An introduction to real analysis

Author(s)

    • Katznelson, Yitzhak
    • Katznelson, Yonatan R.

Bibliographic Information

An introduction to real analysis

Yitzhak Katznelson, Yonatan Katznelson

(The Sally series, . Pure and applied undergraduate texts ; 65)

American Mathematical Society, c2024

Available at  / 2 libraries

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Note

Includes index

Description and Table of Contents

Description

An Introduction to Real Analysis gives students of mathematics and related sciences an introduction to the foundations of calculus, and more generally, to the analytic way of thinking. The authors' style is a mix of formal and informal, with the intent of illustrating the practice of analysis and emphasizing the process as much as the outcome. The book is intended for use in a one- or two-term course for advanced undergraduates in mathematics and related fields who have completed two or three terms of a standard university calculus sequence.

Table of Contents

The real numbers Sequences and series The topology of the real line Continuous functions Sequences and series of functions Differentiation The Riemann integral The Lebesgue integral Appendix A. Set theory and constructing $\mathbb {R}$

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