
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This textbook is designed to give an engaging introduction to statistics and the art of data analysis. The unique scope includes, but also goes beyond, classical methodology associated with the normal distribution. What if the normal model is not valid for a particular data set? This cutting-edge approach provides the alternatives. It is an introduction to the world and possibilities of statistics that uses exercises, computer analyses, and simulations throughout the core lessons. These elementary statistical methods are intuitive. Counting and ranking features prominently in the text. Nonparametric methods, for instance, are often based on counts and ranks and are very easy to integrate into an introductory course. The ease of computation with advanced calculators and statistical software, both of which factor into this text, allows important techniques to be introduced earlier in the study of statistics. This book's novel scope also includes measuring symmetry with Walsh averages, finding a nonparametric regression line, jackknifing, and bootstrapping. Concepts and techniques are explored through practical problems. Quantitative reasoning is at the core of so many professions and academic disciplines, and this book opens the door to the most modern possibilities. Read more... ]]>Wed, 14 Feb 2018 20:59:24 GMTFunctional Analysis, Spectral Theory, and Applications (Graduate Texts in Mathematics)
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This textbook provides a careful treatment of functional analysis and some of its applications in analysis, number theory, and ergodic theory.
In addition to discussing core material in functional analysis, the authors cover more recent and advanced topics, including Weyls law for eigenfunctions of the Laplace operator, amenability and property (T), the measurable functional calculus, spectral theory for unbounded operators, and an account of Taos approach to the prime number theorem using Banach algebras. The book further contains numerous examples and exercises, making it suitable for both lecture courses and self-study.
Functional Analysis, Spectral Theory, and Applications is aimed at postgraduate and advanced undergraduate students with some background in analysis and algebra, but will also appeal to everyone with an interest in seeing how functional analysis can be applied to other parts of mathematics. Read more... ]]>Wed, 14 Feb 2018 20:48:40 GMTAdvanced Modelling in Mathematical Finance: In Honour of Ernst Eberlein (Springer Proceedings in Mathematics <![CDATA[&]]> Statistics)
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This Festschrift resulted from a workshop on Advanced Modelling in Mathematical Finance held in honour of Ernst Eberleins 70th birthday, from 20 to 22 May 2015 in Kiel, Germany. It includes contributions by several invited speakers at the workshop, including several of Ernst Eberleins long-standing collaborators and former students.
Advanced mathematical techniques play an ever-increasing role in modern quantitative finance. Written by leading experts from academia and financial practice, this book offers state-of-the-art papers on the application of jump processes in mathematical finance, on term-structure modelling, and on statistical aspects of financial modelling. It is aimed at graduate students and researchers interested in mathematical finance, as well as practitioners wishing to learn about the latest developments. Read more... ]]>Wed, 14 Feb 2018 20:11:04 GMT1: Engineering Mathematics I: Electromagnetics, Fluid Mechanics, Material Physics and Financial Engineering (Springer Proceedings in Mathematics <![CDATA[&]]> Statistics)
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This book highlights the latest advances in engineering mathematics with a main focus on the mathematical models, structures, concepts, problems and computational methods and algorithms most relevant for applications in modern technologies and engineering. In particular, it features mathematical methods and models of applied analysis, probability theory, differential equations, tensor analysis and computational modelling used in applications to important problems concerning electromagnetics, antenna technologies, fluid dynamics, material and continuum physics and financial engineering. Read more... ]]>Wed, 14 Feb 2018 20:09:40 GMTApplied Analysis in Biological and Physical Sciences: ICMBAA, Aligarh, India, June 2015 (Springer Proceedings in Mathematics <![CDATA[&]]> Statistics)
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The book contains recent developments and contemporary research in mathematical analysis and in its application to problems arising from the biological and physical sciences. The book is of interest to readers who wish to learn of new research in such topics as linear and nonlinear analysis, mathematical biology and ecology, dynamical systems, graph theory, variational analysis and inequalities, functional analysis, differential and difference equations, partial differential equations, approximation theory, and chaos. Read more... ]]>Wed, 14 Feb 2018 20:07:13 GMTExtended Abstracts Spring 2015: Interactions between Representation Theory, Algebraic Topology and Commutative Algebra (Trends in Mathematics)
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This book includes 33 expanded abstracts of selected talks given at the two workshops "Homological Bonds Between Commutative Algebra and Representation Theory" and "Brave New Algebra: Opening Perspectives," and the conference "Opening Perspectives in Algebra, Representations, and Topology," held at the Centre de Recerca Matemtica (CRM) in Barcelona between January and June 2015. These activities were part of the one-semester intensive research program "Interactions Between Representation Theory, Algebraic Topology and Commutative Algebra (IRTATCA)." Read more... ]]>Wed, 14 Feb 2018 20:05:56 GMTHistoriography of Mathematics in the 19th and 20th Centuries (Trends in the History of Science)
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This book addresses the historiography of mathematics as it was practiced during the 19th and 20th centuries by paying special attention to the cultural contexts in which the history of mathematics was written.
In the 19th century, the history of mathematics was recorded by a diverse range of people trained in various fields and driven by different motivations and aims. These backgrounds often shaped not only their writing on the history of mathematics, but, in some instances, were also influential in their subsequent reception.
