Limits, Limits Everywhere: The Tools of Mathematical Analysis (1st edition softback in near fine condition)
Language: English
Published by Oxford University Press, 2012
- First Edition
- Softcover
- Used
Seller: The Spoken Word, Oxfordshire, United KingdomThe Spoken Word
AbeBooks seller since May 11, 2012
Condition: Used - Near fine
£ 15.99
Quantity: 1 available
Add to basketItem description from seller
Published by Oxford University Press in 2012, here is the first softback printing of David Applebaum's LIMITS, LIMITS EVERYWHERE: The Tools of Mathematical Analysis. Glossy pictorial card covers, 200 pages, illustrations throughout, the book is in near fine condition with some very minimal creasing to the front top edge of the card covers.
Seller Inventory # 12393
- Title
- Limits, Limits Everywhere: The Tools of Mathematical Analysis (1st edition softback in near fine condition)
- Author
- Applebaum, David
- Publisher
- Oxford University Press
- Publication year
- 2012
- Condition
- Near Fine
- Dust jacket
- No Jacket
- Binding
- Soft cover
- Language
- English
- ISBN 10
- 0199640084
- ISBN 13
- 9780199640089
- Edition
- 1st Edition
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 ? , 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.
A lot of material found in a standard university course on "real analysis" is covered and most of the mathematics is written in standard theorem-proof style. However, more details are given than is usually the case to help readers who find this style daunting. Both set theory and proof by induction are avoided in the interests of making the book accessible to a wider readership, but both of these topics are the subjects of appendices for those who are interested in them. And unlike most university texts at this level, topics that have featured in popular science books, such as the Riemann hypothesis, are introduced here. As a result, this book occupies a unique position between a popular mathematics book and a first year college or university text, and offers a relaxed introduction to a fascinating and important branch of mathematics.
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The Spoken Word
Oxfordshire, United Kingdom
AbeBooks seller since May 11, 2012
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