Elementary Analysis: The Theory of Calculus / Edition 1

Elementary Analysis: The Theory of Calculus / Edition 1

by Kenneth A. Ross
ISBN-10:
038790459X
ISBN-13:
9780387904597
Pub. Date:
03/01/1980
Publisher:
Springer-Verlag New York, LLC
ISBN-10:
038790459X
ISBN-13:
9780387904597
Pub. Date:
03/01/1980
Publisher:
Springer-Verlag New York, LLC
Elementary Analysis: The Theory of Calculus / Edition 1

Elementary Analysis: The Theory of Calculus / Edition 1

by Kenneth A. Ross
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Overview

For over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs. Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus. Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging.

The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs. New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions.


Product Details

ISBN-13: 9780387904597
Publisher: Springer-Verlag New York, LLC
Publication date: 03/01/1980
Series: Undergraduate Texts in Mathematics Series
Edition description: 1st ed. 1980. Corr. 14th printing 2003
Pages: 364
Product dimensions: 9.21(w) x 6.14(h) x 0.94(d)

About the Author

Kenneth A. Ross is currently an emeritus professor of mathematics at the University of Oregon.

Jorge M. López is currently professor of mathematics at the University of Puerto Rico.

Table of Contents

Preface.- 1 Introduction.- 2 Sequences.- 3 Continuity.- 4 Sequences and Series of Functions.- 5 Differentiation.- 6 Integration.- 7 Capstone.- Appendix on Set Notation.- Selected Hints and Answers.- References.- Index.
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