KKM Theory and Applications in Nonlinear Analysis

George Xian-Zhi Yuan “KKM Theory and Applications in Nonlinear Analysis " CRC 1999-02-09 ISBN:0824700317 PDF 648 pages 25,6 Mb This reference provides a lucid introduction to the principles and applications of Knaster-Kuratowski-Mazurkiewicz (KKM) theory and explores related topics in nonlinear set-valued analysis..
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Aspects of Mathematical Finance

M. Yor, P. Barrieu, N. El Karoui, H. Föllmer, H. Geman, E. Gobet, D. Lamberton, G. Pagès, W. Schachermayer, Marc Yor, K. Qechar“Aspects of Mathematical Finance " Springer 2008-03 ISBN:3540752587 PDF 80 pages 1,1 Mb Considering the stupendous gain in importance, in the banking and insurance industries since the early 1990s, of mathematical methodology, especially probabilistic methodology, it was a very natural idea for the French "Académie des Sciences" to propose a series of public lectures, accessible to an educated audience, to promote a wider understanding for some of the fundamental ideas, techniques and new tools of the financial industries.These lectures were given at the "Académie des Sciences" in Paris by internationally renowned experts in mathematical finance, and later written up for this volume which develops, in simple yet rigorous terms, some challenging topics such as risk measures, the notion of arbitrage, dynamic models involving fundamental stochastic processes like Brownian motion and Lévy processes.The Ariadnes thread leads the reader from Louis Bacheliers thesis 1900 to the famous Black-Scholes formula of 1973 and to most recent work close to Malliavins stochastic calculus of variations. The book also features a description of the trainings of French financial analysts which will help them to become experts in these fast evolving mathematical techniques.
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Handbook of Statistics 13: Design and Analysis of Experiments

S. Ghosh “Handbook of Statistics 13: Design and Analysis of Experiments " Elsevier Science Publishing Company 1996-11-01 ISBN:0444820612 PDF 1248 pages 58,1 Mb Hardbound. The purpose of this volume of the Handbook of Statistics is to provide the reader with the state-of-the-art of statistical design and methods of analysis that are available, as well as the frontiers of research activities in developing new and better methods for performing such tasks. Scientific experiments in medicine, industry, agriculture, computer and many other disciplines are covered. Statistical methods like parametric, semiparametric, nonparametric, adaptive, univariate, multivariate, frequentist and Bayesian, are discussed. Block, row-column, nested, factorial, response surface, spatial, robust, optimum, search, singlestage, multistage, exact and approximate designs are presented. The chapters are written in expository style and will be of value to students, researchers, consultants and practitioners in universities as well as industries.
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Schaum's Outline of Review of Elementary Mathematics

Barnett Rich, Philip Schmidt, "Schaum's Outline of Review of Elementary Mathematics"McGraw-Hill ISBN 0070522790 1997-03-01 288 Pages PDF 10.8 MbFollowing the successful model of the prior edition, which sold over 119,000 copies, this book assumes no prior knowledge of mathematics and makes accessible all of elementary math, including the basics of algebra and geometry. It features up-to-date terminology plus added explanations of how to make calculations both with and without a calculator. Thousands of questions, with fully worked out solutions or delayed answers, help students learn how to solve the kinds of problems commonly encountered on exams and in real life.
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Fixed Points

V. V. Prasolov “Fixed Points " American Mathematical Society 1991-11 ISBN: 082189000X Djvu 75 pages 1,2 Mb The theory of fixed points finds its roots in the work of Poincaré, Brouwer, and Sperner and makes extensive use of such topological notions as continuity, compactness, homotopy, and the degree of a mapping. Fixed point theorems have numerous applications in mathematics; most of the theorems ensuring the existence of solutions for differential, integral, operator, or other equations can be reduced to fixed point theorems. In addition, these theorems are used in such areas as mathematical economics and game theory. This book presents a readable exposition of fixed point theory. The author focuses on the problem of whether a closed interval, square, disk, or sphere has the fixed point property. Another aim of the book is to show how fixed point theory uses combinatorial ideas related to decomposition (triangulation) of figures into distinct parts called faces (simplexes), which adjoin each other in a regular fashion. All necessary background concepts---such as continuity, compactness, degree of a map, and so on---are explained, making the book accessible even to students at the high school level. In addition, the book contains exercises and descriptions of applications. Readers will appreciate this book for its lucid presentation of this fundamental mathematical topic.
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Geometric Algebra for Computer Graphics

