NORO*ELGANG عضو خارق
عدد الرسائل : 432 العمر : 26 تاريخ التسجيل : 03/12/2008
 موضوع: مكتبة كتب الرياضيات رقم 1 الثلاثاء ديسمبر 23, 2008 11:33 pm  
 السلام عليكم ورحمة الله وبركاته بسم الله الرحمن الرحيم هذه مجموعة رائعة من كتب الرياضيات ونرحب بأي اضافة جديدة وشكرا لكم Inside Calculus (Undergraduate ****s in Mathematics) By George R. Exner * Publisher: Springer * Number Of Pages: 211 * Publication Date: 19991222 * ISBN / ASIN: 0387989323 Book De******ion: The approach taken by this book is based on two beliefs. The first is that almost nobody understands calculus fully the first time around: multiple exposures are required. The second belief is that graphing calculators can be used to make the introduction of the theory of limits much easier for the students. This book presents the theoretical pieces of introductory calculus, using appropriate technology, in a style suitable to accompany almost any first calculus ****. It offers a large range of increasingly sophisticated examples and problems to build understanding of the notion of limit and other theoretical concepts. It is aimed at students who will study fields in which the understanding of calculus as a tool is not sufficient. The **** uses the "spiral approach" of teaching, returning again and again to difficult topics, anticipating such returns across the calculus courses in preparation for the first analysis course. The book may be used as the "*******" **** for a transition to upper level mathematics course Mihd or Mihd Difference Equations and Inequalities: Theory, Methods, and Applications (Pure and Applied Mathematics) By Ravi P. Agarwal * Publisher: CRC * Number Of Pages: 1000 * Publication Date: 20000127 * ISBN / ASIN: 0824790073 Book De******ion: A study of difference equations and inequalities. This second edition offers realworld examples and uses of difference equations in probability theory, queuing and statistical problems, stochastic time series, combinatorial analysis, number theory, geometry, electrical networks, quanta in radiation, genetics, economics, psychology, sociology, and other disciplines. It features 200 new problems, 400 additional references, and a new chapter on the qualitative properties of solutions of neutral difference equations
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Polynomials and Polynomial Inequalities (Graduate ****s in Mathematics) By Peter Borwein, Tamas Erdelyi, * Publisher: Springer * Number Of Pages: 496 * Publication Date: 19950927 * ISBN / ASIN: 0387945091 Book De******ion: Polynomials pervade mathematics, virtually every branch of mathematics from algebraic number theory and algebraic geometry to applied analysis and computer science, has a corpus of theory arising from polynomials. The material explored in this book primarily concerns polynomials as they arise in analysis; it focuses on polynomials and rational functions of a single variable. The book is selfcontained and assumes at most a seniorundergraduate familiarity with real and complex analysis. After an introduction to the geometry of polynomials and a discussion of refinements of the Fundamental Theorem of Algebra, the book turns to a consideration of various special polynomials. Chebyshev and Descartes systems are then introduced, and Müntz systems and rational systems are examined in detail. Subsequent chapters discuss denseness questions and the inequalities satisfied by polynomials and rational functions. Appendices on algorithms and computational concerns, on the interpolation theorem, and on orthogonality and irrationality conclude the book Mihd Applied Probability By Kenneth Lange * Publisher: Springer * Number Of Pages: 320 * Publication Date: 20041020 * ISBN / ASIN: 0387004254 Book De******ion:
This ****book on applied probability is intended for graduate students in applied mathematics, biostatistics, computational biology, computer science, physics, and statistics. It presupposes knowledge of multivariate calculus, linear algebra, ordinary differential equations, and elementary probability theory. Given these prerequisites, Applied Probability presents a unique blend of theory and applications, with special emphasis on mathematical modeling, computational techniques, and examples from the biological sciences. Chapter 1 reviews elementary probability and provides a brief survey of relevant results from measure theory. Chapter 2 is an extended essay on calculating expectations. Chapter 3 deals with probabilistic applications of convexity, inequalities, and optimization theory. Chapters 4 and 5 touch on combinatorics and combinatorial optimization. Chapters 6 through 11 present core material on stochastic processes. If supplemented with appropriate sections from Chapters 1 and 2, there is sufficient material here for a traditional semesterlong course in stochastic processes covering the basics of Poisson processes, Markov chains, branching processes, martingales, and diffusion processes. Finally, Chapters 12 and 13 develop the ChenStein method of Poisson approximation and connections between probability and number theory. Kenneth Lange is Professor of Biomathematics and Human Genetics and Chair of the Department of Human Genetics at the UCLA School of Medicine. He has held appointments at the University of New Hampshire, MIT, Harvard, and the University of Michigan. While at the University of Michigan, he was the Pharmacia & Upjohn Foundation Professor of Biostatistics. His research interests include human genetics, population modeling, biomedical imaging, computational statistics, and applied stochastic processes. SpringerVerlag published his books Numerical Analysis for Statisticians and Mathematical and Statistical Methods for Genetic Analysis Second Edition, in 1999 and 2002, respectively Mihd Rapidshare
Problems in Algebraic Number Theory (Graduate ****s in Mathematics) By M. Ram Murty, Jody Esmonde, * Publisher: Springer * Number Of Pages: 352 * Publication Date: 20041025 * ISBN / ASIN: 0387221824
Asking how one does mathematical research is like asking how a composer creates a masterpiece. No one really knows. However, it is a recognized fact that problem solving plays an important role in training the mind of a researcher. It would not be an exaggeration to say that the ability to do mathematical research lies essentially asking "wellposed" questions. The approach taken by the authors in Problems in Algebraic Number Theory is based on the principle that questions focus and orient the mind. The book is a collection of about 500 problems in algebraic number theory, systematically arranged to reveal ideas and concepts in the evolution of the subject. While some problems are easy and straightforward, others are more difficult. For this new edition the authors added a chapter and revised several sections. The **** is suitable for a first course in algebraic number theory with minimal supervision by the instructor. The exposition facilitates independent study, and students having taken a basic course in calculus, linear algebra, and abstract algebra will find these problems interesting and challenging. For the same reasons, it is ideal for nonspecialists in acquiring a quick introduction to the subject Mihd Rapidshare
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