Basic ergodic theory (Texts and Readings in Mathematics)

📘 Book Details

• Publisher: Hindustan Book Agency

• Author: M. G. Nadkarni

• Language: English

• Edition: 3rd Revised Edition

• ISBN: 9789380250434

• Pages: 196

• Cover: Hardcover

• Dimensions: 9.8 x 6.5 x 0.7 inches

📝 About The Book

Basic Ergodic Theory by M. G. Nadkarni is a concise and advanced-level introduction to the central concepts of ergodic theory, crafted with precision for students and researchers in mathematics and theoretical physics. Now in its 3rd revised edition, the book continues to be a trusted guide for those looking to explore the interplay between measure theory, dynamics, and entropy.

This volume offers a clear presentation of essential topics such as Liouville's Theorem on the existence of invariant measure, a comprehensive development of entropy theory, and a detailed account of the Kolmogorov–Sinai Theorem. It also includes a compelling topological dynamics proof of van der Waerden's theorem on arithmetic progressions, providing insight into the deep connections between number theory and dynamical systems.

Written with clarity and mathematical rigor, the book is suited for graduate students, academicians, and researchers, serving as both a textbook and a reference. Its structured approach and depth of content make it particularly valuable for those specializing in ergodic theory, dynamical systems, or mathematical analysis.