- ISBN:9787510048005
- 装帧:一般胶版纸
- 册数:暂无
- 重量:暂无
- 开本:16开
- 页数:426
- 出版时间:2012-09-01
- 条形码:9787510048005 ; 978-7-5100-4800-5
内容简介
the present book strives for clarity and transparency. right
from the begin-ning, it requires from the reader a willingness to
deal with abstract concepts, as well as a considerable measure of
self-initiative. for these e&,rts, the reader will be richly
rewarded in his or her mathematical thinking abilities, and will
possess the foundation needed for a deeper penetration into
mathematics and its applications.
this book is the first volume of a three volume introduction to
analysis. it de- veloped from. courses that the authors have taught
over the last twenty six years at the universities of bochum, kiel,
zurich, basel and kassel. since we hope that this book will be used
also for self-study and supplementary reading, we have included far
more material than can be covered in a three semester sequence.
this allows us to provide a wide overview of the subject and to
present the many beautiful and important applications of the
theory. we also demonstrate that mathematics possesses, not only
elegance and inner beauty, but also provides efficient methods for
the solution of concrete problems.
目录
chapter ⅰ foundations
1 fundamentals of logic
2 sets
elementary facts
the power set
complement, intersection and union
products
families of sets
3 functions,
simple examples
composition of functions
commutative diagrams
injections, surjections and bijections
inverse functions
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