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Academic Press Introductory Analysis: The Theory of Calculus

Name: Introductory Analysis: The Theory of Calculus
Brand: Academic Press
Price: 84.0 GBP
Availability: InStock

Real Analysis

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Description

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

Product Specifications

Brand: Academic Press
Format: hardcover
ASIN: 0122676556
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Real Analysis
Domain: Amazon UK
Release Date: 01 January 2000
Listed Since: 06 February 2007

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Academic Press Introductory Analysis: The Theory of Calculus

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