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Stefan Schffler
Mathematics of Information
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5079102Mathematics of Informationhttps://www.gandhi.com.mx/mathematics-of-information-9783662691021/phttps://gandhi.vtexassets.com/arquivos/ids/4619750/image.jpg?v=638573132512770000546607MXNSpringer Berlin HeidelbergInStock/Ebooks/<p>Starting with the Shannon-Wiener approach to mathematical information theory, allowing a mathematical "measurement" of an amount of information, the book begins by defining the terms message and information and axiomatically assigning an amount of information to a probability. The second part explores countable probability spaces, leading to the definition of Shannon entropy based on the average amount of information; three classical applications of Shannon entropy in statistical physics, mathematical statistics, and communication engineering are presented, along with an initial glimpse into the field of quantum information. The third part is dedicated to general probability spaces, focusing on the information-theoretical analysis of dynamic systems.</p><p>The book builds on bachelor-level knowledge and is primarily intended for mathematicians and computer scientists, placing a strong emphasis on rigorous proofs.</p>...4805278Mathematics of Information546607https://www.gandhi.com.mx/mathematics-of-information-9783662691021/phttps://gandhi.vtexassets.com/arquivos/ids/4619750/image.jpg?v=638573132512770000InStockMXN99999DIEbook20249783662691021_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_<p>Starting with the Shannon-Wiener approach to mathematical information theory, allowing a mathematical "measurement" of an amount of information, the book begins by defining the terms message and information and axiomatically assigning an amount of information to a probability. The second part explores countable probability spaces, leading to the definition of Shannon entropy based on the average amount of information; three classical applications of Shannon entropy in statistical physics, mathematical statistics, and communication engineering are presented, along with an initial glimpse into the field of quantum information. The third part is dedicated to general probability spaces, focusing on the information-theoretical analysis of dynamic systems.</p><p>The book builds on bachelor-level knowledge and is primarily intended for mathematicians and computer scientists, placing a strong emphasis on rigorous proofs.</p>...9783662691021_Springer Berlin Heidelberglibro_electonico_9783662691021_9783662691021Stefan SchfflerInglésMéxico2024-08-23T00:00:00+00:002024-07-22T00:00:00+00:00Springer Berlin Heidelberg