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Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
David Applebaum |
Limits, limits everywhere: The Tools of Mathematical Analysis |
024638 |
2012 |
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| Title | Limits, limits everywhere: The Tools of Mathematical Analysis |
| Author(s) | David Applebaum |
| Publication | Oxford, Oxford University Press, 2012. |
| Description | xv, 200p. |
| Abstract Note | A quantity can be made smaller and smaller without it ever vanishing. This fact has profound consequences for science, technology, and even the way we think about numbers. In this book, we will explore this idea by moving at an easy pace through an account of elementary real analysis and, in particular, will focus on numbers, sequences, and series.
Almost all textbooks on introductory analysis assume some background in calculus. This book doesn't and, instead, the emphasis is on the application of analysis to number theory. The book is split into two parts. Part 1 follows a standard university course on analysis and each chapter closes with a set of exercises. Here, numbers, inequalities, convergence of sequences, and infinite series are all covered. Part 2 contains a selection of more unusual topics that aren't usually found in books of this type. It includes proofs of the irrationality of e and pi, continued fractions, an introduction to the Riemann zeta function, Cantor's theory of the infinite, and Dedekind cuts. There is also a survey of what analysis can do for the calculus and a brief history of the subject. |
| ISBN,Price | 9780199640089 : UKP 19.99(PB) |
| Classification | 517
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| Keyword(s) | 1. CONTINUED FRACTIONS
2. CONTOR THEORY
3. CONVERGENCE OF SEQUENCES
4. INEQUALITY
5. INFINITE SERIES
6. LIMIT
7. NUMBERS
8. RIEMANN ZETA FUNCTION
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| Item Type | Book |
Circulation Data
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Call# | Status | Issued To | Return Due On | Physical Location |
| 024638 |
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APP/024638 |
On Shelf |
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