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Nonlinear Problems in Random Theory

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ISBN-10: 026273012X

ISBN-13: 9780262730129

Edition: 1958

Authors: Norbert Wiener

List price: $22.00
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Description:

A series of lectures on the role of nonlinear processes in physics, mathematics, electrical engineering, physiology, and communication theory. From the preface: "For some time I have been interested in a group of phenomena depending upon random processes. One the one hand, I have recorded the random shot effect as a suitable input for testing nonlinear circuits. On the other hand, for some of the work that Professor W. A. Rosenblith and I have been doing concerning the nature of the electroencephalogram, and in particular of the alpha rhythm, it has occurred to me to use the model of a system of random nonlinear oscillators excited by a random input. . . . At the beginning we had…    
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Book details

List price: $22.00
Copyright year: 1958
Publisher: MIT Press
Publication date: 8/15/1966
Binding: Paperback
Pages: 142
Size: 5.25" wide x 7.75" long x 0.25" tall
Weight: 0.330
Language: English

American mathematical logician Norbert Wiener was born in Cambridge, Massachusetts. An intellectually gifted child whose father taught at Harvard University, he graduated from Tufts University at the age of 14 and received his M.A. and his Ph.D. in mathematical logic from Harvard in 1914. The following year he studied at Cambridge University under Bertrand Russell (see also Vol. 4) and Godfrey Hardy and at Gottingen University, Europe's leading centers in mathematical and physical science. During World War I, Wiener taught at the University of Maine, worked as a writer and reporter, and served as a mathematician in Aberdeen, Maryland. In 1919 Wiener joined the faculty of Massachusetts…    

Foreword
Preface
The Random Function of Time and Phase
Homogeneous Polynomial Functionals and Their Averages
Orthogonal Functions
Orthogonal Functions and Autocorrelation Functions
Application to Frequency-Modulation Problems--I
Application to Frequency-Modulation Problems--II
Application to Frequency-Modulation Problems--III
Application to the Study of Brain Waves, Random Time, and Coupled Oscillators
Some Thoughts on Quantum Theory
Nonlinear Systems--I
Nonlinear Systems--II
Coding
Decoding
A New Approach to Statistical Mechanics--I
A New Approach to Statistical Mechanics--II
Index