Partial Differential Equations: An Introduction (2版)

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Partial Differential Equations: An Introduction 2/e +作者：Strauss +年份：2008 年2 版 +ISBN：9780470054567 +書號：MA0461H +規格：精裝/單色 +頁數：464 +出版商：John Wiley 簡介 Numerous exercises, some easy, some difficult. 目錄 Chapter 1/Where PDEs Come From Chapter 2/Waves and Diffusions Chapter 3/Reflections and Sources Chapter 4/Boundary Problems Chapter 5/Fourier Series Chapter 6/Harmonic Functions Chapter 7/Green’s Identities and Green’s Functions Chapter 8/Computation of Solutions Chapter 9/Waves in Space Chapter 10/Boundaries in the Plane and in Space Chapter 11/General Eigenvalue Problems Chapter 12/Distributions and Transforms Chapter 13/PDE Problems from Physics Chapter 14/Nonlinear PDEs Appendix A.1 Continuous and Differentiable Functions A.2 Infinite Series of Functions A.3 Differentiation and Integration A.4 Differential Equations A.5 The Gamma Function References Answers and Hints to Selected Exercises

LINEAR ALGEBRA (4版)

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書名：Linear Algebra 4/E 作者：Friedberg / Insel / Spence 出版社：Pearson 出版日期：2013/00/00 ISBN：9781292026503

Principles of Mathematical Analysis 3/e 2023 Edition (3版)

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Principles of Mathematical Analysis 3/e 2023 Edition 作者：Walter Rudin ISBN：9786269708116 版次：3 年份：2023 出版商：McGraw-Hill 頁數/規格：342頁/平裝單色 Description This book is intended to serve as a text for the course in analysis that is usually taken by advanced undergraduates or by first-year students who study mathematics. NEW to This Edition The material on functions of several variables in Chapter 9 is significantly rewritten, with many details filled in, and with more examples and more motivation. The proof of the inverse function theorem is simplified by means of the fixed point theorem about contraction mappings. Differential forms are discussed in much greater detail. Several applications of Stokes' theorem are included. The Riemann-Stieltjes integral in Chapter 6 has been trimmed a bit. A short do-it-yourself section on the gamma function has been added to Chapter 8. There is a large number of new exercises throughout the book, most of them with fairly detailed hints. Several references to articles appearing in the American Mathematical Monthly and in Mathematics Magazine are included for students to develop the habit of looking into the journal literature. 目錄 Table of Contents Chapter 1: The Real and Complex Number Systems  Chapter 2: Basic Topology  Chapter 3: Numerical Sequences and Series  Chapter 4: Continuity  Chapter 5: Differentiation  Chapter 6: The Riemann-Stieltjes Integral  Chapter 7: Sequences and Series of Functions  Chapter 8: Some Special Functions  Chapter 9: Functions of Several Variables  Chapter 10: Integration of Differential Forms  Chapter 11: The Lebesgue Theory

Real and complex analysis (3版)

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【簡介】 Description This is an advanced text for the one- or two-semester course in analysis taught primarily to math, science, computer science, and electrical engineering majors at the junior, senior or graduate level. The basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. The traditionally separate subjects of 'real analysis' and 'complex analysis' are thus united in one volume. Some of the basic ideas from functional analysis are also included. This is the only book to take this unique approach. The third edition includes a new chapter on differentiation. Proofs of theorems presented in the book are concise and complete and many challenging exercises appear at the end of each chapter. The book is arranged so that each chapter builds upon the other, giving students a gradual understanding of the subject. 【目錄】 Table of Contents Chapter 1: Abstract Integration Chapter 2: Positive Borel Measures Chapter 3: Lp-Spaces Chapter 4: Elementary Hilbert Space Theory Chapter 5: Examples of Banach Space Techniques Chapter 6: Complex Measures Chapter 7: Differentiation Chapter 8: Integration on Product Spaces Chapter 9: Fourier Transforms Chapter 10: Elementary Properties of Holomorphic Functions Chapter 11: Harmonic Functions Chapter 12: The Maximum Modulus Principle Chapter 13: Approximation by Rational Functions Chapter 14: Conformal Mapping Chapter 15: Zeros of Holomorphic Functions Chapter 16: Analytic Continuation Chapter 17: Hp-Spaces Chapter 18: Elementary Theory of Banach Algebras Chapter 19: Holomorphic Fourier Transforms Chapter 20: Uniform Approximation by Polynomials

Complex Analysis (3版)

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【原文書】 書名：Complex Analysis: A First Course withe Applications 3/E 作者：Zill、Shanahan 出版社：Jones & Bartlett Learning 出版日期：2013/09/20 ISBN：9781449694616 目錄 Preface Preface Chapter 1 Complex Numbers and the Complex Plane Chapter 2 Complex Functions and Mapping Chapter 3 Analytic Functions Chapter 4 Elementary Functions Chapter 5 Integration in the Complex Plane Chapter 6 Series and Residues Chapter 7 Conformal Mapping

Fundamentals of Complex Analysis (3版)

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書名：Fundamentals of Complex Analysis (PNIE) 3/e 作者：Saff 出版社：Pearson 出版日期：2014/00/00 ISBN：9781292023755 目錄 1. Complex Numbers. 2. Analytic Functions. 3. Elementary Functions. 4. Complex Integration. 5. Series Representations for Analytic Functions. 6. Residue Theory. 7. Conformal Mapping. 8. The Transforms of Applied Mathematics Answers to Odd-Numbered Problems.