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出版者:世界图书出版公司

作者:S.lang

出品人:

页数:642

译者:

出版时间:2006-2

价格:76.00元

装帧:简裝本

isbn号码:9787506272643

丛书系列:

图书标签:

数学
高等数学分析（第二版）（英文版）
Analysis
数学分析
初等分析学
mathematical_analysis
fg
Undergraduate
高等数学
分析
数学基础
微积分
数学理论
大学教材
数学专业
极限理论
函数研究
数学推理

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具体描述

本书作者是当代数学大师，这本教材的蓝本从1968年开始使用，先后两次改版，重印四次，非常适合学过微积分的高校数学系本科生使用。本书重点论述一致收敛、一到极限，以及在积分或微分情况下普遍的一致性等理论。

　　此书为英文版！

作者简介

Serge Lang (May 19, 1927–September 12, 2005) was a French-born American mathematician. He was known for his work in number theory and for his mathematics textbooks, including the influential Algebra. He was a member of the Bourbaki group.

He was born in Paris in 1927, and moved with his family to California as a teenager. He graduated from CalTech in 1946, and received a doctorate from Princeton University in 1951. He had positions at the University of Chicago and Columbia University (from 1955, leaving 1971 in a dispute). At the time of his death he was professor emeritus of mathematics at Yale University.

(From Wikipedia.org)

目录信息

foreword to the first edition
foreword to the second edition
part one review of calculus
chapter 0 sets and mappings
chapter ⅰ real numbers
chapter ⅱ limits and continuous functions
chapter ⅲ differentlation
chapter ⅳ elementary functions
chapter ⅴ the elementary real integral
part tow convergence
chapter ⅵ normed vector spaces
chapter ⅶ limits
chapter ⅷ compactness
chapter ⅸ serles
chapter ⅹ the integral in one varlable
part three applications of the integral
chapter ? approximation with convolutions
chapter ? fourier series
chapter xiii improper integrals
chapter xiv the fourler integral
.part four calculus in vector spaces
chapter xv functions on n-space
chapter xvi the winding number and global potential functions
chapter xvii derivatives in vector spaces
chapter aviii inverse mapping theorem
chapter xix ordinary differential equations
part five multiple integration
chapter xx multlple integrals
chapter xxi differential forms
appendix
index
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