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understanding analysis, stephen abbott [pdf]

Understanding Analysis by Stephen Abbott

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About this book :-
Understanding Analysis written by Stephen Abbott
What began as a desire to sketch out a simple “answer key” for the problems in Understanding Analysis has inevitably evolved into something a bit more ambitious. As author was generating solutions for the over 350 exercises in the text, Auther found myself adding regular commentary on common pitfalls and strategies that frequently arise. Author sense is that this manual should be a useful supplement to instructors teaching a course or to individuals engaged in an independent study.
As with the textbook itself, author tried to write with the introductory student firmly in mind. Author have come to understand the strong correlation between how students learn analysis and how they write it. A final goal author have for these notes is to illustrate by example how the form and grammar of a written argument are intimately connected to the clarity of a proof and, ultimately, to its validity.
Author would like to thank former students Carrick Detweiller, Katherine Ott, Yared Gurmu, and Yuqiu Jiang for their considerable help with a preliminary draft.
(Stephen Abbott)

Book Detail :-
Title: Understanding Analysis
Author(s): Stephen Abbott
Publisher: Springer International Publishing
Year: 2001
Pages: 429
Type: PDF
Language: English
ISBN: 9780387950600,0387950605
Country: US
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About Author :-
Author Stephen Abbott is a professor of mathematics at Middlebury College, Middlebury, US and currently coeditor of Math Horizons.

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Book Contents :-
Understanding Analysis written by Stephen Abbott cover the following topics.
1. The Real Numbers
2. Sequences and Series
3. Basic Topology of R
4. Functional Limits and Continuity
5. The Derivative
6. Sequences and Series of Functions
7. The Riemann Integral
8. Additional Topics


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