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9781258629908: Nonlinear Problems In Random Theory

Synopsis

Nonlinear Problems in Random Theory is a book written by Norbert Wiener, a renowned mathematician and one of the pioneers of cybernetics. The book deals with the application of probability theory and stochastic processes to the study of nonlinear systems. It explores the behavior of systems that exhibit randomness and nonlinearity, and how these two factors interact to produce complex and unpredictable outcomes.The book is divided into three parts. The first part introduces the basic concepts of probability theory and stochastic processes, and discusses their application to the study of nonlinear systems. The second part focuses on specific examples of nonlinear systems, including the behavior of random walks, the dynamics of nonlinear oscillators, and the analysis of stochastic differential equations. The third and final part of the book explores the application of nonlinear random theory to a range of fields, including physics, engineering, and economics.Throughout the book, Wiener emphasizes the importance of understanding the complex interplay between randomness and nonlinearity in the behavior of systems. He also emphasizes the practical applications of nonlinear random theory, and the potential for this field to contribute to the development of new technologies and scientific discoveries.Overall, Nonlinear Problems in Random Theory is a comprehensive and insightful exploration of the application of probability theory and stochastic processes to the study of nonlinear systems. It is a valuable resource for mathematicians, physicists, engineers, and anyone interested in the behavior of complex systems.Technology Press Research Monographs.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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About the Author

Norbert Wiener (1894–1964) served on the faculty in the Department of Mathematics at MIT from 1919 until his death. In 1963, he was awarded the National Medal of Science for his contributions to mathematics, engineering, and biological science. He was the author of many books, with Cybernetics: On Control and Communication in the Animal and the Machine and God and Golem: A Comment on Certain Points Where Cybernetics Impinges on Religion among the most well-known.

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