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Mathematics of Information: Theory and Applications of Shannon-Wiener Information
Paperback
Series: Mathematics Study Resources, Book 9
General ComputersGeneral MathematicsProbability & Statistics
ISBN13: 9783662691014
Publisher: Springer
Published: Jul 23 2024
Pages: 150
Weight: 0.54
Height: 0.36 Width: 6.14 Depth: 9.21
Language: English
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 gro en Wert auf exakte Beweisführung.
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