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Limits, Limits Everywhere: The Tools of - Paperback, by Applebaum David - Good
US $10.35
ApproximatelyPHP 577.13
Condition:
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
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Item specifics
- Condition
- Book Title
- Limits, Limits Everywhere: The Tools of Mathematical Analysis
- ISBN
- 9780199640089
About this product
Product Identifiers
Publisher
Oxford University Press, Incorporated
ISBN-10
0199640084
ISBN-13
9780199640089
eBay Product ID (ePID)
112944060
Product Key Features
Number of Pages
218 Pages
Language
English
Publication Name
Limits, Limits Everywhere : the Tools of Mathematical Analysis
Publication Year
2012
Subject
General, Mathematical Analysis
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
0.5 in
Item Weight
12.2 Oz
Item Length
9.2 in
Item Width
6 in
Additional Product Features
Intended Audience
Scholarly & Professional
LCCN
2011-945216
Dewey Edition
23
Reviews
This book does not offer an easy ride but its informal and enthusiastic literary style hold ones attention. Perhaps mindful of the content of much current popular mathematical exposition, the author draws many illustrations from number theory., Written in a style that is easy to read and follow, the author gives clear and succinct explanations and meets his desire for this to be between a textbook and a popular book on mathematics., The author is able to mix both styles relating informal language to mathematical language and giving proofs that are deep but easy to read and follow., This is an excellent book which should appeal to teachers and pre-University or undergraduate students looking for a hands-on introduction to mathematical analysis., The book is devoted to the discussion of one of the most difficult concepts of mathematical analysis, the concept of limits. The presentation is instructive and informal. It allows the author to go much deeper than is usually possible in a standard course of calculus. Moreover, each portion of the material is supplied by an explanation why and what for it is necessary to study (and to teach) the corresponding part of calculus ... the book can be recommended for interested studentsas well as for teachers in mathematics.
Illustrated
Yes
Dewey Decimal
515
Table Of Content
IntroductionI Approaching Limits1. A Whole Lot of Numbers2. Let's Get Real3. The Joy of Inequality4. Where Do You Go To, My Lovely5. Bounds for Glory6. You Cannot be SeriesII Exploring Limits7. Wonderful Numbers8. Infinite Products9. Continued Fractions10. How Infinite Can You Get?11. Constructing the Real Numbers12. Where to Next in Analysis? The Calculus13. Some Brief Remarks About the History of AnalysisFurther ReadingApendices1. The Binomial Theorem2. The Language of Set Theory3. Proof by Mathematical Induction4. The Algebra of NumbersHints and Selected Solutions
Synopsis
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 π, 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., 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 ?, 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., An account of elementary real analysis positioned between a popular mathematics book and a first year college or university text. This book doesn't assume knowledge of calculus and, instead, the emphasis is on the application of analysis to number theory.
LC Classification Number
QA300
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- n***n (4323)- Feedback left by buyer.Past monthVerified purchaseThank You for selling this text.
- e***h (90)- Feedback left by buyer.Past monthVerified purchaseThe book was in very good condition and arrived sooner than I had anticipated. It was great value for money. Good communication from seller.
- b***o (2302)- Feedback left by buyer.Past monthVerified purchaseShipped quickly, great value, perfect condition. Would purchase from this seller again. Thank you!
- b***r (487)- Feedback left by buyer.Past monthVerified purchaseAAA+++!!!