Screen LibraryReal analysis a historical approach /
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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| Published: |
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| Literature type: | Electronic eBook |
| Language: | English |
| Edition: | 2nd ed. |
| Series: |
Pure and applied mathematics
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| Online Access: |
http://onlinelibrary.wiley.com/book/10.1002/9781118096864 |
| Summary: |
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 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 trigo |
| Carrier Form: | 1 online resource (xv, 293 p.) : ill. |
| Bibliography: | Includes bibliographical references and index. |
| ISBN: |
9781118096864 (electronic bk.) 111809686X (electronic bk.) 9781118096840 (ePDF) 1118096843 (ePDF) 9781118096857 (ePub) 1118096851 (ePub) |
| Index Number: | QA300 |
| CLC: | O17 |
| 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 |