Real analysis : a historical approach / Saul Stahl.
A provocative look at the tools and history of real analysis. This new edition of "Real Analysis: A Historical Approach " continues to serve as an interesting read for students of analysis. Combining historical coverage with a superb introductory treatment, this book helps readers easily m...
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Online Access: |
Full Text (via ProQuest) |
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Main Author: | |
Format: | eBook |
Language: | English |
Published: |
Hoboken, NJ :
Wiley,
©2011.
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Edition: | 2nd ed. |
Series: | Pure and applied mathematics (John Wiley & Sons : Unnumbered)
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Subjects: |
Table of Contents:
- Archimedes 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
- The Riemann Integral
- Appendix A: Excerpts from 'Quadrature of the Parabola' by Archimedes
- Appendix B: On a Method for the Evaluation of Maxima and Minima by Pierre de Fermat
- Appendix C: From a Letter to Henry Oldenburg on the Binomial Series (June 13, 1676) by Isaac Newton
- Appendix D: From a Letter to Henry Oldenburg on the Binomial Series (October 24, 1676) by Isaac Newton
- Appendix E: Excerpts from 'Of Analysis by Equations of an Infinite Number of Terms' by Isaac Newton
- Appendix F: Excerpts from 'Subsiduum Calculi Sinuum' by Leonhard Euler
- Solutions to Selected Exercises.