Description
Stochastic Tools in Mathematics and Science (3rd Ed., 3rd ed. 2013)
Texts in Applied Mathematics Series, Vol. 58
Authors: Chorin Alexandre J., Hald Ole H
Language: EnglishSubjects for Stochastic Tools in Mathematics and Science:
52.74 €
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Add to cart the print on demand of Chorin Alexandre J., Hald Ole H
Stochastic Tools in Mathematics and Science
Publication date: 06-2015
Support: Print on demand
Publication date: 06-2015
Support: Print on demand
73.84 €
In Print (Delivery period: 15 days).
Add to cart the book of Chorin Alexandre J., Hald Ole H
Stochastic Tools in Mathematics and Science (3rd Ed.)
Publication date: 05-2013
200 p. · 15.5x23.5 cm · Hardback
Publication date: 05-2013
200 p. · 15.5x23.5 cm · Hardback
Description
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"Stochastic Tools in Mathematics and Science" covers basic stochastic tools used in physics, chemistry, engineering and the life sciences. The topics covered include conditional expectations, stochastic processes, Brownian motion and its relation to partial differential equations, Langevin equations, the Liouville and Fokker-Planck equations, as well as Markov chain Monte Carlo algorithms, renormalization, basic statistical mechanics, and generalized Langevin equations and the Mori-Zwanzig formalism. The applications include sampling algorithms, data assimilation, prediction from partial data, spectral analysis, and turbulence. The book is based on lecture notes from a class that has attracted graduate and advanced undergraduate students from mathematics and from many other science departments at the University of California, Berkeley. Each chapter is followed by exercises. The book will be useful for scientists and engineers working in a wide range of fields and applications. For this new edition the material has been thoroughly reorganized and updated, and new sections on scaling, sampling, filtering and data assimilation, based on recent research, have been added. There are additional figures and exercises. Review of earlier edition: "This is an excellent concise textbook which can be used for self-study by graduate and advanced undergraduate students and as a recommended textbook for an introductory course on probabilistic tools in science." Mathematical Reviews, 2006
Preliminary.- Probability.- Brownian Motion.- Stationary Stochastic Processes.- Statistical Mechanics.- Index.- Time-Dependent Statistical Mechanics.
Alexandre J. Chorin is a professor of mathematics at the University of California, Berkeley who works in applied mathematics. He is known for his contributions to the field of Computational fluid dynamics. Ole Hald is a professor of mathematics at the University of California, Berkeley.
Exercises are included at the end of each chapter
An unusual feature of the book is its treatment of the effect of temporal correlations
Ideas are presented within a clean, clear, and systematic framework
Includes supplementary material: sn.pub/extras
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