Theory of Semigroups and Applications (Texts and Readings in Mathematics)

Book Details

• Author: Kalyan B. Sinha

• Publisher: Hindustan Book Agency

• Language: English

• ISBN: 9789386279637

• Pages: 180

• Cover: Hardcover

• Dimensions: 9.7 x 6.5 x 0.3 inches

About the Book

"Semigroups and Their Applications" by Kalyan B. Sinha is a unique blend of a textbook and a monograph, offering a comprehensive introduction to the theory of semigroups and their applications across various domains. This book is designed to cater to a broad range of fields, including operator theory, partial differential equations, harmonic analysis, probability and statistics, as well as classical and quantum mechanics.

The author assumes that readers have a reasonable background in real analysis, including Lebesgue integration theory, basic functional analysis, and bounded linear operators. To accommodate those new to semigroup theory, the book also introduces unbounded linear operators and includes essential topics like Fourier transforms and Sobolev spaces in the appendix.

Chapters 4 through 6 cover advanced material that is rarely found in traditional textbooks, yet offers significant practical applications, including the Feynman-Kac formula, the central limit theorem, and the construction of Markov semigroups. Exercises are provided throughout the book to reinforce the topics discussed, allowing readers to actively engage with the material and deepen their understanding.

This book is an invaluable resource for anyone interested in the theory of semigroups and their practical applications in mathematics and physics, especially for students and researchers in advanced mathematics and related fields.