Understanding Analysis

Nonfiction, Science & Nature, Mathematics, Mathematical Analysis
Cover of the book Understanding Analysis by Stephen Abbott, Springer New York
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Author: Stephen Abbott ISBN: 9780387215068
Publisher: Springer New York Publication: December 6, 2012
Imprint: Springer Language: English
Author: Stephen Abbott
ISBN: 9780387215068
Publisher: Springer New York
Publication: December 6, 2012
Imprint: Springer
Language: English

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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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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