Download The Mathematical Theory of Communication PDF

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ISBN 13:
Total Pages : 125 pages
Rating : 4.3/5 (91 users)

Read and Download Claude E Shannon book The Mathematical Theory of Communication in PDF, EPub, Mobi, Kindle online. Free book TThe Mathematical Theory of Communication. This book was released on 1998-09 with total page 125 pages. Book excerpt: 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.

Download The Mathematical Theory of Information PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 1461509750
Total Pages : 502 pages
Rating : 4.4/5 (615 users)

Read and Download Jan Kåhre book The Mathematical Theory of Information in PDF, EPub, Mobi, Kindle online. Free book TThe Mathematical Theory of Information. This book was released on 2012-12-06 with total page 502 pages. Book excerpt: 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.

Download The Mathematical Theory of Coding PDF

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Publisher : Academic Press
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ISBN 13: 1483260593
Total Pages : 368 pages
Rating : 4.4/5 (832 users)

Read and Download Ian F. Blake book The Mathematical Theory of Coding in PDF, EPub, Mobi, Kindle online. Free book TThe Mathematical Theory of Coding. This book was released on 2014-05-10 with total page 368 pages. Book excerpt: The Mathematical Theory of Coding focuses on the application of algebraic and combinatoric methods to the coding theory, including linear transformations, vector spaces, and combinatorics. The publication first offers information on finite fields and coding theory and combinatorial constructions and coding. Discussions focus on self-dual and quasicyclic codes, quadratic residues and codes, balanced incomplete block designs and codes, bounds on code dictionaries, code invariance under permutation groups, and linear transformations of vector spaces over finite fields. The text then takes a look at coding and combinatorics and the structure of semisimple rings. Topics include structure of cyclic codes and semisimple rings, group algebra and group characters, rings, ideals, and the minimum condition, chains and chain groups, dual chain groups, and matroids, graphs, and coding. The book ponders on group representations and group codes for the Gaussian channel, including distance properties of group codes, initial vector problem, modules, group algebras, andrepresentations, orthogonality relationships and properties of group characters, and representation of groups. The manuscript is a valuable source of data for mathematicians and researchers interested in the mathematical theory of coding.

Download Entropy and Information Theory PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 1475739826
Total Pages : 332 pages
Rating : 4.4/5 (757 users)

Read and Download Robert M. Gray book Entropy and Information Theory in PDF, EPub, Mobi, Kindle online. Free book TEntropy and Information Theory. This book was released on 2013-03-14 with total page 332 pages. Book excerpt: This book is devoted to the theory of probabilistic information measures and their application to coding theorems for information sources and noisy channels. The eventual goal is a general development of Shannon's mathematical theory of communication, but much of the space is devoted to the tools and methods required to prove the Shannon coding theorems. These tools form an area common to ergodic theory and information theory and comprise several quantitative notions of the information in random variables, random processes, and dynamical systems. Examples are entropy, mutual information, conditional entropy, conditional information, and discrimination or relative entropy, along with the limiting normalized versions of these quantities such as entropy rate and information rate. Much of the book is concerned with their properties, especially the long term asymptotic behavior of sample information and expected information. This is the only up-to-date treatment of traditional information theory emphasizing ergodic theory.

Download Mathematical Foundations of Information Theory PDF

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Publisher : Courier Corporation
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ISBN 13: 0486604349
Total Pages : 120 pages
Rating : 4.4/5 (866 users)

Read and Download Aleksandr I?Akovlevich Khinchin book Mathematical Foundations of Information Theory in PDF, EPub, Mobi, Kindle online. Free book TMathematical Foundations of Information Theory. This book was released on 1957 with total page 120 pages. Book excerpt: 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.

