The Mathematical Theory of Communication


Author: Claude E Shannon,Warren Weaver
Publisher: University of Illinois Press
ISBN: 025209803X
Category: Language Arts & Disciplines
Page: 144
View: 3744

Continue Reading →

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.

Wahrscheinlichkeitsrechnung und Statistik


Author: Robert Hafner
Publisher: Springer-Verlag
ISBN: 3709169445
Category: Mathematics
Page: 512
View: 2087

Continue Reading →

Das Buch ist eine Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik auf mittlerem mathematischen Niveau. Die Pädagogik der Darstellung unterscheidet sich in wesentlichen Teilen – Einführung der Modelle für unabhängige und abhängige Experimente, Darstellung des Suffizienzbegriffes, Ausführung des Zusammenhanges zwischen Testtheorie und Theorie der Bereichschätzung, allgemeine Diskussion der Modellentwicklung – erheblich von der anderer vergleichbarer Lehrbücher. Die Darstellung ist, soweit auf diesem Niveau möglich, mathematisch exakt, verzichtet aber bewußt und ebenfalls im Gegensatz zu vergleichbaren Texten auf die Erörterung von Meßbarkeitsfragen. Der Leser wird dadurch erheblich entlastet, ohne daß wesentliche Substanz verlorengeht. Das Buch will allen, die an der Anwendung der Statistik auf solider Grundlage interessiert sind, eine Einführung bieten, und richtet sich an Studierende und Dozenten aller Studienrichtungen, für die mathematische Statistik ein Werkzeug ist.

Die Information

Geschichte, Theorie, Flut
Author: James Gleick
Publisher: Redline Wirtschaft
ISBN: 3864142245
Category: Science
Page: 500
View: 2040

Continue Reading →

Blut, Treibstoff, Lebensprinzip - in seinem furiosen Buch erzählt Bestsellerautor James Gleick, wie die Information zum Kernstück unserer heutigen Zivilisation wurde. Beginnend bei den Wörtern, den "sprechenden" Trommeln in Afrika, über das Morsealphabet und bis hin zur Internetrevolution beleuchtet er, wie die Übermittlung von Informationen die Gesellschaften prägten und veränderten. Gleick erläutert die Theorien, die sich mit dem Codieren und Decodieren, der Übermittlung von Inhalten und dem Verbreiten der Myriaden von Botschaften beschäftigen. Er stellt die bekannten und unbekannten Pioniere der Informationsgesellschaft vor: Claude Shannon, Norbert Wiener, Ada Byron, Alan Turing und andere. Er bietet dem Leser neue Einblicke in die Mechanismen des Informationsaustausches. So lernt dieser etwa die sich selbst replizierende Meme kennen, die "DNA" der Informationen. Sein Buch ermöglicht ein neues Verständnis von Musik, Quantenmechanik - und eine gänzlich neue Sicht auf die faszinierende Welt der Informationen.

The Mathematical Theory of Information


Author: Jan Kåhre
Publisher: Springer Science & Business Media
ISBN: 1461509750
Category: Technology & Engineering
Page: 502
View: 4632

Continue Reading →

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.

Evolvodynamics - The Mathematical Theory of Economic Evolution

A Coherent Way of Interpreting Time, Scarceness, Value and Economic Growth
Author: Len H. Wallast
Publisher: Springer Science & Business Media
ISBN: 3642340563
Category: Business & Economics
Page: 279
View: 7556

Continue Reading →

Dissatisfied with the flaws of orthodox economics, the author proposes to base economic theory on the three principles of Darwinian evolution (variation, inheritance, selection). Pursuing a suggestion of E.T. Jaynes of 1991, the innovation is in treating economic behavior as chance events of selection. This involves abandoning the methods of mainstream economics and to apply instead the methods by which Claude E. Shannon analyzed information transport over a stationary channel. As economic processes are non-stationary, the author clarifies first how the Shannon-system must be reshaped in a system capable to describe economic evolution mathematically. As economic processes are non-stationary, the author first clarifies how the Shannon system must be reshaped into one capable of describing economic evolutions mathematically. Deriving the universal relations between input, output, the economic growth rate, inflation and money flow involves applying differential sets of selection, Venn diagrams, bitpulses as units of selection and the probability distributions of bitpulses. This is a thought-provocative and highly informative book of which the explanatory power goes far beyond that of traditional economics. It should be on the readers list of everyone concerned with the weal and woe of economic theorizing.

Semiotics


Author: Roland Posner,Klaus Robering,Thomas Albert Sebeok
Publisher: Walter de Gruyter
ISBN: 3110156628
Category: Language Arts & Disciplines
Page: 1003
View: 5074

Continue Reading →

Annotation "The conceptualization of sign processes in all their variations as a unitary phenomenon connecting living nature with human culture and distinguishing them both from inanimate nature may serve as a key to providing the human, social, engineering, and natu."

Claude Elwood Shannon

collected papers
Author: Claude Elwood Shannon,Neil James Alexander Sloane,Aaron D. Wyner,IEEE Information Theory Society
Publisher: Wiley-IEEE Press
ISBN: 9780780304345
Category: Biography & Autobiography
Page: 924
View: 1660

Continue Reading →

This important book, the first published collection of papers by Claude E. Shannon, is a fascinating guide to all of the published articles from this world-renowned inventor, tinkerer, puzzle-solver, prankster, and father of information theory. Includes his seminal article THE MATHEMATICAL THEORY OF COMMUNICATION.

