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Understanding analysis

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  • 272 pages
  • 10 hours of reading

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This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.

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Understanding analysis, Stephen Abbott

Language
Released
2001
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(Hardcover)
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Language
English
Publisher
Springer
Released
2001
Format
Hardcover
Pages
272
ISBN10
0387950605
ISBN13
9780387950600
Series
Rating
4.45 out of 5
Description
This elementary presentation exposes readers to both the process of rigor and the rewards inherent in taking an axiomatic approach to the study of functions of a real variable. The aim is to challenge and improve mathematical intuition rather than to verify it. The philosophy of this book is to focus attention on questions which give analysis its inherent fascination. Each chapter begins with the discussion of some motivating examples and concludes with a series of questions.