Download The Mathematics of Harmony PDF

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Publisher : World Scientific
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ISBN 13: 9812775838
Total Pages : 694 pages
Rating : 4.8/5 (127 users)

Read and Download Alexey Stakhov book The Mathematics of Harmony in PDF, EPub, Mobi, Kindle online. Free book TThe Mathematics of Harmony. This book was released on 2009 with total page 694 pages. Book excerpt: Assisted by Scott Olsen ( Central Florida Community College, USA ). This volume is a result of the author's four decades of research in the field of Fibonacci numbers and the Golden Section and their applications. It provides a broad introduction to the fascinating and beautiful subject of the OC Mathematics of Harmony, OCO a new interdisciplinary direction of modern science. This direction has its origins in OC The ElementsOCO of Euclid and has many unexpected applications in contemporary mathematics (a new approach to a history of mathematics, the generalized Fibonacci numbers and the generalized golden proportions, the OC goldenOCO algebraic equations, the generalized Binet formulas, Fibonacci and OC goldenOCO matrices), theoretical physics (new hyperbolic models of Nature) and computer science (algorithmic measurement theory, number systems with irrational radices, Fibonacci computers, ternary mirror-symmetrical arithmetic, a new theory of coding and cryptography based on the Fibonacci and OC goldenOCO matrices). The book is intended for a wide audience including mathematics teachers of high schools, students of colleges and universities and scientists in the field of mathematics, theoretical physics and computer science. The book may be used as an advanced textbook by graduate students and even ambitious undergraduates in mathematics and computer science. Sample Chapter(s). Introduction (503k). Chapter 1: The Golden Section (2,459k). Contents: Classical Golden Mean, Fibonacci Numbers, and Platonic Solids: The Golden Section; Fibonacci and Lucas Numbers; Regular Polyhedrons; Mathematics of Harmony: Generalizations of Fibonacci Numbers and the Golden Mean; Hyperbolic Fibonacci and Lucas Functions; Fibonacci and Golden Matrices; Application in Computer Science: Algorithmic Measurement Theory; Fibonacci Computers; Codes of the Golden Proportion; Ternary Mirror-Symmetrical Arithmetic; A New Coding Theory Based on a Matrix Approach. Readership: Researchers, teachers and students in mathematics (especially those interested in the Golden Section and Fibonacci numbers), theoretical physics and computer science."

Download Shannon's Information Theory: the Spread of an Idea PDF

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ISBN 13:
Total Pages : 114 pages
Rating : 4.F/5 ( users)

Read and Download Randall Louis Dahling book Shannon's Information Theory: the Spread of an Idea in PDF, EPub, Mobi, Kindle online. Free book TShannon's Information Theory: the Spread of an Idea. This book was released on 1957 with total page 114 pages. Book excerpt:

Download An Introduction to Single-User Information Theory PDF

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Publisher : Springer
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ISBN 13: 9811080011
Total Pages : 323 pages
Rating : 4.8/5 (11 users)

Read and Download Fady Alajaji book An Introduction to Single-User Information Theory in PDF, EPub, Mobi, Kindle online. Free book TAn Introduction to Single-User Information Theory. This book was released on 2018-04-24 with total page 323 pages. Book excerpt: This book presents a succinct and mathematically rigorous treatment of the main pillars of Shannon’s information theory, discussing the fundamental concepts and indispensable results of Shannon’s mathematical theory of communications. It includes five meticulously written core chapters (with accompanying problems), emphasizing the key topics of information measures; lossless and lossy data compression; channel coding; and joint source-channel coding for single-user (point-to-point) communications systems. It also features two appendices covering necessary background material in real analysis and in probability theory and stochastic processes. The book is ideal for a one-semester foundational course on information theory for senior undergraduate and entry-level graduate students in mathematics, statistics, engineering, and computing and information sciences. A comprehensive instructor’s solutions manual is available.

Download Shannon's Mathematical Theory of Information: a Misapplication to Marketing Communication PDF

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ISBN 13:
Total Pages : 90 pages
Rating : 4.:/5 (19 users)

Read and Download Lorraine Gorski book Shannon's Mathematical Theory of Information: a Misapplication to Marketing Communication in PDF, EPub, Mobi, Kindle online. Free book TShannon's Mathematical Theory of Information: a Misapplication to Marketing Communication. This book was released on 2007 with total page 90 pages. Book excerpt:

Download God and the World of Signs PDF

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Publisher : BRILL
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ISBN 13: 9004187995
Total Pages : 381 pages
Rating : 4.0/5 (41 users)

Read and Download Andrew Robinson book God and the World of Signs in PDF, EPub, Mobi, Kindle online. Free book TGod and the World of Signs. This book was released on 2010-09-24 with total page 381 pages. Book excerpt: Drawing on the philosophy of C. S. Peirce, Robinson develops a ‘semiotic model’ of the Trinity and proposes a new theology of nature according to which the evolving cosmos may be understood as bearing ‘vestiges of the Trinity in creation’.

