Real Analysis: A Historical Approach: An Historical Approach - Hardcover

Stahl, Saul

Hardcover

ISBN 10: 0471318523 ISBN 13: 9780471318521

Publisher: Wiley–Blackwell, 1999

Synopsis

A 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.

About this title

Review:

Stahl s book, though relatively modest in its historical ambit, is a workmanlike and very readable introduction to real analysis with a distinctive flavour provided by a plethora of accessible exercises, many of which are historically motivated.   (The Mathematical Gazette, 1 March 2014)

About the Author:

SAUL STAHL, PhD, is Professor of Mathematics at the University of Kansas. The recipient of the Carl S. Allendoerfer Award from the Mathematical Association of America in 1986 for excellence in expository writing, Dr. Stahl has published over 30 articles as well as three books, including Introductory Modern Algebra: A Historical Approach, also from Wiley.

About this edition

• Publisher: Wiley–Blackwell
• Publication date: 1999
• ISBN 10: 0471318523
• ISBN 13: 9780471318521
• Binding: Hardcover
• Number of pages: 288