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Limits, Limits Everywhere: The Tools of Mathematical Analysis

David Applebaum
Publisher: 
Oxford University Press
Publication Date: 
2014
Number of Pages: 
200
Format: 
Paperback
Price: 
39.99
ISBN: 
9780199640089
Category: 
Textbook
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Introduction
I Approaching Limits
1. A Whole Lot of Numbers
2. Let's Get Real
3. The Joy of Inequality
4. Where Do You Go To, My Lovely
5. Bounds for Glory
6. You Cannot be Series
II Exploring Limits
7. Wonderful Numbers
8. Infinite Products
9. Continued Fractions
10. How Infinite Can You Get?
11. Constructing the Real Numbers
12. Where to Next in Analysis? The Calculus
13. Some Brief Remarks About the History of Analysis
Further Reading
Apendices
1. The Binomial Theorem
2. The Language of Set Theory
3. Proof by Mathematical Induction
4. The Algebra of Numbers
Hints and Selected Solutions

 

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