02244nmm a2200361 u 4500001001200000003002700012005001700039007002400056008004100080020001800121100002100139245009000160250001700250260006300267300003300330505009600363653004400459653005300503653001800556653001700574653003500591653003700626653003400663653005600697653001600753710003400769041001900803989003600822490002900858856007200887082001100959520091200970EB000378090EBX0100000000000000023114200000000000000.0cr|||||||||||||||||||||130626 ||| eng a97835406988451 aMuller, Scott J.00aAsymmetry: The Foundation of InformationhElektronische Ressourcecby Scott J. Muller a1st ed. 2007 aBerlin, HeidelbergbSpringer Berlin Heidelbergc2007, 2007 aVIII, 165 pbonline resource0 aInformation -- Information and Distinguishability -- Information and Symmetry -- Conclusion aInformation and Communication, Circuits aComputational Mathematics and Numerical Analysis aCoding theory aGroup theory aComputer science / Mathematics aGroup Theory and Generalizations aCoding and Information Theory aTheoretical, Mathematical and Computational Physics aMathematics2 aSpringerLink (Online service)07aeng2ISO 639-2 bSpringeraSpringer eBooks 2005-0 aThe Frontiers Collection uhttps://doi.org/10.1007/978-3-540-69884-5?nosfx=yxVerlag3Volltext0 a003.54 aAs 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