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The Mathematical Theory of Communication

The Mathematical Theory of Communication Author Claude Elwood Shannon
ISBN-10 OCLC:1910399
Release 1972
Pages 125
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The Mathematical Theory of Communication has been writing in one form or another for most of life. You can find so many inspiration from The Mathematical Theory of Communication also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Mathematical Theory of Communication book for free.



The Mathematical Theory of Communication

The Mathematical Theory of Communication Author Claude Elwood Shannon
ISBN-10 OCLC:1910399
Release 1971
Pages 125
Download Link Click Here

The Mathematical Theory of Communication has been writing in one form or another for most of life. You can find so many inspiration from The Mathematical Theory of Communication also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Mathematical Theory of Communication book for free.



The Mathematical Theory of Communication

The Mathematical Theory of Communication Author Claude Elwood Shannon
ISBN-10 STANFORD:36105024124401
Release 1949
Pages 117
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The Mathematical Theory of Communication has been writing in one form or another for most of life. You can find so many inspiration from The Mathematical Theory of Communication also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Mathematical Theory of Communication book for free.



The Mathematical Theory of Communication

The Mathematical Theory of Communication Author
ISBN-10 OCLC:867443649
Release 1949
Pages 117
Download Link Click Here

The Mathematical Theory of Communication has been writing in one form or another for most of life. You can find so many inspiration from The Mathematical Theory of Communication also informative, and entertaining. Click DOWNLOAD or Read Online button to get full The Mathematical Theory of Communication book for free.



The Mathematical Theory of Communication

The Mathematical Theory of Communication Author Claude E Shannon
ISBN-10 9780252098031
Release 1998-09-01
Pages 144
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Scientific knowledge grows at a phenomenal pace--but few books have had as lasting an impact or played as important a role in our modern world as The Mathematical Theory of Communication, published originally as a paper on communication theory more than fifty years ago. Republished in book form shortly thereafter, it has since gone through four hardcover and sixteen paperback printings. It is a revolutionary work, astounding in its foresight and contemporaneity. The University of Illinois Press is pleased and honored to issue this commemorative reprinting of a classic.



The Mathematical Theory of Information

The Mathematical Theory of Information Author Jan Kåhre
ISBN-10 9781461509752
Release 2012-12-06
Pages 502
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The general concept of information is here, for the first time, defined mathematically by adding one single axiom to the probability theory. This Mathematical Theory of Information is explored in fourteen chapters: 1. Information can be measured in different units, in anything from bits to dollars. We will here argue that any measure is acceptable if it does not violate the Law of Diminishing Information. This law is supported by two independent arguments: one derived from the Bar-Hillel ideal receiver, the other is based on Shannon's noisy channel. The entropy in the 'classical information theory' is one of the measures conforming to the Law of Diminishing Information, but it has, however, properties such as being symmetric, which makes it unsuitable for some applications. The measure reliability is found to be a universal information measure. 2. For discrete and finite signals, the Law of Diminishing Information is defined mathematically, using probability theory and matrix algebra. 3. The Law of Diminishing Information is used as an axiom to derive essential properties of information. Byron's law: there is more information in a lie than in gibberish. Preservation: no information is lost in a reversible channel. Etc. The Mathematical Theory of Information supports colligation, i. e. the property to bind facts together making 'two plus two greater than four'. Colligation is a must when the information carries knowledge, or is a base for decisions. In such cases, reliability is always a useful information measure. Entropy does not allow colligation.



