MATHEMATICS OF INFORMATION
SCH FFLER, STEFAN
ISBN 10: 3662691019 ISBN 13: 9783662691014
Published by Springer, 2024
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Ausgehend vom Shannon-Wiener-Zugang zur mathematischen Informationstheorie beginnt das Buch mit einer Abgrenzung der Begriffe Nachricht und Information und der axiomatischen Zuordnung einer Informationsmenge zu einer Wahrscheinlichkeit. Im zweiten Teil werden abzählbare Wahrscheinlichkeitsräume untersucht, deren mittlere Informationsmenge zur Definition der Shannon-Entropie führt; dabei werden drei klassische Anwendungen der Shannon-Entropie in der statistischen Physik, der mathematischen Statistik und der Nachrichtentechnik vorgestellt, und es wird ein erster Einblick in den Bereich Quanteninformation gegeben. Der dritte Teil behandelt die informationstheoretische Analyse dynamischer Systeme.
Das Buch baut auf Bachelor-Wissen auf und legt großen Wert auf exakte Beweisführung.
About the Author:
Prof. Dr. Dr. Stefan Schäffler, University of the German Federal Armed Forces Munich, Faculty of Electrical Engineering and Information Technology, Chair of Mathematics and Operations Research.
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Title: MATHEMATICS OF INFORMATION
Publisher: Springer
Publication Date: 2024
Binding: Soft cover
Condition: NEW
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Mathematics of Information: Theory and Applications of Shannon-Wiener Information (Mathematics Study Resources)
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ISBN 10: 3662691019
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Mathematics of Information | Theory and Applications of Shannon-Wiener Information
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Taschenbuch. Condition: Neu. Mathematics of Information | Theory and Applications of Shannon-Wiener Information | Stefan Schäffler | Taschenbuch | Mathematics Study Resources | xvii | Englisch | 2024 | Springer | EAN 9783662691014 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Seller Inventory # 128853202
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Mathematics of Information
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ISBN 10: 3662691019
ISBN 13: 9783662691014
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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.The book builds on bachelor-level knowledge and is primarily intended for mathematicians and computer scientists, placing a strong emphasis on rigorous proofs. 168 pp. Englisch. Seller Inventory # 9783662691014
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Mathematics of Information
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ISBN 10: 3662691019
ISBN 13: 9783662691014
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Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -Ausgehend vom Shannon-Wiener-Zugang zur mathematischen Informationstheorie beginnt das Buch mit einer Abgrenzung der Begriffe Nachricht und Information und der axiomatischen Zuordnung einer Informationsmenge zu einer Wahrscheinlichkeit. Im zweiten Teil werden abzählbare Wahrscheinlichkeitsräume untersucht, deren mittlere Informationsmenge zur Definition der Shannon-Entropie führt; dabei werden drei klassische Anwendungen der Shannon-Entropie in der statistischen Physik, der mathematischen Statistik und der Nachrichtentechnik vorgestellt, und es wird ein erster Einblick in den Bereich Quanteninformation gegeben. Der dritte Teil behandelt die informationstheoretische Analyse dynamischer Systeme.Das Buch baut auf Bachelor-Wissen auf und legt großen Wert auf exakte Beweisführung.Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 168 pp. Englisch. Seller Inventory # 9783662691014
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Mathematik Der Information : Theory and Applications of Shannon-wiener Information
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Mathematics of Information : Theory and Applications of Shannon-Wiener Information
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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.The book builds on bachelor-level knowledge and is primarily intended for mathematicians and computer scientists, placing a strong emphasis on rigorous proofs. Seller Inventory # 9783662691014