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9780486468990

Nonstandard Methods in Stochastic Analysis and Mathematical Physics

by ; ; ;
  • ISBN13:

    9780486468990

  • ISBN10:

    0486468992

  • Format: Paperback
  • Copyright: 2009-02-26
  • Publisher: Dover Publications

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Summary

TheBulletin of the American Mathematical Societyacclaimed this text as "a welcome addition" to the literature of nonstandard analysis, a field related to number theory, algebra, and topology. The first half presents a self-contained introduction to the subject, and the second part explores applications to stochastic analysis and mathematical physics. 1986 edition.

Author Biography

Sergio Albeverio is an award-winning mathematical physicist who taught in universities all over the world. Jens Erik Fenstad is a mathematician who taught at the University of Oslo and served as a member of the NATO Science Committee. Raphael Hoegh-Krohn was one of the outstanding mathematical physicists of our age. Tom Lindstrom is a professor of mathematics teaching at the University of Oslo.

Table of Contents

Preface
Part I. Basic Course
1. Calculus
2. Topology and Linear Spaces
3. Probability
Part II. Selected Applications
4. Stochastic Analysis
5. Hyperfinite Dirichlet Forms and Markov Processes
6. Topics in Differential Operators
7. Hyperfinite Lattice Models
 

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