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Mathematics of Information

Theory and Applications of Shannon-Wiener Information

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The book delves into mathematical information theory, beginning with the Shannon-Wiener framework to quantify information through probability. It defines key concepts like message and information, progressing to countable probability spaces and Shannon entropy, illustrated through applications in statistical physics, mathematical statistics, and communication engineering. Additionally, it offers an introduction to quantum information and examines general probability spaces, emphasizing the information-theoretical analysis of dynamic systems.

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Mathematics of Information, Stefan Schäffler

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Année de publication
2024
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Titre
Mathematics of Information
Sous-titre
Theory and Applications of Shannon-Wiener Information
Langue
Anglais
Publié
2024
Format
souple
Pages
168
ISBN13
9783662691014
Séries
Évaluation
4 sur 5
Description
The book delves into mathematical information theory, beginning with the Shannon-Wiener framework to quantify information through probability. It defines key concepts like message and information, progressing to countable probability spaces and Shannon entropy, illustrated through applications in statistical physics, mathematical statistics, and communication engineering. Additionally, it offers an introduction to quantum information and examines general probability spaces, emphasizing the information-theoretical analysis of dynamic systems.