Download The mathematical theory of the steam engine PDF

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Rating : 4.R/5 (5 users)

Read and Download Thomas Baker (C.E.) book The mathematical theory of the steam engine in PDF, EPub, Mobi, Kindle online. Free book TThe mathematical theory of the steam engine. This book was released on 1875 with total page pages. Book excerpt:

Download Essentials of Mathematical Methods in Science and Engineering PDF

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Publisher : John Wiley & Sons
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ISBN 13: 1118626168
Total Pages : 802 pages
Rating : 4.1/5 (186 users)

Read and Download S. Selçuk Bayin book Essentials of Mathematical Methods in Science and Engineering in PDF, EPub, Mobi, Kindle online. Free book TEssentials of Mathematical Methods in Science and Engineering. This book was released on 2013-06-05 with total page 802 pages. Book excerpt: A complete introduction to the multidisciplinary applications ofmathematical methods In order to work with varying levels of engineering and physicsresearch, it is important to have a firm understanding of keymathematical concepts such as advanced calculus, differentialequations, complex analysis, and introductory mathematical physics.Essentials of Mathematical Methods in Science andEngineering provides a comprehensive introduction to thesemethods under one cover, outlining basic mathematical skills whilealso encouraging students and practitioners to develop new,interdisciplinary approaches to their research. The book begins with core topics from various branches ofmathematics such as limits, integrals, and inverse functions.Subsequent chapters delve into the analytical tools that arecommonly used in scientific and engineering studies, includingvector analysis, generalized coordinates, determinants andmatrices, linear algebra, complex numbers, complex analysis, andFourier series. The author provides an extensive chapter onprobability theory with applications to statistical mechanics andthermodynamics that complements the following chapter oninformation theory, which contains coverage of Shannon's theory,decision theory, game theory, and quantum information theory. Acomprehensive list of references facilitates further exploration ofthese topics. Throughout the book, numerous examples and exercises reinforcethe presented concepts and techniques. In addition, the book is ina modular format, so each chapter covers its subject thoroughly andcan be read independently. This structure affords flexibility forindividualizing courses and teaching. Providing a solid foundation and overview of the variousmathematical methods and applications in multidisciplinaryresearch, Essentials of Mathematical Methods in Science andEngineering is an excellent text for courses in physics,science, mathematics, and engineering at the upper-undergraduateand graduate levels. It also serves as a useful reference forscientists and engineers who would like a practical review ofmathematical methods.

Download Transmitting and Gaining Data PDF

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Publisher : Springer
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ISBN 13: 3319125230
Total Pages : 461 pages
Rating : 4.3/5 (191 users)

Read and Download Rudolf Ahlswede book Transmitting and Gaining Data in PDF, EPub, Mobi, Kindle online. Free book TTransmitting and Gaining Data. This book was released on 2014-11-15 with total page 461 pages. Book excerpt: The calculation of channel capacities was one of Rudolf Ahlswede's specialties and is the main topic of this second volume of his Lectures on Information Theory. Here we find a detailed account of some very classical material from the early days of Information Theory, including developments from the USA, Russia, Hungary and (which Ahlswede was probably in a unique position to describe) the German school centered around his supervisor Konrad Jacobs. These lectures made an approach to a rigorous justification of the foundations of Information Theory. This is the second of several volumes documenting Rudolf Ahlswede's lectures on Information Theory. Each volume includes comments from an invited well-known expert. In the supplement to the present volume, Gerhard Kramer contributes his insights. Classical information processing concerns the main tasks of gaining knowledge and the storage, transmission and hiding of data. The first task is the prime goal of Statistics. For transmission and hiding data, Shannon developed an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also for those working in Theoretical Computer Science, Physics, and Electrical Engineering with a background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find questions which form the basis of entire research programs.

