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Author: Leon Brillouin
Publisher: Courier Corporation
Published: 2013-07-17
Total Pages: 370
ISBN-13: 0486497550
DOWNLOAD EBOOKGeared toward upper-level undergraduates and graduate students, this classic resource by a giant of 20th-century mathematics applies principles of information theory to Maxwell's demon, thermodynamics, and measurement problems. 1962 edition.
Author: Robert M. Gray
Publisher: Springer Science & Business Media
Published: 2013-03-14
Total Pages: 346
ISBN-13: 1475739826
DOWNLOAD EBOOKThis 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.
Author: Herbert S. Green
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 248
ISBN-13: 364257162X
DOWNLOAD EBOOKIn this highly readable book, H.S. Green, a former student of Max Born and well known as an author in physics and in the philosophy of science, presents a timely analysis of theoretical physics and related fundamental problems.
Author: Solomon Kullback
Publisher: Courier Corporation
Published: 2012-09-11
Total Pages: 436
ISBN-13: 0486142043
DOWNLOAD EBOOKHighly useful text studies logarithmic measures of information and their application to testing statistical hypotheses. Includes numerous worked examples and problems. References. Glossary. Appendix. 1968 2nd, revised edition.
Author: Sean D Devine
Publisher:
Published: 2020-06-11
Total Pages: 238
ISBN-13: 9780750326414
DOWNLOAD EBOOKAlgorithmic information theory (AIT), or Kolmogorov complexity as it is known to mathematicians, can provide a useful tool for scientists to look at natural systems, however, some critical conceptual issues need to be understood and the advances already made collated and put in a form accessible to scientists. This book has been written in the hope that readers will be able to absorb the key ideas behind AIT so that they are in a better position to access the mathematical developments and to apply the ideas to their own areas of interest. The theoretical underpinning of AIT is outlined in the earlier chapters, while later chapters focus on the applications, drawing attention to the thermodynamic commonality between ordered physical systems such as the alignment of magnetic spins, the maintenance of a laser distant from equilibrium, and ordered living systems such as bacterial systems, an ecology, and an economy. Key Features Presents a mathematically complex subject in language accessible to scientists Provides rich insights into modelling far-from-equilibrium systems Emphasises applications across range of fields, including physics, biology and econophysics Empowers scientists to apply these mathematical tools to their own research
Author: Raghunath Tiruvaipati
Publisher: Educreation Publishing
Published:
Total Pages: 333
ISBN-13:
DOWNLOAD EBOOKThis book deals with information theory spanning across different areas of science such as Quantum Physics, Quantum Computing, Genetics, Thermodynamics. It describes how information underlies everything in the universe and the relationship between entropy of the universe and information. it takes into account Shannon's information theory introduced in 1948 and discusses contemprerary developments in the information theory field. it discusses how the universe originated from bigbang and how life evolved for the last 4.5 billion years that the Earth was formed. More over, it deals with new concepts in the field of quantum physics like quantum entanglement and quantum tunneling . it also discusses the possibilities of sending information at the speed of light or more than that. it describes the Boltzmann's equations for stastical systems, maxwell's daemon, turing machine. this book touches upon a little bit of mathematic equations to explain about the quantum computing, how to build quantum logic gates and further developments in that field . it talks about astronomical objects like blackholes, quasars and the thermo-dynamics operating behind them. it touches upon genetics as genes carry a huge amount of information in their DNA to shape up an organism.
Author: Aleksandr I?Akovlevich Khinchin
Publisher: Courier Corporation
Published: 1957-01-01
Total Pages: 130
ISBN-13: 0486604349
DOWNLOAD EBOOKFirst 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.
Author: Thomas M. Cover
Publisher: John Wiley & Sons
Published: 2012-11-28
Total Pages: 788
ISBN-13: 1118585771
DOWNLOAD EBOOKThe latest edition of this classic is updated with new problem sets and material The Second Edition of this fundamental textbook maintains the book's tradition of clear, thought-provoking instruction. Readers are provided once again with an instructive mix of mathematics, physics, statistics, and information theory. All the essential topics in information theory are covered in detail, including entropy, data compression, channel capacity, rate distortion, network information theory, and hypothesis testing. The authors provide readers with a solid understanding of the underlying theory and applications. Problem sets and a telegraphic summary at the end of each chapter further assist readers. The historical notes that follow each chapter recap the main points. The Second Edition features: * Chapters reorganized to improve teaching * 200 new problems * New material on source coding, portfolio theory, and feedback capacity * Updated references Now current and enhanced, the Second Edition of Elements of Information Theory remains the ideal textbook for upper-level undergraduate and graduate courses in electrical engineering, statistics, and telecommunications.
Author: Fazlollah M. Reza
Publisher:
Published: 1961
Total Pages: 532
ISBN-13:
DOWNLOAD EBOOKAuthor: John Scales Avery
Publisher: World Scientific
Published: 2021-11-24
Total Pages: 329
ISBN-13: 9811250383
DOWNLOAD EBOOKThis highly interdisciplinary book discusses the phenomenon of life, including its origin and evolution, against the background of thermodynamics, statistical mechanics, and information theory. Among the central themes is the seeming contradiction between the second law of thermodynamics and the high degree of order and complexity produced by living systems. As the author shows, this paradox has its resolution in the information content of the Gibbs free energy that enters the biosphere from outside sources. Another focus of the book is the role of information in human cultural evolution, which is also discussed with the origin of human linguistic abilities. One of the final chapters addresses the merging of information technology and biotechnology into a new discipline — bioinformation technology.This third edition has been updated to reflect the latest scientific and technological advances. Professor Avery makes use of the perspectives of famous scholars such as Professor Noam Chomsky and Nobel Laureates John O'Keefe, May-Britt Moser and Edward Moser to cast light on the evolution of human languages. The mechanism of cell differentiation, and the rapid acceleration of information technology in the 21st century are also discussed.With various research disciplines becoming increasingly interrelated today, Information Theory and Evolution provides nuance to the conversation between bioinformatics, information technology, and pertinent social-political issues. This book is a welcome voice in working on the future challenges that humanity will face as a result of scientific and technological progress.
