ABSTRACT

A Readable yet Rigorous Approach to an Essential Part of Mathematical ThinkingBack by popular demand, Real Analysis and Foundations, Third Edition 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-Stie

chapter 1|14 pages

- Number Systems

chapter 2|18 pages

- Sequences

chapter 3|30 pages

- Series of Numbers

chapter 4|22 pages

- Basic Topology

chapter 5|26 pages

- Limits and Continuity of Functions

chapter 6|22 pages

- Differentiation of Functions

chapter 7|30 pages

- The Integral

chapter 8|20 pages

- Sequences and Series of Functions

chapter 9|22 pages

- Elementary Transcendental Functions

chapter 11|30 pages

- Introduction to Harmonic Analysis

chapter 12|18 pages

- Functions of Several Variables

chapter 13|18 pages

- Advanced Topics

chapter 14|28 pages

- Normed Linear Spaces