I am not even a beginner to Ergodic Theory, but I want to start to read about it. I am coming from a math background and for me its quite important that the definitions to be stated and the formalism to be kept as concise as possible. Obviously then good intuitions on the subject is a plus. Can any body recommend me something? By browsing this the followings have been suggested:
- Invitation to Ergodic Theory by César Ernesto Silva
- Basic Ergodic Theory by Mahendra Ganpatrao Nadkarni
- Ergodic Theory by Einsiedler, Manfred, Ward, Thomas
- Ergodic Theory by Karl Petersen
- The Ergodic Theory of Discrete Simple Paths by Paul C. Sheilds
- Introduction to Ergodic Theory by Paul Helmos
- Harry Furstenberg - Recurrence in ergodic theory and combinatorial number theory
- Dynamical systems and ergodic theory – Mark Pollicott, Michiko Yuri.
- Lecture Notes by Ben Green
- "Randomness and Recurrence in Dynamical Systems" By Rodney Nillsen
As far as I could see there were no comments from the viewpoint that I am interested in a textbook; I really have hard time following physicist's approach to problem solving which usually looks very sketchy to me. Therefore I prefer a textbook far away from such approaches.