Analysis II Third Edition /

• Main Author: Tao, Terence (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Series: Texts and Readings in Mathematics, 38
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Analysis.

This is part two of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis. Beginning with the construction of the number systems and set theory, the book dis...

Table of Contents:

• Chapter 1. Metric Spaces
• Chapter 2. Continuous functions on metric spaces
• Chapter 3. Uniform convergence
• Chapter 4. Power series
• Chapter 5. Fourier series
• Chapter 6. Several variable differential calculus
• Chapter 7. Lebesgue measure
• Chapter 8. Lebesgue integration.