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Introduction to Real Analysis by John DePree and Charles Swartz (1991, Trade Paperback)

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About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-100471853917

ISBN-139780471853916

eBay Product ID (ePID)383614

Product Key Features

Number of Pages368 Pages

LanguageEnglish

Publication NameIntroduction to Real Analysis

Publication Year1991

SubjectFunctional Analysis, Mathematical Analysis

TypeTextbook

AuthorJohn Depree, Charles Swartz

Subject AreaMathematics

FormatTrade Paperback

Dimensions

Item Height0.9 in

Item Weight21.7 Oz

Item Length9.6 in

Item Width6.6 in

Additional Product Features

Intended AudienceCollege Audience

LCCN87-034622

Dewey Edition19

IllustratedYes

Dewey Decimal515.8

Table Of ContentPreliminaries. Real Numbers. Sequences. Infinite Series. Euclidean Spaces. Limits of Functions. Continuity and Uniform Continuity. Sequences of Functions. The Riemann Integral Reviewed. The Gauge Integral. The Gauge Integral Over Unbounded Intervals. Convergence Theorems. Multiple Integrals. Convolution and Approximation. Metric Spaces. Topology in Metric Spaces. Continuity. Complete Metric Spaces. Contraction Mappings. The Baire Category Theorem. Compactness. Connectedness. The Stone-Weierstrass Theorem. Differentiation of Vector-valued Functions. Mapping Theorems. Bibliography. Index.

SynopsisAssuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering. The text presents the first elementary exposition of the gauge integral and offers a clear and thorough introduction to real numbers, developing topics in n-dimensions, and functions of several variables. Detailed treatments of Lagrange multipliers and the Kuhn-Tucker Theorem are also presented. The text concludes with coverage of important topics in abstract analysis, including the Stone-Weierstrass Theorem and the Banach Contraction Principle., Assuming minimal background on the part of students, this text gradually develops the principles of basic real analysis and presents the background necessary to understand applications used in such disciplines as statistics, operations research, and engineering.

LC Classification NumberQA331.5.D46 1988