Real Analysis: A Historical Approach

Real Analysis: A Historical Approach
Wiley-Interscience ( 2000) | ISBN: 0471318523 | 288 pages | File type: PDF | 3 mb
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.

[Fast Download] Real Analysis: A Historical Approach

Related eBooks:
The Theory of Linear Prediction
Topological Vector Spaces
Mathematical Modelling in Plant Biology
Universal Algebra
The Case for Cases
Calculus Made Easy
A Course on Queueing Models
Graphs and Matrices
From Combinatorics to Philosophy: The Legacy of G.-C. Rota
Lectures on Algebra Volume 1
Nonlinearity and Chaos in Molecular Vibrations
Conditional Specification of Statistical Models (Springer Series in Statistics)
Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.