Applied Stochastic Analysis

Häftad, Engelska, 2019

Del i serien Graduate Studies in Mathematics

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Beskrivning

This is a textbook for advanced undergraduate students and beginning graduate students in applied mathematics. It presents the basic mathematical foundations of stochastic analysis (probability theory and stochastic processes) as well as some important practical tools and applications (e.g., the connection with differential equations, numerical methods, path integrals, random fields, statistical physics, chemical kinetics, and rare events). The book strikes a nice balance between mathematical formalism and intuitive arguments, a style that is most suited for applied mathematicians. Readers can learn both the rigorous treatment of stochastic analysis as well as practical applications in modeling and simulation. Numerous exercises nicely supplement the main exposition.

Produktinformation

Utgivningsdatum:2019-05-30
Vikt:0 g
Format:Häftad
Språk:Engelska
Serie:Graduate Studies in Mathematics
Antal sidor:305
Förlag:American Mathematical Society
ISBN:9781470465698

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Mer om författaren

Weinan E, Princeton University, NJ.Tiejun Li, Peking University, Beijing, China.Eric Vanden-Eijnden, Courant Institute of Mathematical Sciences, New York, NY.

Recensioner i media

This book strikes a nice balance between mathematical formalism and intuitive arguments; a style that is most suited for applied mathematicians. Readers can learn both the rigorous treatment of stochastic analysis as well as practical applications in modeling and simulation."" —Peter Rabinovitch, MAA Reviews

Innehållsförteckning

Fundamentals: Random variablesLimit theoremsMarkov chainsMonte Carlo methodsStochastic processesWiener processStochastic differential equationsFokker-Planck equationAdvanced topics: Path integralRandom fieldsIntroduction to statistical mechanicsRare eventsIntroduction to chemical reaction kineticsAppendixBibliographyIndex