Stochastic Calculus: Applications in Science and Engineering - Rilegato

Grigoriu, Mircea

 
9780817642426: Stochastic Calculus: Applications in Science and Engineering

Sinossi

This work focuses on analyzing and presenting solutions for a wide range of stochastic problems that are encountered in applied mathematics, probability, physics, engineering, finance, and economics. The approach used reduces the gap between the mathematical and engineering literature. Stochastic problems are defined by algebraic, differential or integral equations with random coefficients and/or input. However, it is the type, rather than the particular field of application, that is used to categorize these problems. An introductory chapter outlines the types of stochastic problems under consideration in this book and illustrates some of their applications. A user-friendly, systematic exposition unfolds as follows: the essentials of probability theory, random processes, stochastic integration, and Monte Carlo simulation are developed in chapters two to five. The Monte Carlo method is used extensively to illustrate difficult theoretical concepts and solve numerically some of the stochastic problems in chapters six to nine.

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Dalla quarta di copertina

This work focuses on analyzing and presenting solutions for a wide range of stochastic problems that are encountered in applied mathematics, probability, physics, engineering, finance, and economics. The approach used reduces the gap between the mathematical and engineering literature. Stochastic problems are defined by algebraic, differential or integral equations with random coefficients and/or input. However, it is the type, rather than the particular field of application, that is used to categorize these problems.

An introductory chapter outlines the types of stochastic problems under consideration in this book and illustrates some of their applications. A user friendly, systematic exposition unfolds as follows:  The essentials of probability theory, random processes, stochastic integration, and Monte Carlo simulation are developed in chapters 2--5. The Monte Carlo method is used extensively to illustrate difficult theoretical concepts and solve numerically some ofthe stochastic problems in chapters 6--9.

Key features:

* Computational skills developed as needed to solve realistic stochastic problems

* Classical mathematical notation used, and essential theoretical facts boxed

* Numerous examples from applied sciences and engineering

* Complete proofs given; if too technical, notes clarify the idea and/or main steps

* Problems at the end of each chapter reinforce applications; hints given.

* Good bibliography at the end of every chapter

* Comprehensive index

This work is unique, self-contained, and far from a collection of facts and formulas. The analytical and numerical methods approach for solving stochastic problems may be used for self-study by a variety of researchers, and in the classroom by first year graduate students.

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Altre edizioni note dello stesso titolo

9781461265016: Stochastic Calculus: Applications in Science and Engineering

Edizione in evidenza

ISBN 10:  1461265010 ISBN 13:  9781461265016
Casa editrice: Birkhäuser, 2013
Brossura