Real analysis : a constructive approach / Mark Bridger.
Material type:
TextSeries: Pure and applied mathematicsPublication details: New Jersey : Wiley-Interscience, c2012.Description: xvi, 302 p. : ill. ; 25 cmISBN: - 9781118357064
- 23 B851 515.8
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.8 B851 (Browse shelf(Opens below)) | Available | 135581 | |||
| Books | ISI Library, Kolkata | 515.8 B851 (Browse shelf(Opens below)) | Available | 135580 |
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| 515.8 B662 Primer of real functions | 515.8 B662 Primer of real functions | 515.8 B739 Convex analysis and nonlinear optimization | 515.8 B851 Real analysis : a constructive approach / | 515.8 B851 Real analysis : a constructive approach / | 515.8 B888 Differentiation of real functions | 515.8 D848 Real analysis and probability |
Includes bibliographical references (p. 295) and index.
0. Preliminaries --
1. The Real Numbers and Completeness --
2. An Inverse Function Theorem and Its Application --
3. Limits, Sequences and Series --
4. Uniform Continuity --
5. The Riemann Integral --
6. Differentiation --
7. Sequences and Series of Functions --
8. The Complex Numbers and Fourier Series--
References--
Index.
This book is both an introduction to the techniques and results of analysis as well as an introduction to mathematics itself. Through examples and elementary propositions, readers are introduced to the way mathematicians think about analysis, argue it, and write it.
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