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1 Beaverton Mathematics- Calculus

Elementary Analysis: The Theory of Calculus (Graduate Texts in Mathematics)

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Elementary Analysis: The Theory of Calculus (Graduate Texts in Mathematics) Cover

ISBN13: 9780387904597
ISBN10: 038790459x
Condition: Standard
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Synopses & Reviews

Publisher Comments:

Designed for students having no previous experience with rigorous proofs, this text on analysis can be used immediately following standard calculus courses. It is highly recommended for anyone planning to study advanced analysis, e.g., complex variables, differential equations, Fourier analysis, numerical analysis, several variable calculus, and statistics. It is also recommended for future secondary school teachers. A limited number of concepts involving the real line and functions on the real line are studied. Many abstract ideas, such as metric spaces and ordered systems, are avoided. The least upper bound property is taken as an axiom and the order properties of the real line are exploited throughout. A thorough treatment of sequences of numbers is used as a basis for studying standard calculus topics. Optional sections invite students to study such topics as metric spaces and Riemann-Stieltjes integrals.

Description:

Includes bibliographical references (p. 341-344) and indexes.

Table of Contents

Introduction.- Sequences.- Continuity.- Sequences and Series of Functions.- Differentiation.- Integration.- Appendix on Set Notation.- Selected Hints and Answers

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Average customer rating based on 1 comment:

helenholder, October 3, 2008 (view all comments by helenholder)
Everything I would want in an Analysis book. Nice cover and title. I have always wanted to study the theory of Calculus.
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Product Details

ISBN:
9780387904597
Author:
Ross, Kenneth A
Publisher:
Springer
Author:
Ross, Ken
Author:
Ross, Kenneth A.
Location:
New York :
Subject:
Calculus
Subject:
Mathematical Analysis
Subject:
Differentialrechnung
Subject:
Integralrechnung
Subject:
Analysis
Subject:
Mathematics-Calculus
Copyright:
Edition Number:
8
Edition Description:
1980. Corr. 14t
Series:
Undergraduate texts in mathematics
Series Volume:
2
Publication Date:
January 2003
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
364
Dimensions:
235 x 155 mm 1540 gr

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Related Subjects


Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Geometry » Geometry and Trigonometry
Science and Mathematics » Mathematics » Real Analysis

Elementary Analysis: The Theory of Calculus (Graduate Texts in Mathematics) Used Hardcover
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