Steffen Lange, Ken Satoh, Carl H. Smith “Geometric Algebra for Computer Graphics" Springer 2008-03-28 ISBN:1846289963 PDF 256 pages 2 Mb Geometric algebra (a Clifford Algebra) has been applied to different branches of physics for a long time but is now being adopted by the computer graphics community and is providing exciting new ways of solving 3D geometric problems. John Vince (author of numerous books including Geometry for Computer Graphics and Vector Analysis for Computer Graphics) has tackled this complex subject in his usual inimitable style, and provided an accessible and very readable introduction. As well as putting geometric algebra into its historical context, John tackles complex numbers and quaternions; the nature of wedge product and geometric product; reflections and rotations (showing how geometric algebra can offer a powerful way of describing orientations of objects and virtual cameras); and how to implement lines, planes, volumes and intersections. Introductory chapters also look at algebraic axioms, vector algebra and geometric conventions and the book closes with a chapter on how the algebra is applied to computer graphics.
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Essays on Numbers and Figures

V. V. Prasolov “Essays on Numbers and Figures" American Mathematical Society 2000-01 ISBN: 0821819445 Djvu 75 pages 1,1 Mb This is the English translation of the book originally published in Russian. It contains 20 essays, each dealing with a separate mathematical topic. The topics range from brilliant mathematical statements with interesting proofs, to simple and effective methods of problem-solving, to interesting properties of polynomials, to exceptional points of the triangle. Many of the topics have a long and interesting history. The author has lectured on them to students worldwide. The essays are independent of one another for the most part, and each presents a vivid mathematical result that led to current research in number theory, geometry, polynomial algebra, or topology.
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Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 5

Michel Chipot “Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 5" Elsevier Science 2008-02-25 ISBN:044453217X 620 pages PDF 2,6 Mb A collection of self contained state-of-the art surveys. The authors have made an effort to achieve readability for mathematicians and scientists from other fields, for this series of handbooks to be a new reference for research, learning and teaching.* Written by well-known experts in the field * Self contained volume in series covering one of the most rapid developing topics in mathematics* Informed and thoroughly updated for students, academics and researchers
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Introduction to C++ Programming and Graphics

Introduction to C++ Programming and GraphicsSpringer; 1 edition ISBN: 0387689923 372 pages June 6, 2007 PDF 2 MbC++ has grown rapidly in response to the practical need for a programming language that is able to efficiently handle composite and diverse data types. Today, C++ dominates the commercial market and is favored among application developers. Introduction to C++ Programming and Graphics offers a venue for rapidly learning the language by concisely revealing its grammar, syntax and main features, and by explaining the key ideas behind object oriented programming (OOP), with emphasis on scientific computing.The book reviews elemental concepts of computers and computing, describes the primary features of C++, illustrates the use of pointers and user-defined functions, and analyzes the construction of classes. Distinctive features include:An effective selection and presentation of topics and supporting examples A tutorial on the usage of MATLAB® functions in C++ code Tables for translating MATLAB® and Fortran 77 into C++ code, illustrating syntactic differences between these languages Chapters on graphics and GUI programming based on the VOGLE library and the GLUT, GLUI and GTK+ utility toolboxes This invaluable resource provides a basic, concise introduction to C++ for the novice, allowing the reader to easily grasp the necessary concepts, rather than trying to absorb an extensive reference book. Scientists, engineers, professionals and students familiar with the general principles of computer programming and proficient in an easy programming language will find this volume an ideal entry point into C++.
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Mathematical Methods in Engineering

K. Tas, J.A. Tenreiro Machado, D. Baleanu “Mathematical Methods in Engineering " Springer 2007-01-19 ISBN:140205677X 470 pages PDF 15,2 Mb This book contains some of the contributions, divided into five main sections, that have been carefully selected and peer-reviewed, which were presented at the International Symposium MME06 Mathematical Methods in Engineering, held in Cankaya University, Ankara, April 2729, 2006.The Symposium provided a setting for discussing recent developments in Fractional Mathematics, Neutrices and Generalized Functions, Boundary Value Problems, Applications of Wavelets, Dynamical Systems and Control Theory.
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Three-dimensional Integration and Modeling (Synthesis Lectures on Computational Electromagnetics)