Mathematical Foundations for Signal Processing Communications and Networking

Mathematical Foundations for Signal Processing  Communications  and Networking Author Erchin Serpedin
ISBN-10 9781439855140
Release 2017-12-04
Pages 858
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Mathematical Foundations for Signal Processing, Communications, and Networking describes mathematical concepts and results important in the design, analysis, and optimization of signal processing algorithms, modern communication systems, and networks. Helping readers master key techniques and comprehend the current research literature, the book offers a comprehensive overview of methods and applications from linear algebra, numerical analysis, statistics, probability, stochastic processes, and optimization. From basic transforms to Monte Carlo simulation to linear programming, the text covers a broad range of mathematical techniques essential to understanding the concepts and results in signal processing, telecommunications, and networking. Along with discussing mathematical theory, each self-contained chapter presents examples that illustrate the use of various mathematical concepts to solve different applications. Each chapter also includes a set of homework exercises and readings for additional study. This text helps readers understand fundamental and advanced results as well as recent research trends in the interrelated fields of signal processing, telecommunications, and networking. It provides all the necessary mathematical background to prepare students for more advanced courses and train specialists working in these areas.



Lady Luck

Lady Luck Author Warren Weaver
ISBN-10 9780486150918
Release 2012-06-11
Pages 400
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This witty, nontechnical introduction to probability elucidates such concepts as permutations, independent events, mathematical expectation, the law of averages and more. No advanced math required. 49 drawings.



Number Theory in Science and Communication

Number Theory in Science and Communication Author Manfred Schroeder
ISBN-10 9783540852971
Release 2008-11-06
Pages 431
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"Number Theory in Science and Communication" is a well-known introduction for non-mathematicians to this fascinating and useful branch of applied mathematics . It stresses intuitive understanding rather than abstract theory and highlights important concepts such as continued fractions, the golden ratio, quadratic residues and Chinese remainders, trapdoor functions, pseudo primes and primitive elements. Their applications to problems in the real world are one of the main themes of the book. This revised fifth edition is augmented by recent advances in coding theory, permutations and derangements and a chapter in quantum cryptography. From reviews of earlier editions – "I continue to find [Schroeder’s] Number Theory a goldmine of valuable information. It is a marvelous book, in touch with the most recent applications of number theory and written with great clarity and humor.’ Philip Morrison (Scientific American) "A light-hearted and readable volume with a wide range of applications to which the author has been a productive contributor – useful mathematics outside the formalities of theorem and proof." Martin Gardner



A Mathematical Theory of Evidence

A Mathematical Theory of Evidence Author Glenn Shafer
ISBN-10 9780691100425
Release 1976-04-21
Pages 297
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Both in science and in practical affairs we reason by combining facts only inconclusively supported by evidence. Building on an abstract understanding of this process of combination, this book constructs a new theory of epistemic probability. The theory draws on the work of A. P. Dempster but diverges from Depster's viewpoint by identifying his "lower probabilities" as epistemic probabilities and taking his rule for combining "upper and lower probabilities" as fundamental. The book opens with a critique of the well-known Bayesian theory of epistemic probability. It then proceeds to develop an alternative to the additive set functions and the rule of conditioning of the Bayesian theory: set functions that need only be what Choquet called "monotone of order of infinity." and Dempster's rule for combining such set functions. This rule, together with the idea of "weights of evidence," leads to both an extensive new theory and a better understanding of the Bayesian theory. The book concludes with a brief treatment of statistical inference and a discussion of the limitations of epistemic probability. Appendices contain mathematical proofs, which are relatively elementary and seldom depend on mathematics more advanced that the binomial theorem.



Integration Measure and Probability

Integration  Measure and Probability Author H. R. Pitt
ISBN-10 9780486488158
Release 2012-03
Pages 110
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Introductory treatment develops the theory of integration in a general context, making it applicable to other branches of analysis. More specialized topics include convergence theorems and random sequences and functions. 1963 edition.



Mathematical Foundations of Information Theory

Mathematical Foundations of Information Theory Author Aleksandr I?Akovlevich Khinchin
ISBN-10 9780486604343
Release 1957
Pages 120
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First comprehensive introduction to information theory explores the work of Shannon, McMillan, Feinstein, and Khinchin. Topics include the entropy concept in probability theory, fundamental theorems, and other subjects. 1957 edition.



