Principles of Mathematical Analysis, 3/e (2023 Edition)
Walter Rudin
- 出版商: McGraw-Hill Education
- 出版日期: 2023-01-01
- 定價: $800
- 售價: 9.8 折 $784
- 語言: 英文
- 頁數: 342
- ISBN: 6269708117
- ISBN-13: 9786269708116
-
相關分類:
數值分析 Numerical-analysis
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商品描述
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
