Real and Complex Analysis读书介绍
| 类别 | 页数 | 译者 | 网友评分 | 年代 | 出版社 |
|---|---|---|---|---|---|
| 书籍 | 483页 | 2020 | McGraw-Hill India |
| 定价 | 出版日期 | 最近访问 | 访问指数 |
|---|---|---|---|
| USD 15.00 | 2020-02-20 … | 2020-03-03 … | 34 |
Third Indian Edition
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. Key features: the basic techniques and theorems of analysis are presented in such a way that the intimate connections between its various branches are strongly emphasized. Proofs of theorems presented in the book are concise and complete. Challenging and through provoking exercise at the end of each paper. Table of content: preface prologue: the exponential function 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.
作者简介Walter Rudin，1953年于杜克大学获得数学博士学位。曾行后执教于麻省理工学院、罗切斯特大学、威斯康星大学麦迪逊分校、耶鲁大学等。他的主要研究兴趣集中在调和分析和复变函数。除本书外，他还著有另外两本名著：《Functional Analysis》和《Principles of Mathematical Analysis》，这些教材已被翻译成13种语言，在世界各地广泛使用。
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