高等数学分析

作者简介

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！

书籍目录

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

编辑推荐

　　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。

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