Real and Complex Analysis Volume 1 /

• Main Author: Sinha, Rajnikant (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2018.
• Edition: 1st ed. 2018.
• Subjects: Mathematical analysis.; Analysis (Mathematics).; Analysis.

This is the first volume of the two-volume book on real and complex analysis. This volume is an introduction to measure theory and Lebesgue measure where the Riesz representation theorem is used to construct Lebesgue measure. Intended for undergraduate students of mathematics and engineering, it cov...

Table of Contents:

• Chapter 1. Lebesgue Integration
• Chapter 2. Lp-Spaces
• Chapter 3. Fourier Transforms
• Chapter 4. Holomorphic and Harmonic Functions
• Chapter 5. Conformal Mapping
• Chapter 6. Analytic Continuation
• Chapter 7. Special Functions.