| Stochastic Calculus: Applications in Science and Engineering 2002 Edition Contributor(s): Grigoriu, Mircea (Author) |
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ISBN: 1461265010 ISBN-13: 9781461265016 Publisher: Birkhauser OUR PRICE: $94.99 Product Type: Paperback - Other Formats Published: December 2013 |
| Additional Information |
| BISAC Categories: - Mathematics | Probability & Statistics - General - Mathematics | Applied - Mathematics | Differential Equations - General |
| Dewey: 519.2 |
| Physical Information: 1.57" H x 6.14" W x 9.21" (2.40 lbs) 775 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Algebraic, differential, and integral equations are used in the applied sciences, en- gineering, economics, and the social sciences to characterize the current state of a physical, economic, or social system and forecast its evolution in time. Generally, the coefficients of and/or the input to these equations are not precisely known be- cause of insufficient information, limited understanding of some underlying phe- nomena, and inherent randonmess. For example, the orientation of the atomic lattice in the grains of a polycrystal varies randomly from grain to grain, the spa- tial distribution of a phase of a composite material is not known precisely for a particular specimen, bone properties needed to develop reliable artificial joints vary significantly with individual and age, forces acting on a plane from takeoff to landing depend in a complex manner on the environmental conditions and flight pattern, and stock prices and their evolution in time depend on a large number of factors that cannot be described by deterministic models. Problems that can be defined by algebraic, differential, and integral equations with random coefficients and/or input are referred to as stochastic problems. The main objective of this book is the solution of stochastic problems, that is, the determination of the probability law, moments, and/or other probabilistic properties of the state of a physical, economic, or social system. It is assumed that the operators and inputs defining a stochastic problem are specified. |
