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.
- ISBN13 9781118096840
- Publish Date 20 September 2011 (first published 5 August 1999)
- Publish Status Active
- Publish Country US
- Imprint John Wiley & Sons Inc
- Edition 2nd Revised edition
- Format eBook
- Pages 316
- Language English
- URL http://wiley.com/remtitle.cgi?isbn=1118096843