Download Storing and Transmitting Data PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 3319054791
Total Pages : 302 pages
Rating : 4.3/5 (19 users)

Read and Download Rudolf Ahlswede book Storing and Transmitting Data in PDF, EPub, Mobi, Kindle online. Free book TStoring and Transmitting Data. This book was released on 2014-05-08 with total page 302 pages. Book excerpt: The volume “Storing and Transmitting Data” is based on Rudolf Ahlswede's introductory course on "Information Theory I" and presents an introduction to Shannon Theory. Readers, familiar or unfamiliar with the technical intricacies of Information Theory, will benefit considerably from working through the book; especially Chapter VI with its lively comments and uncensored insider views from the world of science and research offers informative and revealing insights. This is the first of several volumes that will serve as a collected research documentation of Rudolf Ahlswede’s lectures on information theory. Each volume includes comments from an invited well-known expert. Holger Boche contributed his insights in the supplement of the present volume. Classical information processing concerns the main tasks of gaining knowledge, storage, transmitting and hiding data. The first task is the prime goal of Statistics. For the two next, Shannon presented an impressive mathematical theory called Information Theory, which he based on probabilistic models. The theory largely involves the concept of codes with small error probabilities in spite of noise in the transmission, which is modeled by channels. The lectures presented in this work are suitable for graduate students in Mathematics, and also in Theoretical Computer Science, Physics, and Electrical Engineering with background in basic Mathematics. The lectures can be used as the basis for courses or to supplement courses in many ways. Ph.D. students will also find research problems, often with conjectures, that offer potential subjects for a thesis. More advanced researchers may find the basis of entire research programs.

Download Mathematical Theory and Computational Practice PDF

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Publisher : Springer Science & Business Media
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ISBN 13: 3642030734
Total Pages : 510 pages
Rating : 4.6/5 (42 users)

Read and Download Klaus Ambos-Spies book Mathematical Theory and Computational Practice in PDF, EPub, Mobi, Kindle online. Free book TMathematical Theory and Computational Practice. This book was released on 2009-07-15 with total page 510 pages. Book excerpt: This book constitutes the proceedings of the 5th Conference on Computability in Europe, CiE 2009, held in Heidelberg, Germany, during July 19-24, 2009. The 34 papers presented together with 17 invited lectures were carefully reviewed and selected from 100 submissions. The aims of the conference is to advance our theoretical understanding of what can and cannot be computed, by any means of computation. It is the largest international meeting focused on computability theoretic issues.

Download Mathematical Statistics with Applications PDF

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Publisher : Cengage Learning
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ISBN 13: 1111798788
Total Pages : 944 pages
Rating : 4.1/5 (117 users)

Read and Download Dennis Wackerly book Mathematical Statistics with Applications in PDF, EPub, Mobi, Kindle online. Free book TMathematical Statistics with Applications. This book was released on 2014-10-27 with total page 944 pages. Book excerpt: In their bestselling MATHEMATICAL STATISTICS WITH APPLICATIONS, premiere authors Dennis Wackerly, William Mendenhall, and Richard L. Scheaffer present a solid foundation in statistical theory while conveying the relevance and importance of the theory in solving practical problems in the real world. The authors' use of practical applications and excellent exercises helps students discover the nature of statistics and understand its essential role in scientific research. Important Notice: Media content referenced within the product description or the product text may not be available in the ebook version.

Download The Mathematical Theory of the Steam Engine ... New Edition, Revised PDF

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ISBN 13:
Total Pages : 12 pages
Rating : 4.0/5 (25 users)

Read and Download Thomas Baker (Civil engineer) book The Mathematical Theory of the Steam Engine ... New Edition, Revised in PDF, EPub, Mobi, Kindle online. Free book TThe Mathematical Theory of the Steam Engine ... New Edition, Revised. This book was released on 1875 with total page 12 pages. Book excerpt: