Principles of Mathematical Analysis, 3/e (Paperback)
Walter Rudin
- 出版商: Wiley
- 出版日期: 1976-09-16
- 售價: $784
- 語言: 英文
- 頁數: 342
- ISBN: 0070856133
- ISBN-13: 9780070856134
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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.
商品描述(中文翻譯)
《數學分析》第三版是一本廣為人知的教材，繼續為大學本科和研究生一年級的學生提供堅實的數學分析基礎。本書首先討論了實數系統作為一個完備有序域的概念。（戴德金的構造現在在第一章的附錄中進行了討論。）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。本版新增了一節關於伽馬函數的內容，並且包含了許多新的有趣練習題。
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)
目錄
第一章：實數和複數系統
第二章：基本拓撲學
第三章：數列和級數
第四章：連續性
第五章：微分
第六章：黎曼-斯蒂爾吉積分
第七章：函數的數列和級數
第八章：一些特殊函數
第九章：多變數函數
第十章：微分形式的積分
第十一章：勒貝格理論
