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Bibliografische Details

Titel: Introductory Analysis: The Theory of Calculus

Verlag: Academic Press

Erscheinungsdatum: 2000

Einband: Hardcover

Zustand: Very Good

Zustand des Schutzumschlags: No Jacket

Auflage: 2. Auflage

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Inhaltsangabe:

Book by Fridy John A

Rese�a del editor:

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

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Introductory Analysis: The Theory of Calculus

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