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Elementary Analysis: The Theory of Calculus
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eBay item number:285860426256
Item specifics
- Condition
- Release Year
- 1980
- Book Title
- Elementary Analysis: The Theory of Calculus
- ISBN
- 9780387904597
- Subject Area
- Mathematics
- Publication Name
- Elementary Analysis : the Theory of Calculus
- Item Length
- 9.3 in
- Publisher
- Springer
- Subject
- Calculus, Mathematical Analysis
- Publication Year
- 2003
- Series
- Undergraduate Texts in Mathematics Ser.
- Type
- Textbook
- Format
- Hardcover
- Language
- English
- Item Width
- 6.1 in
- Item Weight
- 54.3 Oz
- Number of Pages
- VIII, 264 Pages
About this product
Product Information
Designed for students having no previous experience with rigorous proofs, this text can be used immediately after standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, as well as for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied, while many abstract ideas, such as metric spaces and ordered systems, are avoided completely. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics, and optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.
Product Identifiers
Publisher
Springer
ISBN-10
038790459x
ISBN-13
9780387904597
eBay Product ID (ePID)
15038311925
Product Key Features
Publication Name
Elementary Analysis : the Theory of Calculus
Format
Hardcover
Language
English
Subject
Calculus, Mathematical Analysis
Publication Year
2003
Series
Undergraduate Texts in Mathematics Ser.
Type
Textbook
Subject Area
Mathematics
Number of Pages
VIII, 264 Pages
Dimensions
Item Length
9.3 in
Item Width
6.1 in
Item Weight
54.3 Oz
Additional Product Features
Edition Number
12
LCCN
00-268318
Lc Classification Number
Qa303.R726 2000
Reviews
From the reviews:K.A. RossElementary AnalysisThe Theory of Calculus"This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis, such as continuity, convergence of sequences and series of numbers, and convergence of sequences and series of functions. There are many nontrivial examples and exercises, which illuminate and extend the material. The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and, in this reviewer's opinion, has succeeded admirably."-MATHEMATICAL REVIEWS"This book occupies a niche between a calculus course and a full-blown real analysis course. … I think the book should be viewed as a text for a bridge or transition course that happens to be about analysis … . Lots of counterexamples. Most calculus books get the proof of the chain rule wrong, and Ross not only gives a correct proof but gives an example where the common mis-proof fails." (Allen Stenger, The Mathematical Association of America, June, 2008)
Table of Content
Introduction.- Sequences.- Continuity.- Sequences and Series of Functions.- Differentiation.- Integration.- Appendix on Set Notation.- Selected Hints and Answers
Copyright Date
1980
Target Audience
Scholarly & Professional
Dewey Decimal
515
Dewey Edition
21
Illustrated
Yes
Item description from the seller
Seller assumes all responsibility for this listing.
eBay item number:285860426256
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