The Mathematical Theory of Information presents a new mathematical theory of information, built on a single powerful postulate: the Law of Diminishing Information. The concept of information is here, for the first time, defined mathematically by adding this postulate to the axioms of the probability theory. The Law of Diminishing Information is founded on a fusion of two fundamental ideas: Carnap and Bar-Hillel's `Ideal Receiver' and Shannon's `Noisy Channel'. The Law of Diminishing Information is applied to information technology, game theory, legislation, logic of research, algorithmic information, chaos theory, control engineering, medical tests, and biological evolution. In physics, both the Second Law of Thermodynamics and Schrödinger's wave function are derived from the Law of Diminishing Information. Conventional information theory, that of telecommunications, is analyzed as a special case, and eight conditions for its applicability are listed. The reader will get the essential ideas to understand and use the concept of information. The Mathematical Theory of Information is suitable as a textbook in general information theory for students of technical, scientific, and mathematical subjects. The book is ideal as a supplementary textbook in traditional courses on telecommunications information theory at all levels. The website of the book is www.matheory.info.
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Inside This Book
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First Sentence:
A fundamental, but a somehow forgotten fact, is that information is always information about something. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
information measure inf, diminishing information, inf family, divergent hypothesis, indestructible points, reliability rel, deterministic transfer function, deadbeat control, different information measures, semantic information theory, convergent hypothesis, ideal receiver, triangular transformation, macroscopic observer, entropy ent, one possible message, classical information theory, information inf, measure conforming, statistical information theory, surprise function, cont measure, transactional interpretation, consecutive tails, atomic memory Key Phrases - Capitalized Phrases (CAPs): (learn more)
Karl Popper, Saint Petersburg, Albert Einstein, John von Neumann, Max Planck, Norbert Wiener, Null Hypothesis, Printed English New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
A fundamental, but a somehow forgotten fact, is that information is always information about something. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
information measure inf, diminishing information, inf family, divergent hypothesis, indestructible points, reliability rel, deterministic transfer function, deadbeat control, different information measures, semantic information theory, convergent hypothesis, ideal receiver, triangular transformation, macroscopic observer, entropy ent, one possible message, classical information theory, information inf, measure conforming, statistical information theory, surprise function, cont measure, transactional interpretation, consecutive tails, atomic memory Key Phrases - Capitalized Phrases (CAPs): (learn more)
Karl Popper, Saint Petersburg, Albert Einstein, John von Neumann, Max Planck, Norbert Wiener, Null Hypothesis, Printed English New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 100
books:
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1
book
cites this book:
- The Mathematical Theory of Communication by Claude E Shannon on 5 pages
- The Origin of Species by Charles Darwin on page 365, page 390, and Back Matter
- The Origin Of Species: 150th Anniversary Edition by Charles Darwin on page 365, page 390, and Back Matter
- On the Origin of Species (Penguin Classics) by Charles Darwin on page 365, page 390, and Back Matter
- Theoretical Physics (Dover Books on Physics) by Georg Joos in Back Matter (1), and Back Matter (2)
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- Science from Fisher Information: A Unification by B. Roy Frieden in Back Matter
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