Introductory Analysis: The Theory of Calculus - Hardcover

Fridy, John A.

Hardcover

ISBN 10: 0122676556 ISBN 13: 9780122676550

Publisher: Academic Press, 2000

Synopsis

Introductory Analysis, Second Edition, is intended for the standard course on calculus limit theories that is taken after a problem solving first course in calculus (most often by junior/senior mathematics majors). Topics studied include sequences, function limits, derivatives, integrals, series, metric spaces, and calculus in n-dimensional Euclidean space

• Bases most of the various limit concepts on sequential limits, which is done first
• Defines function limits by first developing the notion of continuity (with a sequential limit characterization)
• Contains a thorough development of the Riemann integral, improper integrals (including sections on the gamma function and the Laplace transform), and the Stieltjes integral
• Presents general metric space topology in juxtaposition with Euclidean spaces to ease the transition from the concrete setting to the abstract

New to This Edition

• Contains new Exercises throughout
• Provides a simple definition of subsequence
• Contains more information on function limits and L'Hospital's Rule
• Provides clearer proofs about rational numbers and the integrals of Riemann and Stieltjes
• Presents an appendix lists all mathematicians named in the text
• Gives a glossary of symbols

Edition details

• Publisher: Academic Press
• Publication date: 2000
• ISBN 10: 0122676556
• ISBN 13: 9780122676550
• Binding: Hardcover
• Language: English
• Edition number: 2
• Number of pages: 335