Grundbegriffe der Wahrscheinlichkeitsrechnung


Author: A. Kolomogoroff
Publisher: Springer-Verlag
ISBN: 3642498884
Category: Mathematics
Page: 62
View: 1531

Continue Reading →

Dieser Buchtitel ist Teil des Digitalisierungsprojekts Springer Book Archives mit Publikationen, die seit den Anfängen des Verlags von 1842 erschienen sind. Der Verlag stellt mit diesem Archiv Quellen für die historische wie auch die disziplingeschichtliche Forschung zur Verfügung, die jeweils im historischen Kontext betrachtet werden müssen. Dieser Titel erschien in der Zeit vor 1945 und wird daher in seiner zeittypischen politisch-ideologischen Ausrichtung vom Verlag nicht beworben.

Das Buch des Lebens

wer schrieb den genetischen Code?
Author: Lily E. Kay
Publisher: N.A
ISBN: 9783518293461
Category: Genetic code
Page: 556
View: 7988

Continue Reading →

Information Theory

50 Years of Discovery
Author: Sergio Verdú,Steven W. McLaughlin,IEEE Information Theory Society
Publisher: Wiley-IEEE Press
ISBN: 9780780353633
Category: Technology & Engineering
Page: 758
View: 3663

Continue Reading →

Celebrating 50 years since the discovery of information theory by Claude Shannon, this book consists to the 50 best tutorials in the area compiled by the editors of the "IEEE Transactions on Information Theory." These articles cover the technologies at the heart of communications, signal processing, computer and control systems and serve as a valuable guide for all those interested in the basis for information theory.

Applications of Automata Theory and Algebra

Via the Mathematical Theory of Complexity to Biology, Physics, Psychology, Philosophy, and Games
Author: John L. Rhodes,Chrystopher L. Nehaniv
Publisher: World Scientific
ISBN: 9812836969
Category: Mathematics
Page: 274
View: 5119

Continue Reading →

This book was originally written in 1969 by Berkeley mathematician John Rhodes. It is the founding work in what is now called algebraic engineering, an emerging field created by using the unifying scheme of finite state machine models and their complexity to tie together many fields: finite group theory, semigroup theory, automata and sequential machine theory, finite phase space physics, metabolic and evolutionary biology, epistemology, mathematical theory of psychoanalysis, philosophy, and game theory. The author thus introduced a completely original algebraic approach to complexity and the understanding of finite systems. The unpublished manuscript, often referred to as "The Wild Book," became an underground classic, continually requested in manuscript form, and read by many leading researchers in mathematics, complex systems, artificial intelligence, and systems biology. Yet it has never been available in print until now. This first published edition has been edited and updated by Chrystopher Nehaniv for the 21st century. Its novel and rigorous development of the mathematical theory of complexity via algebraic automata theory reveals deep and unexpected connections between algebra (semigroups) and areas of science and engineering. Co-founded by John Rhodes and Kenneth Krohn in 1962, algebraic automata theory has grown into a vibrant area of research, including the complexity of automata, and semigroups and machines from an algebraic viewpoint, and which also touches on infinite groups, and other areas of algebra. This book sets the stage for the application of algebraic automata theory to areas outside mathematics. The material and references have been brought up to date bythe editor as much as possible, yet the book retains its distinct character and the bold yet rigorous style of the author. Included are treatments of topics such as models of time as algebra via semigroup theory; evolution-complexity relations applicable to both ontogeny and evolution; an approach to classification of biological reactions and pathways; the relationships among coordinate systems, symmetry, and conservation principles in physics; discussion of "punctuated equilibrium" (prior to Stephen Jay Gould); games; and applications to psychology, psychoanalysis, epistemology, and the purpose of life. The approach and contents will be of interest to a variety of researchers and students in algebra as well as to the diverse, growing areas of applications of algebra in science and engineering. Moreover, many parts of the book will be intelligible to non-mathematicians, including students and experts from diverse backgrounds.

Lady Luck

The Theory of Probability
Author: Warren Weaver
Publisher: Courier Corporation
ISBN: 9780486243429
Category: Mathematics
Page: 392
View: 4566

Continue Reading →

Shows the applications of probability theory in science, business, games, and everyday life

Unser mathematisches Universum

Auf der Suche nach dem Wesen der Wirklichkeit
Author: Max Tegmark
Publisher: Ullstein eBooks
ISBN: 3843710783
Category: Mathematics
Page: 520
View: 4244

Continue Reading →

„Max Tegmark, Prophet der Parallelwelten, flirtet mit der Unendlichkeit.“ ULF VON RAUCHHAUPT, FRANKFURTER ALLGEMEINE SONNTAGSZEITUNG WORUM GEHT ES? Max Tegmark entwickelt eine neue Theorie des Kosmos: Das Universum selbst ist reine Mathematik. In diesem Buch geht es um die physikalische Realität des Kosmos, um den Urknall und die „Zeit davor“ und um die Evolution des Weltalls. Welche Rollen spielen wir dabei – die Wesen, die klug genug sind, das alles verstehen zu wollen? Tegmark findet, dieses Terrain sollte nicht länger den Philosophen überlassen bleiben. Denn die Physiker von heute haben die besseren Antworten auf die ewigen Fragen. WAS IST BESONDERS? „Eine hinreißende Expedition, die jenseits des konventionellen Denkens nach der wahren Bedeutung von Realität sucht.“ BBC „Tegmark behandelt die großen Fragen der Kosmologie und der Teilchenphysik weitaus verständlicher als Stephen Hawking.“ THE TIMES WER LIEST? • Jeder, der das Universum verstehen will • Die Leser von Richard Dawkins und Markus Gabriel

Educational Technology

The Development of a Concept
Author: Alan Januszewski
Publisher: Libraries Unlimited
ISBN: 9781563087493
Category: Education
Page: 137
View: 4020

Continue Reading →

Traces the development of educational technology from its inception in the 1960s to the present in the fields of engineering, science, and audiovisual education. The author discusses the theory of educational technology and shows how the field has evolved and been systematized over the decades.