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Real analysis and foundations / Steven G. Krantz.

By: Material type: TextTextSeries: Textbooks in mathematicsPublication details: Boca Raton : CRC Press, ©2017.Edition: Fourth editionDescription: xxii, 408 pages : illustrations ; 25 cmISBN:
  • 9781498777681
Subject(s): DDC classification:
  • 515.8 23 K89
Contents:
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.
Summary: 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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Holdings
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
Total holds: 0

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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