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Mathematik Der Information: Theorie Und Anwendungen Der Shannon-Wiener Information
Paperback
Series: Masterclass
General MathematicsPhysicsProbability & Statistics
ISBN13: 9783662463819
Publisher: Springer Nature
Published: Apr 14 2015
Pages: 160
Weight: 0.65
Height: 0.38 Width: 6.69 Depth: 9.61
Language: German
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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