A radical approach to real analysis
著者
書誌事項
A radical approach to real analysis
（Classroom resource materials）
Mathematical Association of America, c2007
2nd ed
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注記
Bibliography: p. 303-304
Includes index
内容説明・目次
内容説明
In the second edition of this MAA classic, exploration continues to be an essential component. More than 60 new exercises have been added, and the chapters on infinite summations, differentiability and continuity, and convergence of infinite series have been reorganized to make it easier to identify the key ideas. A Radical Approach to Real Analysis is an introduction to real analysis, rooted in and informed by the historical issues that shaped its development. It can be used as a textbook, or as a resource for the instructor who prefers to teach a traditional course, or as a resource for the student who has been through a traditional course yet still does not understand what real analysis is about and why it was created.
目次
- Preface
- 1. Crisis in mathematics: Fourier's series
- 2. Infinite summations
- 3. Differentiability and continuity
- 4. The convergence of infinite series
- 5. Understanding infinite series
- 6. Return to Fourier series
- 7. Epilogue
- A. Explorations of the infinite
- B. Bibliography
- C. Hints to selected exercises.
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