Real Analysis and Foundations, Fourth Edition

✍ Scribed by Steven G. Krantz

Publisher: Chapman and Hall/CRC
Year: 2017
Tongue: English
Leaves: 431
Series: Textbooks in Mathematics
Edition: 4ed.
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

✦ Table of Contents

Content: Number Systems. Sequences. Series of Numbers. Basic Topology. Limits and Continuity of Functions. Differentiation of Functions. The Integral. Sequences and Series of Functions. Elementary Transcendental Functions. Differential Equations. Introduction to Harmonic Analysis. Functions of Several Variables. Advanced Topics. Normed Linear Spaces. Appendix I: Elementary Number Systems. Appendix II: Logic and Set Theory. Appendix III: Review of Linear Algebra. Table of Notation. Glossary. Bibliography. Index.

✦ Subjects

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