Asymmetry: The Foundation of Information
Muller, Scott J.
Asymmetry: The Foundation of Information [electronic resource] / by Scott J. Muller. - VIII, 165 p. online resource. - The Frontiers Collection, 1612-3018 . - The Frontiers Collection, .
Information -- Information and Distinguishability -- Information and Symmetry -- Conclusion.
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.
9783540698845
10.1007/978-3-540-69884-5 doi
Computer science.
Coding theory.
Group theory.
Mathematics.
Computer science--Mathematics.
Mathematical physics.
Computer Science.
Coding and Information Theory.
Group Theory and Generalizations.
Information and Communication, Circuits.
Mathematical and Computational Physics.
Computational Mathematics and Numerical Analysis.
QA268
003.54
Asymmetry: The Foundation of Information [electronic resource] / by Scott J. Muller. - VIII, 165 p. online resource. - The Frontiers Collection, 1612-3018 . - The Frontiers Collection, .
Information -- Information and Distinguishability -- Information and Symmetry -- Conclusion.
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.
9783540698845
10.1007/978-3-540-69884-5 doi
Computer science.
Coding theory.
Group theory.
Mathematics.
Computer science--Mathematics.
Mathematical physics.
Computer Science.
Coding and Information Theory.
Group Theory and Generalizations.
Information and Communication, Circuits.
Mathematical and Computational Physics.
Computational Mathematics and Numerical Analysis.
QA268
003.54