An introduction to analysis
著者
書誌事項
An introduction to analysis
（Graduate texts in mathematics, 154）
Springer-Verlag, c1995
- : us
- : gw
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注記
Includes bibliographical references and index
内容説明・目次
- 巻冊次
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: us ISBN 9780387943695
内容説明
As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. In addition to its primary purpose as a textbook for a formal course, however, it is the authors' hope that this book will also prove of value to readers interested in studying mathematical analysis on their own. Indeed, we believe the wealth and variety of examples and exercises will be especially conducive to this end. A word on prerequisites. With what mathematical background might a prospective reader hope to profit from the study of this book? Our con scious intent in writing it was to address the needs of a beginning graduate student in mathematics, or, to put matters slightly differently, a student who has completed an undergraduate program with a mathematics ma jor. On the other hand, the book is very largely self-contained and should therefore be accessible to a lower classman whose interest in mathematical analysis has already been awakened.
目次
1 The rudiments of set theory.- 2 Number systems.- 3 Linear analysis.- 4 Cardinal numbers.- 5 Ordinal numbers.- 6 Metric spaces.- 7 Continuity and limits.- 8 Completeness and compactness.- 9 General topology.
- 巻冊次
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: gw ISBN 9783540943693
内容説明
This book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form it has been used in this way at the University of Michigan, Indiana University, and Texas A&M University. The book addresses the needs of a beginning graduate student, that is a student who has completed an undergraduate program with a mathematics major.
目次
Contents: The rudiments of set theory.- Number systems.- Linear analysis.- Cardinal numbers.- Ordinal numbers.- Metric spaces.- Continuity and limits.- Completeness and compactness.- General topology.- Bibliography.- Index.
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