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Real Analysis : A Historical Approach by Saul Stahl (1999, Hardcover)

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About this product

Product Identifiers

PublisherWiley & Sons, Incorporated, John

ISBN-100471318523

ISBN-139780471318521

eBay Product ID (ePID)472979

Product Key Features

Number of Pages288 Pages

Publication NameReal Analysis : a Historical Approach

LanguageEnglish

Publication Year1999

SubjectFunctional Analysis, Calculus, Mathematical Analysis

TypeTextbook

AuthorSaul Stahl

Subject AreaMathematics

FormatHardcover

Dimensions

Item Height0.8 in

Item Weight18.6 Oz

Item Length9.4 in

Item Width6.3 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN99-021917

Dewey Edition22

IllustratedYes

Dewey Decimal515/.8

Table Of ContentArchimedes and the Parabola. Fermat, Differentiation, and Integration. Newton's Calculus (Part 1). Newton's Calculus (Part 2). Euler. The Real Numbers. Sequences and Their Limits. The Cauchy Property. The Convergence of Infinite Series. Series of Functions. Continuity. Differentiability. Uniform Convergence. The Vindication. Appendices. Solutions to Selected Exercises. Bibliography. Index.

SynopsisA provocative look at the tools and history of real analysis This new work from award-winning author Saul Stahl offers a real treat for students of analysis. Combining historical coverage with a superb introductory treatment, Real Analysis: A Historical Approach helps readers easily make the transition from concrete to abstract ideas. The book begins with an exciting sampling of classic and famous problems first posed by some of the greatest mathematicians of all time. Archimedes, Fermat, Newton, and Euler are each summoned in turn-illuminating the utility of infinite, power, and trigonometric series in both pure and applied mathematics. Next, Dr. Stahl develops the basic tools of advanced calculus, introducing the various aspects of the completeness of the real number system, sequential continuity and differentiability, as well as uniform convergence. Finally, he presents applications and examples to reinforce concepts and demonstrate the validity of many of the historical methods and results. Ample exercises, illustrations, and appended excerpts from the original historical works complete this focused, unconventional, highly interesting book. It is an invaluable resource for mathematicians and educators seeking to gain insight into the true language of mathematics.

LC Classification NumberQA300.S882 1999