Elementary Analysis: The Theory of Calculus / Edition 1

Elementary Analysis: The Theory of Calculus / Edition 1

by Kenneth A. Ross
     
 

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ISBN-10: 1441928111

ISBN-13: 9781441928115

Pub. Date: 11/10/2010

Publisher: Springer-Verlag New York, LLC

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

Overview

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.

Product Details

ISBN-13:
9781441928115
Publisher:
Springer-Verlag New York, LLC
Publication date:
11/10/2010
Series:
Undergraduate Texts in Mathematics Series
Edition description:
Softcover reprint of hardcover 1st ed. 1980
Pages:
364
Product dimensions:
6.10(w) x 9.20(h) x 0.90(d)

Related Subjects

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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