Albeverio, Sergio
Nonstandard Methods in Stochastic Analysis and Mathematical Physics
- ISBN 13:
- 9780486468990
- author:
- Albeverio, Sergio
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2009
- Pages:
- 528
- Dimensions:
- 23.1 x 15.2 x 3 cm
- Genre:
- Probability & statistics
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Nonstandard Methods in Stochastic Analysis and Mathematical Physics by Sergio Albeverio, Jens Erik Fenstad, Raphael Høegh-Krohn, and Tom Lindstrøm is a comprehensive introduction to nonstandard analysis, a field that relates to number theory, algebra, and topology. The book's first half provides a self-contained overview of the subject, while the second part explores its applications in stochastic analysis and mathematical physics. The text begins with an introduction to nonstandard calculus, singular perturbation theory, and its connections to topology and functional analysis. It then delves into the applications of nonstandard analysis to probability theory, starting with nonstandard measure theory and advancing to probability problems that can be represented by hyperfinite nonstandard models. The authors also present numerous applications to stochastic processes, mathematical physics, and other areas. This book is a valuable resource for those looking to understand the connections between nonstandard analysis and its applications in mathematics and physics.
Related Products
Related Products
Geometrical Methods of Mathematical Physics
Bernard F. Schutz
Nonstandard Notebook: Mathematically Ruled Pages for Unruly Thoughts
Chartier, Tim
Guide To Mathematical Methods For Physicists, A: With Problems And Solutions (Essential Textbooks in Physics)
Petrini, Michela
Mathematical Physics
Bitter, Francis
Mathematical Physics
P.K. Chattopadhyay