Probabilistic and Stochastic Methods in Analysis, with Applications

J. S. Byrnes

ISBN 10: 0792318048 / ISBN 13: 9780792318040

Published by Springer Netherlands, Springer Netherlands, 1992

About this Item

Druck auf Anfrage Neuware - Printed after ordering - Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here. The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives.

Seller Inventory # 9780792318040

Bibliographic Details

• Title: Probabilistic and Stochastic Methods in Analysis, with Applications
• Publisher: Springer Netherlands, Springer Netherlands
• Publication Date: 1992
• Language: English
• ISBN 10: 0792318048
• ISBN 13: 9780792318040
• Binding: Buch
• Condition: Neu
• Dimensions: 241W x 160H x 43D millimeters 241 millimeters width by 160 millimeters height by 43 millimeters depth
• Weight: 1226 grams

About this title

Synopsis

Probability has been an important part of mathematics for more than three centuries. Moreover, its importance has grown in recent decades, since the computing power now widely available has allowed probabilistic and stochastic techniques to attack problems such as speech and image processing, geophysical exploration, radar, sonar, etc. -- all of which are covered here.
The book contains three exceptionally clear expositions on wavelets, frames and their applications. A further extremely active current research area, well covered here, is the relation between probability and partial differential equations, including probabilistic representations of solutions to elliptic and parabolic PDEs. New approaches, such as the PDE method for large deviation problems, and stochastic optimal control and filtering theory, are beginning to yield their secrets. Another topic dealt with is the application of probabilistic techniques to mathematical analysis. Finally, there are clear explanations of normal numbers and dynamic systems, and the influence of probability on our daily lives.