The Mathematical Theory of Information
Title | The Mathematical Theory of Information PDF eBook |
Author | Jan Kåhre |
Publisher | Springer Science & Business Media |
Pages | 528 |
Release | 2002-06-30 |
Genre | Technology & Engineering |
ISBN | 9781402070648 |
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.
The Mathematical Theory of Communication
Title | The Mathematical Theory of Communication PDF eBook |
Author | Claude E Shannon |
Publisher | University of Illinois Press |
Pages | 141 |
Release | 1998-09-01 |
Genre | Language Arts & Disciplines |
ISBN | 025209803X |
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 Communication
Title | The Mathematical Theory of Communication PDF eBook |
Author | Claude E Shannon |
Publisher | |
Pages | 136 |
Release | 1998-09 |
Genre | Computers |
ISBN |
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.
Mathematical Foundations of Information Theory
Title | Mathematical Foundations of Information Theory PDF eBook |
Author | Aleksandr I?Akovlevich Khinchin |
Publisher | Courier Corporation |
Pages | 130 |
Release | 1957-01-01 |
Genre | Mathematics |
ISBN | 0486604349 |
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.
Information: A Very Short Introduction
Title | Information: A Very Short Introduction PDF eBook |
Author | Luciano Floridi |
Publisher | Oxford University Press |
Pages | 153 |
Release | 2010-02-25 |
Genre | Computers |
ISBN | 0199551375 |
Introduction; 1 The information revolution; 2 The language of information; 3 Mathematical information; 4 Semantic information; 5 Physical information; 6 Biological information; 7 Economic information; 8 The ethics of information; Conclusion; References.
Mathematical Theory of Entropy
Title | Mathematical Theory of Entropy PDF eBook |
Author | Nathaniel F. G. Martin |
Publisher | Cambridge University Press |
Pages | 292 |
Release | 2011-06-02 |
Genre | Computers |
ISBN | 9780521177382 |
This excellent 1981 treatment of the mathematical theory of entropy gives an accessible exposition its application to other fields.
The Theory of Information and Coding
Title | The Theory of Information and Coding PDF eBook |
Author | R. J. McEliece |
Publisher | Cambridge University Press |
Pages | 414 |
Release | 2004-07-15 |
Genre | Computers |
ISBN | 9780521831857 |
Student edition of the classic text in information and coding theory