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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.
""Fourier Integral And Certain Of Its Applications"" is a mathematical text written by Norbert Wiener. The book explores the Fourier integral, a mathematical concept that allows for the representation of a function as a sum of sine and cosine waves. The author delves into the theory behind the Fourier integral and its applications in various fields, including physics, engineering, and signal processing. The text is written for advanced mathematicians and students with a strong background in calculus and mathematical analysis. The book is considered a classic in the field of mathematical analysis and is still widely referenced and studied today.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.
This scarce antiquarian book is a facsimile reprint of the original. Due to its age, it may contain imperfections such as marks, notations, marginalia and flawed pages. 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 the original work.
CYBERNETICS, in its authoritative and final Second Edition, and available in a modern and highly legible presentation - not a "facsimile edition" (photocopy) of the printing as are cheap recreations. Instead, the Quid Pro Books edition allows the reader to experience the best version of the work in a contemporary but affordable printing, not just as a facsimile or reprint. [NOTE: Only the Quid Pro edition offers these features, even if this description erroneously appears under other press's versions or older, used copies of the work.] A quality, affordable ebook version of this classic work is also available from Quid Pro Books. CYBERNETICS is on virtually everyone's short list of the most important and influential nonfiction books of the last century. First published by MIT mathematics professor Norbert Wiener in 1948, and later in its Second Edition in 1961, this groundbreaking account of systems, thought processes, AI, and the use of "feedback" foreshadowed intelligent and replicating machines, complex organizational organisms, and the physiology and failure of the human nervous system. Its 1961 Second Edition is the same version republished in many printed paperback editions since (such as the 1965 printing by MIT Press), and represents the culmination of the author's work on this project. No small wonder this has been widely read by scientists and lay readers alike, to understand the origins and future of computers, wider communication pathways, the use of feedback to refine actions and thought processes, and the logic and math behind non-linear systems. Educated readers know the term "cybernetics"; this book coined the term and created an entire field of interdisciplinary study that resonates today, and led to the "cyber"-everything that we know. Norbert Wiener, known as the "Father of Cybernetics," has influenced such fields of study as game theory, system theory, sociology, psychology and neuroscience, modern philosophy, organizational theory, and even architecture.
This is a new release of the original 1949 edition.
2013 Reprint of 1958 Edition. Full facsimile of the original edition, not reproduced with Optical Recognition Software. 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 contemplated a series of only four or five lectures. My ideas developed pari passu with the course, and by the end of the term we found ourselves with a set of fifteen lectures. The last few of these were devoted to the application of my ideas to problems in the statistical mechanics of gases. This work is both new and tentative, and I found that I had to supplement my course by the writing over of these with the help of Professer Y. W. Lee. "
The book was written from lectures given at the University of Cambridge and maintains throughout a high level of rigour whilst remaining a highly readable and lucid account. Topics covered include the Planchard theory of the existence of Fourier transforms of a function of L2 and Tauberian theorems.
Only a few books stand as landmarks in social and scientific upheaval. Norbert Wiener's classic is one in that small company. Founder of the science of cybernetics--the study of the relationship betwee
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