Three-dimensional Integration and Modeling (Synthesis Lectures on Computational Electromagnetics)Not Avail; 1 edition ISBN: 1598292447 118 pages October 7, 2007 PDF 34 MbThis book presents a compact system-on-package (SOP)-based passive front-end solution for millimeter-wave wireless communication/sensor applications, that consists of fully integrated three dimensional (3D) cavity filters/duplexers and antenna. The presented concept is applied to the design, fabrication and testing of V-band transceiver front-end modules using multilayer low temperature co-fired (LTCC) technology. In this work, various compact and high-performance passive building blocks have been developed in both microstrip and cavity configurations and their integration, enabling a complete passives integration solution for 3D low-cost wireless millimeter-wave front-end modules. It is worthy to note that most of the designs implemented comes away with novel ideas and is presented as the first extensive state-of-art components, entirely validated by measured data at 60 GHz bands.
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Three-dimensional Integration and Modeling (Synthesis Lectures on Computational Electromagnetics)Not Avail; 1 edition ISBN: 1598292447 118 pages October 7, 2007 PDF 34 MbThis book presents a compact system-on-package (SOP)-based passive front-end solution for millimeter-wave wireless communication/sensor applications, that consists of fully integrated three dimensional (3D) cavity filters/duplexers and antenna. The presented concept is applied to the design, fabrication and testing of V-band transceiver front-end modules using multilayer low temperature co-fired (LTCC) technology. In this work, various compact and high-performance passive building blocks have been developed in both microstrip and cavity configurations and their integration, enabling a complete passives integration solution for 3D low-cost wireless millimeter-wave front-end modules. It is worthy to note that most of the designs implemented comes away with novel ideas and is presented as the first extensive state-of-art components, entirely validated by measured data at 60 GHz bands.
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Using Statistical Methods for Water Quality Management : Issues, Problems, and Solutions

Graham B. McBride “Using Statistical Methods for Water Quality Management : Issues, Problems, and Solutions" Wiley-Interscience 2005-04-21 ISBN-10: 0471470163 344 pages PDF 14 Mb A practical exploration of alternative approaches to analyzing water-related environmental issuesWritten by an experienced environmentalist and recognized expert in the field, this text is designed to help water resource managers and scientists to formulate, implement, and interpret more effective methods of water quality management.After presenting the basic foundation for using statistical methods in water resource management, including the use of appropriate hypothesis test procedures and some rapid calculation procedures, the author offers a range of practical problems and solutions on environmental topics that often arise, but are not generally covered.These include:* Formulating water quality standards* Determining compliance with standards* MPNs and microbiology* Water-related, human health risk modeling* Trends, impacts, concordance, and detection limitsIn order to promote awareness of alternative approaches to analyzing data, both frequentist and Bayesian, statistical methods are contrasted in terms of their applicability to various environmental issues. Each chapter ends with a number of set problems for which full answers are provided. The book also encourages discussion between technical staff and management before embarking on statistical studies.
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Supersymmetry for Mathematicians: An Introduction

V. S. Varadarajan “Supersymmetry for Mathematicians: An Introduction " American Mathematical Society 2004-07 ISBN:0821835742 300 pages PDF 1,6 Mb Supersymmetry has been studied by theoretical physicists since the early 1970s. Nowadays, because of its novelty and significance--in both mathematics and physics--the issues it raises attract the interest of mathematicians. Written by the well-known mathematician, V. S. Varadarajan, this book presents a cogent and self-contained exposition of the foundations of supersymmetry for the mathematically-minded reader. It begins with a brief introduction to the physical foundations of the theory, in particular, to the classification of relativistic particles and their wave equations, such as those of Dirac and Weyl. It then continues with the development of the theory of supermanifolds, stressing the analogy with the Grothendieck theory of schemes. Here, Varadarajan develops all the super linear algebra needed for the book and establishes the basic theorems: differential and integral calculus in supermanifolds, Frobenius theorem, foundations of the theory of super Lie groups, and so on. A special feature is the in-depth treatment of the theory of spinors in all dimensions and signatures, which is the basis of all supergeometry developments in both physics and mathematics, especially in quantum field theory and supergravity. The material is suitable for graduate students and mathematicians interested in the mathematical theory of supersymmetry. The book is recommended for independent study. Titles in this series are copublished with the Courant Institute of Mathematical Sciences at New York University.
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Elementary Differential Equations and Boundary Value Problems 7th Edition

William E. Boyce , Richard C. DiPrima“Elementary Differential Equations and Boundary Value Problems 7th Edition +Students Solution Manual" John Wiley & Sons Inc (2001) ASIN:B000J4ZKUM 1310 pages PDF 13,3 Mb This revision of the market-leading book maintains its classic strengths: contemporary approach, flexible chapter construction, clear exposition, and outstanding problems. Like its predecessors, this revision is written from the viewpoint of the applied mathematician, focusing both on the theory and the practical applications of Differential Equations as they apply to engineering and the sciences. Sound and Accurate Exposition of Theory--special attention is made to methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace development of the discipline and identify outstanding individual contributions.
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Computing for Numerical Methods Using Visual C++

Shaharuddin Salleh, Albert Y. Zomaya, Sakhinah A. Bakar " Computing for Numerical Methods Using Visual C++" Wiley-Interscience 2007-12-14 ISBN: 0470127953 448 pages PDF 2,4 Mb Providing a bridge between a problem and its solution through visualization, this book covers the most talked about problems currently available. Presenting a new approach that allows the reader to work by designing C++ programs directly using Windows interface in one book, the text provides ready to run codes. An equation parser in the form of an object file can be linked directly to the codes to provide accuracy and utility to the presentation. These are provided through an FTP location..
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Handbook of Game Theory with Economic Applications Volume 3

