Mathematics
Analysis General


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Applied Nonstandard Analysis
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Applied Nonstandard Analysis
by Martin Davis

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Geared toward upper-level undergraduates and graduate students, this text assumes no knowledge of mathematical logic; it develops the key techniques of nonstandard analysis at the outset from a single, powerful construction. Then, beginning with a...
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Differential Analysis on Complex Man 3RD Edition
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Differential Analysis on Complex Man 3RD Edition
by Raymond O Wells

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In developing the tools necessary for the study of complex manifolds, this comprehensive, well-organized treatment presents in its opening chapters a detailed survey of recent progress in four areas: geometry (manifolds with vector bundles), algebraic...
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A First Course in Fourier Analysis
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A First Course in Fourier Analysis
by David W. Kammler

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This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of...
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Spinors & Space Time Volume 1 Two Spinor Cal
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Spinors & Space Time Volume 1 Two Spinor Cal
by Roger Penrose

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Includes bibliographical references (p. 435-443) and indexes....
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A Second Course in Complex Analysis
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A Second Course in Complex Analysis
by William A. Veech

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A clear, self-contained treatment of important areas in complex analysis, this text is geared toward upper-level undergraduates and graduate students. Chiefly classical in content, it emphasizes the geometry of complex mappings. Additional topics include...
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First Course in Calculus 5TH Edition
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First Course in Calculus 5TH Edition
by Serge Lang

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This is the fifth edition of Lang's caclulus book. It covers all of the topics traditionally taught in the first-year calculus sequence. The book consists of five parts: Review of Basic Material, Differention and Elementary Functions, Integration, Taylor'...
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A First Course in Numerical Analysis 2ND Edition
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A First Course in Numerical Analysis 2ND Edition
by Anthony Ralston

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Outstanding text treats numerical analysis with mathematical rigor, but relatively few theorems and proofs. Oriented toward computer solutions of problems, it stresses errors in methods and computational efficiency. Problems — some strictly...
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Encyclopedia of Mathematics and Its Applications #104: Dynamic Data Assimilation: A Least Squares Approach
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Encyclopedia of Mathematics and Its Applications #104: Dynamic Data Assimilation: A Least Squares Approach
by John M. Lewis

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Dynamic data assimilation is the assessment, combination and synthesis of observational data, scientific laws and mathematical models to make predictions about how a complex physical system will behave. This book is designed to be a basic one-stop...
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Functions of One Complex Variable II (95 Edition)
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Functions of One Complex Variable II (95 Edition)
by John B. Conway

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This book discusses a variety of problems which are usually treated in a second course on the theory of functions of one complex variable. It treats several topics in geometric function theory as well as potential theory in the plane. In particular it...
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Solutions Manual for Langs Linear Algebra
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Solutions Manual for Langs Linear Algebra
by R. Shakarchi

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This solutions manual for Lang's Undergraduate Analysis provides worked-out solutions for all problems in the text. They include enough detail so that a student can fill in the intervening details between any pair of steps. It will be an invaluable aid...
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Real Analysis
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Real Analysis
by N L Carothers

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This course in real analysis is directed at advanced undergraduates and beginning graduate students in mathematics and related fields. Presupposing only a modest background in real analysis or advanced calculus, the book offers something of value to...
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Mathematical Analysis: Functions of One Variable
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Mathematical Analysis: Functions of One Variable
by Mariano Giaquinta

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This self-contained work in mathematical analysis introduces the main ideas and fundamental methods of the subject, focusing on a simple and direct exposition of differential and integral calculus for functions of one variable with some of its...
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
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Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
by John Guckenheimer and Philip Holmes

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From the reviews: "This book is concerned with the application of methods from dynamical systems and bifurcation theories to the study of nonlinear oscillations. Chapter 1 provides a review of basic results in the theory of dynamical systems, covering...
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Boundary Elements
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Boundary Elements
by J. T. Katsikadelis

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The author's ambition for this publication was to make BEM accessible to the student as well as to the professional engineer. For this reason, his main task was to organize and present the material in such a way so that the book becomes "user...
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Advanced Calculus 2ND Edition
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Advanced Calculus 2ND Edition
by Patrick Fitzpatrick

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ADVANCED CALCULUS rigorously presents the fundamental concepts of mathematical analysis in the clearest, simplest way, within the context of illuminating examples and stimulating exercises. Emphasizing the unity of the subject, the text shows that...
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Yet Another Introduction to Analysis
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Yet Another Introduction to Analysis
by Victor Bryant

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'In this book the author steers a simple and well-motivated path through the central ideas of real analysis.'...
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Modern Graph Theory (Graduate Texts in Mathematics Series) (98 Edition)
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Modern Graph Theory (Graduate Texts in Mathematics Series) (98 Edition)
by Bela Bollobas

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The time has now come when graph theory should be part of the education of every serious student of mathematics and computer science, both for its own sake and to enhance the appreciation of mathematics as a whole. This book is an in-depth account of...
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The Fourier Transform & Its Applications (McGraw-Hill Series in Electrical and Computer Engineering)
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The Fourier Transform & Its Applications (McGraw-Hill Series in Electrical and Computer Engineering)
by Ronald Bracewell

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This text is designed for use in a senior undergraduate or graduate level course in Fourier Transforms. This text differs from many other fourier transform books in its emphasis on applications. Bracewell applies mathematical concepts to the physical...
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Differential Equations & Dynamical 3RD Edition
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Differential Equations & Dynamical 3RD Edition
by Lawrence Perko

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This textbook presents a systematic study of the qualitative and geometric theory of nonlinear differential equations and dynamical systems. Although the main topic of the book is the local and global behavior of nonlinear systems and their bifurcations,...
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Course in Mathematical Analysis Volume 1
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Course in Mathematical Analysis Volume 1
by Edouard Goursat

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Classic three-volume study. Volume 1 covers applications to geometry, expansion in series, definite integrals, and derivatives and differentials. Volume 2 explores functions of a complex variable and differential equations. Volume 3 surveys...
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