Principles of Mathematical Analysis, 3/e (Paperback)
Walter Rudin
- 出版商: Wiley
- 出版日期: 1976-09-16
- 售價: $760
- 語言: 英文
- 頁數: 342
- ISBN: 0070856133
- ISBN-13: 9780070856134
-
其他版本:
Principles of Mathematical Analysis, 3/e (Hardcover)
Principles of Mathematical Analysis, 3/e (2023 Edition)
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商品描述
Description
The third edition of this well known text continues to provide a solid foundation in mathematical analysis for undergraduate and first-year graduate students. The text begins with a discussion of the real number system as a complete ordered field. (Dedekind's construction is now treated in an appendix to Chapter I.) The topological background needed for the development of convergence, continuity, differentiation and integration is provided in Chapter 2. There is a new section on the gamma function, and many new and interesting exercises are included.
目錄大綱
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