Communication Complexity

Communication Complexity Author Eyal Kushilevitz
ISBN-10 052102983X
Release 2006-11-02
Pages 208
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Many aspects of the internal and external workings of computers can be viewed as a series of communication processes. Communication complexity is the mathematical theory of such communication processes. It is also often used as an abstract model of other aspects of computation. This book surveys this mathematical theory, concentrating on the question of how much communication is necessary for any particular process. The first part of the book is devoted to the simple two-party model introduced by Yao in 1979, which is still the most widely studied model. The second part treats newer models developed to deal with more complicated communication processes. Finally, applications of these models, including computer networks, VLSI circuits, and data structures, are treated in the third part of the book. This is an essential resource for graduate students and researchers in theoretical computer science, circuits, networks and information theory.



A Mind at Play

A Mind at Play Author Jimmy Soni
ISBN-10 9781476766706
Release 2017-07-18
Pages 384
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“A charming account of one of the twentieth century’s most distinguished scientists…a modern-day Da Vinci” (Fortune) whose insights stand behind every computer built, email sent, video streamed, and webpage loaded—“without Shannon, the digital revolution would have ground to a halt” (The Wall Street Journal). Claude Shannon was a groundbreaking polymath, a brilliant tinkerer, and a digital pioneer. He constructed a fleet of customized unicycles and a flamethrowing trumpet, outfoxed Vegas casinos, and built juggling robots. He also wrote the seminal text of the digital revolution, which has been called “the Magna Carta of the Information Age.” His discoveries would lead contemporaries to compare him to Albert Einstein and Isaac Newton. His work anticipated by decades the world we’d be living in today—and gave mathematicians and engineers the tools to bring that world to pass. In this “welcome and inspiring account of a largely unsung hero” (Kirkus Reviews), Jimmy Soni and Rob Goodman reveal Claude Shannon’s full story for the first time. It’s the story of a small-town Michigan boy whose career stretched from the era of room-sized computers powered by gears and string to the age of Apple. It’s the story of the origins of our digital world in the tunnels of MIT and the “idea factory” of Bell Labs, in the “scientists’ war” with Nazi Germany, and in the work of Shannon’s collaborators and rivals, thinkers like Alan Turing, John von Neumann, Vannevar Bush, and Norbert Wiener. And it’s the story of Shannon’s life as an often reclusive, always playful genius. “We owe Claude Shannon a lot, and Soni and Goodman’s book takes a big first step in paying that debt” (San Francisco Review of Books). With access to Shannon’s family and friends, A Mind at Play is “a boon for those eager to know more about his incredibly influential life—whimsical, independent and curiosity-driven...a vivid portrayal” (Nature).



The Mathematical Theory of Nonblocking Switching Networks

The Mathematical Theory of Nonblocking Switching Networks Author Frank Hwang
ISBN-10 9810233116
Release 1998
Pages 151
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This is the first book to cover comprehensively the mathematical theory of nonblocking switching networks since Bene?' book published 30 years ago. Not only is the material on the classical theory of nonblocking and rearrangeable networks updated, but the modern topics on multicast and multirate switching are also surveyed. The author had spent more than 25 years working on switching networks at Bell Laboratories before he started teaching the course at Chiao-Tung University. He has published about 40 papers and obtained a dozen patents on multistage interconnection networks.



An Introduction to Information Theory

An Introduction to Information Theory Author John R. Pierce
ISBN-10 9780486134970
Release 2012-04-26
Pages 336
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Covers encoding and binary digits, entropy, language and meaning, efficient encoding and the noisy channel, and explores ways in which information theory relates to physics, cybernetics, psychology, and art. 1980 edition.



Information Theory

Information Theory Author Robert B. Ash
ISBN-10 9780486141459
Release 2012-06-14
Pages 352
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DIVAnalysis of channel models and proof of coding theorems; study of specific coding systems; and study of statistical properties of information sources. Sixty problems, with solutions. Advanced undergraduate to graduate level. /div