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As individual needs have arisen in the fields of physics, electrical engineering and computational science, each has created its own theories of information to serve as conceptual instruments for advancing developments. This book provides a coherent consolidation of information theories from these different fields. The author gives a survey of current theories and then introduces the underlying notion of symmetry, showing how information is related to the capacity of a system to distinguish itself. A formal methodology using group theory is employed and leads to the application of Burnside's Lemma to count distinguishable states. This provides a versatile tool for quantifying complexity and information capacity in any physical system. Written in an informal style, the book is accessible to all researchers in the fields of physics, chemistry, biology, computational science as well as many others.
List of contents
Information.- Information and Distinguishability.- Information and Symmetry.- Conclusion.
About the author
Scott Muller graduated from the University of Queensland in Chemical Engineering specialising in biotechnology. He worked in Australia and Italy in the biotechnology and pharmaceutical industries. In 2004 he received his doctorate from the University of Newcastle (Australia) where he studied the foundations of information and conducted research into the nature of "emergence". Recently he has worked on automated reasoning and expert systems in the telecommunications industry. Scott is currently developing industrial, adaptive decision-making systems using evolutionary programming techniques.
Summary
This book gathers concepts of information across diverse fields: physics, electrical engineering and computational science. It surveys current theories, discusses underlying notions of symmetry, and shows how the capacity of a system to distinguish itself relates to information. The author develops a formal methodology using group theory, leading to the application of Burnside's Lemma to count distinguishable states. This provides a tool to quantify complexity and information capacity in any physical system.
Written in an informal style, the book is equally accessible to researchers in fields of physics, chemistry, biology, computational science as well as many others.
Additional text
From the reviews:
"The author is concerned with the meaning of the term ‘information’. He discusses theories of information that arise in thermodynamics and statistical mechanics, communication theory, and in complexity theory. … The book is more a contribution to epistemology … ." (L. L. Campbell, Mathematical Reviews, Issue 2008 k)
Report
From the reviews:
"The author is concerned with the meaning of the term 'information'. He discusses theories of information that arise in thermodynamics and statistical mechanics, communication theory, and in complexity theory. ... The book is more a contribution to epistemology ... ." (L. L. Campbell, Mathematical Reviews, Issue 2008 k)