During the period from roughly 1880-1940, mathematics modernized in important ways, with regard to its content, its conditions for cultivation, and its identity and the writing of the history of mathematics played into the last part in particular.
Parallel to the modernization of mathematics, the history of mathematics gradually evolved into a field of research with its own journals, societies and academic positions. Reflecting both Read more... ]]>Wed, 14 Feb 2018 19:58:13 GMTA Course in BE-algebras
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This book presents a unified course in BE-algebras with a comprehensive introduction, general theoretical basis and several examples.
It introduces the general theoretical basis of BE-algebras, adopting a credible style to offer students a conceptual understanding of the subject. BE-algebras are important tools for certain investigations in algebraic logic, because they can be considered as fragments of any propositional logic containing a logical connective implication and the constant "1", which is considered as the logical value true. Primarily aimed at graduate and postgraduate students of mathematics, it also helps researchers and mathematicians to build a strong foundation in applied abstract algebra. Presenting insights into some of the abstract thinking that constitutes modern abstract algebra, it provides a transition from elementary topics to advanced topics in BE-algebras. With abundant examples and exercises arranged after each section, it offers readers a comprehensive, easy-to-follow introduction to this field.
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This second volume of Analysis in Banach Spaces, Probabilistic Methods and Operator Theory, is the successor to Volume I, Martingales and Littlewood-Paley Theory. It presents a thorough study of the fundamental randomisation techniques and the operator-theoretic aspects of the theory.
The first two chapters address the relevant classical background from the theory of Banach spaces, including notions like type, cotype, K-convexity and contraction principles. In turn, the next two chapters provide a detailed treatment of the theory of R-boundedness and Banach space valued square functions developed over the last 20 years. In the last chapter, this content is applied to develop the holomorphic functional calculus of sectorial and bi-sectorial operators in Banach spaces. Given its breadth of coverage, this book will be an invaluable reference to graduate students and researchers interested in functional analysis, harmonic analysis, spectral theory, stochastic analysis, and the operator-theoretic approach to deterministic and stochastic evolution equations.
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This book highlights the remarkable importance of special functions, operational calculus, and variational methods. A considerable portion of the book is dedicated to second-order partial differential equations, as they offer mathematical models of various phenomena in physics and engineering.
The book provides students and researchers with essential help on key mathematical topics, which are applied to a range of practical problems. These topics were chosen because, after teaching university courses for many years, the authors have found them to be essential, especially in the contexts of technology, engineering and economics. Given the diversity topics included in the book, the presentation of each is limited to the basic notions and results of the respective mathematical domain. Chapter 1 is devoted to complex functions. Here, much emphasis is placed on the theory of holomorphic functions, which facilitate the understanding of the role that the theory of functions of a complex variable plays in mathematical physics, especially in the modeling of plane problems.
In addition, the book demonstrates the importance of the theories of special functions, operational calculus, and variational calculus. In the last chapter, the authors discuss the basic elements of one of the most modern areas of mathematics, namely the theory of optimal control.
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3642444601 When a new extraordinary and outstanding theory is stated, it has to face criticism and skeptism, because it is beyond the usual concept. The fractional calculus though not new, was not discussed or developed for a long time, particularly for lack of its application to real life problems. It is extraordinary because it does not deal with 'ordinary' differential calculus. It is outstanding because it can now be applied to situations where existing theories fail to give satisfactory results. In this book not only mathematical abstractions are discussed in a lucid manner, with physical mathematical and geometrical explanations, but also several practical applications are given particularly for system identification, description and then efficient controls.
The normal physical laws like, transport theory, electrodynamics, equation of motions, elasticity, viscosity, and several others of are based on 'ordinary' calculus. In this book these physical laws are generalized in fractional calculus contexts taking, heterogeneity effect in transport background, the space having traps or islands, irregular distribution of charges, non-ideal spring with mass connected to a pointless-mass ball, material behaving with viscous as well as elastic properties, system relaxation with and without memory, physics of random delay in computer network and several others mapping the reality of nature closely. The concept of fractional and complex order differentiation and integration Read more... ]]>Wed, 14 Feb 2018 09:14:08 GMTHenri Poincare: Impatient Genius
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3642205445 1489999140 The book describes the life of Henri Poincare, his work style and in detail most of his unique achievements in mathematics and physics. Apart from biographical details, attention is given to Poincare's contributions to automorphic functions, differential equations and dynamical systems, celestial mechanics, mathematical physics in particular the theory of the electron and relativity, topology (analysis situs). A chapter on philosophy explains Poincare's conventionalism in mathematics and his view of conventionalism in physics the latter has a very different character. In the foundations of mathematics his position is between intuitionism and axiomatics.
One of the purposes of the book is to show how Poincare reached his fundamentally new results in many different fields, how he thought and how one should read him. One of the new aspects is the description of two large fields of his attention: dynamical systems as presented in his book on `new methods for celestial mechanics' and his theoretical physics papers. At the same time it will be made clear how analysis and geometry are intertwined in Poincare's thinking and work.In dynamical systems this becomes clear in his description of invariant manifolds, his association of differential equation flow with mappings and his fixed points theory.
There is no comparable book on Poincare, presenting such a relatively complete vision of his life and achievements. There exist some older biographies in the Read more... ]]>Wed, 14 Feb 2018 09:03:10 GMT