Principles of Mathematical Analysis, 3/e (Paperback)
暫譯: 數學分析原理，第3版（平裝本）

Walter Rudin

Principles of Mathematical Analysis, 3/e (Paperback)

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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.

商品描述(中文翻譯)

描述

這本知名教材的第三版繼續為本科生和第一年研究生提供堅實的數學分析基礎。該書首先討論實數系統作為一個完整的有序域。（Dedekind 的構造現在在第一章的附錄中處理。）第二章提供了發展收斂、連續性、微分和積分所需的拓撲背景。新增了一個關於伽瑪函數的部分，並包含了許多新的有趣練習。

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

目錄大綱(中文翻譯)

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

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