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.

REAL and COMPLEX ANALYSIS (3版)

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【原文書】 書名：REAL AND COMPLEX ANALYSIS 3/E 作者：RUDIN 出版社：McGraw-Hill ISBN：9780071002769