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Author: Shizuo Kakutani
Publisher: Springer Science & Business Media
ISBN: 9780817632786
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Works of Shizuo Kakutani, Japanese-American mathematician, best known for his eponymous fixed-point theorem.
Author: Shizuo Kakutani
Publisher: Springer Science & Business Media
ISBN: 9780817632786
Category : Mathematics
Languages : en
Pages : 480
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Book Description
Works of Shizuo Kakutani, Japanese-American mathematician, best known for his eponymous fixed-point theorem.
Author: J.A. Nohel
Publisher: Springer Science & Business Media
ISBN: 9780817638627
Category : Mathematics
Languages : en
Pages : 584
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Book Description
The deep and original ideas of Norman Levinson have had a lasting impact on fields as diverse as differential & integral equations, harmonic, complex & stochas tic analysis, and analytic number theory during more than half a century. Yet, the extent of his contributions has not always been fully recognized in the mathematics community. For example, the horseshoe mapping constructed by Stephen Smale in 1960 played a central role in the development of the modern theory of dynami cal systems and chaos. The horseshoe map was directly stimulated by Levinson's research on forced periodic oscillations of the Van der Pol oscillator, and specifi cally by his seminal work initiated by Cartwright and Littlewood. In other topics, Levinson provided the foundation for a rigorous theory of singularly perturbed dif ferential equations. He also made fundamental contributions to inverse scattering theory by showing the connection between scattering data and spectral data, thus relating the famous Gel'fand-Levitan method to the inverse scattering problem for the Schrodinger equation. He was the first to analyze and make explicit use of wave functions, now widely known as the Jost functions. Near the end of his life, Levinson returned to research in analytic number theory and made profound progress on the resolution of the Riemann Hypothesis. Levinson's papers are typically tightly crafted and masterpieces of brevity and clarity. It is our hope that the publication of these selected papers will bring his mathematical ideas to the attention of the larger mathematical community.
Author: Salomon Bochner
Publisher: American Mathematical Soc.
ISBN: 9780821870549
Category : Mathematics
Languages : en
Pages : 476
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Book Description
Collected papers of Salomon Bochner, American mathematician, known for work in mathematical analysis, probability theory and differential geometry.
Author: Norbert Wiener
Publisher: MIT Press
ISBN: 0262537842
Category : Computers
Languages : en
Pages : 353
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Book Description
A classic and influential work that laid the theoretical foundations for information theory and a timely text for contemporary informations theorists and practitioners. With the influential book Cybernetics, first published in 1948, Norbert Wiener laid the theoretical foundations for the multidisciplinary field of cybernetics, the study of controlling the flow of information in systems with feedback loops, be they biological, mechanical, cognitive, or social. At the core of Wiener's theory is the message (information), sent and responded to (feedback); the functionality of a machine, organism, or society depends on the quality of messages. Information corrupted by noise prevents homeostasis, or equilibrium. And yet Cybernetics is as philosophical as it is technical, with the first chapter devoted to Newtonian and Bergsonian time and the philosophical mixed with the technical throughout. This book brings the 1961 second edition back into print, with new forewords by Doug Hill and Sanjoy Mitter. Contemporary readers of Cybernetics will marvel at Wiener's prescience—his warnings against “noise,” his disdain for “hucksters” and “gadget worshipers,” and his view of the mass media as the single greatest anti-homeostatic force in society. This edition of Cybernetics gives a new generation access to a classic text.
Author: Flo Conway
Publisher:
ISBN: 9780465013715
Category : Biography & Autobiography
Languages : en
Pages : 476
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Book Description
Two award-winning journalists reveal the epic story of one of the 20th century's most brilliant figures--the eccentric mathematical genius Norbert Wiener, who founded the revolutionary science of cybernetics and then spent his life warning the world about its dangerous human consequences. photos.
Author: Norbert Wiener
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 0
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Book Description
Author: Norbert Wiener
Publisher: Da Capo Press
ISBN: 0306803208
Category : Computers
Languages : en
Pages : 202
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Book Description
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 between computers and the human nervous system—Wiener was widely misunderstood as one who advocated the automation of human life. As this book reveals, his vision was much more complex and interesting. He hoped that machines would release people from relentless and repetitive drudgery in order to achieve more creative pursuits. At the same time he realized the danger of dehumanizing and displacement. His book examines the implications of cybernetics for education, law, language, science, technology, as he anticipates the enormous impact—in effect, a third industrial revolution—that the computer has had on our lives.
Author: Norbert Wiener
Publisher: MIT Press
ISBN: 9780262730112
Category : Philosophy
Languages : en
Pages : 116
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Book Description
The new and rapidly growing field of communication sciences owes as much to Norbert Wiener as to any one man. He coined the word for it—cybernetics. In God & Golem, Inc., the author concerned himself with major points in cybernetics which are relevant to religious issues.The first point he considers is that of the machine which learns. While learning is a property almost exclusively ascribed to the self-conscious living system, a computer now exists which not only can be programmed to play a game of checkers, but one which can "learn" from its past experience and improve on its own game. For a time, the machine was able to beat its inventor at checkers. "It did win," writes the author, "and it did learn to win; and the method of its learning was no different in principle from that of the human being who learns to play checkers. A second point concerns machines which have the capacity to reproduce themselves. It is our commonly held belief that God made man in his own image. The propagation of the race may also be interpreted as a function in which one living being makes another in its own image. But the author demonstrates that man has made machines which are "very well able to make other machines in their own image," and these machine images are not merely pictorial representations but operative images. Can we then say: God is to Golem as man is to Machines? in Jewish legend, golem is an embryo Adam, shapeless and not fully created, hence a monster, an automation.The third point considered is that of the relation between man and machine. The concern here is ethical. "render unto man the things which are man's and unto the computer the things which are the computer's," warns the author. In this section of the book, Dr. Wiener considers systems involving elements of man and machine. The book is written for the intellectually alert public and does not involve any highly technical knowledge. It is based on lectures given at Yale, at the Société Philosophique de Royaumont, and elsewhere.
Author: Heinz von Foerster
Publisher: Springer Science & Business Media
ISBN: 0387217223
Category : Computers
Languages : en
Pages : 364
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Book Description
In these ground-breaking essays, Heinz von Foerster discusses some of the fundamental principles that govern how we know the world and how we process the information from which we derive that knowledge. The author was one of the founders of the science of cybernetics.
Author: John R. Shook
Publisher: A&C Black
ISBN: 1843710374
Category : Philosophy
Languages : en
Pages : 2759
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Book Description
The Dictionary of Modern American Philosophers includes both academic and non-academic philosophers, anda large number of female and minority thinkers whose work has been neglected. It includes those intellectualsinvolved in the development of psychology, pedagogy, sociology, anthropology, education, theology, politicalscience, and several other fields, before these disciplines came to be considered distinct from philosophy in thelate nineteenth century.Each entry contains a short biography of the writer, an exposition and analysis of his or her doctrines and ideas, abibliography of writings, and suggestions for further reading. While all the major post-Civil War philosophers arepresent, the most valuable feature of this dictionary is its coverage of a huge range of less well-known writers,including hundreds of presently obscure thinkers. In many cases, the Dictionary of Modern AmericanPhilosophers offers the first scholarly treatment of the life and work of certain writers. This book will be anindispensable reference work for scholars working on almost any aspect of modern American thought.
