Real analysis and foundations / Steven G. Krantz.
Material type:
TextSeries: Textbooks in mathematicsPublication details: Boca Raton : CRC Press, ©2017.Edition: Fourth editionDescription: xxii, 408 pages : illustrations ; 25 cmISBN: - 9781498777681
- 515.8 23 K89
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 515.8 K89 (Browse shelf(Opens below)) | Checked out | 03/08/2025 | 138094 |
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| 515.8 K89 Real analysis and foundations | 515.8 K89 Handbook of real variables | 515.8 K89 Implicit function theorem : | 515.8 K89 Real analysis and foundations / | 515.8 L425 Theory of functions of a real variable | 515.8 L778 Real analysis via sequences and series / | 515.8 L781 Elements of the theory of real functions |
Includes bibliographical references and index.
1. Number systems --
2. Sequences --
3. Series of numbers --
4. Basic topology --
5. Limits and continuity of functions --
6. Differentiation of functions --
7. The integral --
8. Sequences of series of functions --
9. Elementary transcendental functions --
10. Differential equations --
11. Introduction to harmonic analysis --
12. Functions of several variables --
Appendices.
The new edition of this popular text is revised to meet the suggestions of users of the previous edition. A readable yet rigorous approach to an essential part of mathematical thinking, this text bridges the gap between classic theoretical texts and less rigorous ones, providing a smooth transition from logic and proofs to real analysis. Along with the basic material, the text covers Riemann-Stieltjes integrals, Fourier analysis, metric spaces and applications, and differential equations.
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