R.J. Aumann, S. Hart " Handbook of Game Theory with Economic Applications Volume 3 " North Holland 2002-07-01 ISBN:0444894284 832 pages PDF 42,8 Mb This is the third volume of the Handbook of Game Theory with Economic Applications. Since the publication of multi-Volume 1 a decade ago, game theory has continued to develop at a furious pace, and today it is the dominant tool in economic theory. The three volumes together cover the fundamental theoretical aspects, a wide range of applications to economics, several chapters on applications to political science and individual chapters on applications to disciplines as diverse as evolutionary biology, computer science, law, psychology and ethics. The authors are the most eminent practitioners in the field, including three Nobel Prize winners. The topics covered in the present volume include strategic ("Nash") equilibrium; incomplete information; two-person non-zero-sum games; noncooperative games with a continuum of players; stochastic games; industrial organization; bargaining, inspection; economic history; the Shapley value and its applications to perfectly competitive economies, to taxation, to public goods and to fixed prices; political science; law mechanism design; and game experimentation
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Heights in Diophantine Geometry

Enrico Bombieri, Walter Gubler "Heights in Diophantine Geometry" Cambridge University Press 2007-09-24 ISBN:0521712297 655 pages PDF 3,7 Mb Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern approach via arithmetic geometry. The authors provide a clear path through the subject for graduate students and researchers. They have re-examined many results and much of the literature, and provide a thorough account of several topics at a level not seen before in book form. The treatment is largely self-contained, with proofs given in full detail.
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JSerge Lang “Undergraduate Analysis"

JSerge Lang “Undergraduate Analysis" Springer 2005-06-28 ISBN:0387948414 668 pages Djvu 8,4 Mb This is a logically self-contained introduction to analysis, suitable for students who have had two years of calculus. The book centers around those properties that have to do with uniform convergence and uniform limits in the context of differentiation and integration. Topics discussed include the classical test for convergence of series, Fourier series, polynomial approximation, the Poisson kernel, the construction of harmonic functions on the disc, ordinary differential equation, curve integrals, derivatives in vector spaces, multiple integrals, and others. One of the author's main concerns is to achieve a balance between concrete examples and general theorems, augmented by a variety of interesting exercises. Some new material has been added in this second edition, for example: a new chapter on the global version of integration of locally integrable vector fields; a brief discussion of L1-Cauchy sequences, introducing students to the Lebesgue integral; more material on Dirac sequences and families, including a section on the heat kernel; a more systematic discussion of orders of magnitude; and a number of new exercises.
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Gilbert Ames Bliss “Algebraic Functions"

Gilbert Ames Bliss “Algebraic Functions" Dover Publications 2004-03-29 ISBN:048649568X 240 pages PDF 2,6 Mb This text surveys the approaches and basic results of all three classes of algebraic functions. Starting with a treatment of single-valued analytic functions, it introduces algebraic and rational functions and proceeds to the Riemann surface of an algebraic function, integrals of rational functions, and Abel's theorem. 1933 edition
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Dunham Jackson “Fourier Series and Orthogonal Polynomials" Dover Publications 2004-08-11 ISBN:0486438082 256 pages PDF 3,4 Mb This text illustrates the fundamental simplicity of the properties of orthogonal functions and their developments in related series. Begins with a definition and explanation of the elements of Fourier series, and examines Legendre polynomials and Bessel functions. Also includes Pearson frequency functions and chapters on orthogonal, Jacobi, Hermite, and Laguerre polynomials, more. 1941 edition.
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JSerge Lang “Mathematical Statistics" Springer 2007-10-05 ISBN:0387953825 520 pages PDF 4,3 Mb This graduate textbook covers topics in statistical theory essential for graduate students preparing for work on a Ph.D. degree in statistics. The first chapter provides a quick overview of concepts and results in measure-theoretic probability theory that are usefulin statistics. The second chapter introduces some fundamental concepts in statistical decision theory and inference. Chapters 3-7 contain detailed studies on some important topics: unbiased estimation, parametric estimation, nonparametric estimation, hypothesis testing, and confidence sets. A large number of exercises in each chapter provide not only practice problems for students, but also many additional results. In addition to the classical results that are typically covered in a textbook of a similar level, this book introduces some topics in modern statistical theory that have been developed in recent years, such as Markov chain Monte Carlo, quasi-likelihoods, empirical likelihoods, statistical functionals, generalized estimation equations, the jackknife, and the bootstrap. Jun Shao is Professor of Statistics at the University of Wisconsin, Madison.
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