Mathematik der Information

Stefan Schäffler

Stefan Schäffler
Mathematik der Information [PDF ebook]
Theorie und Anwendungen der Shannon-Wiener Information

الدعم

غلاف Stefan Schäffler: Mathematik der Information (PDF)

Ausgehend vom Shannon-Wiener-Zugang zur mathematischen Informationstheorie, die eine mathematische ‘Messung’ einer Informationsmenge erlaubt, 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 ist allgemeinen Wahrscheinlichkeitsräumen gewidmet und behandelt insbesondere die informationstheoretische Analyse dynamischer Systeme. Das Buch baut auf Bachelor-Wissen auf und ist in erster Linie für Mathematiker und Informatiker gedacht; daher wird großer Wert auf exakte Beweisführung gelegt.

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قائمة المحتويات

Einleitung.- Symbole.- Abbildungsverzeichnis.- Teil I Grundlagen. Nachricht und Information.- Information udn Zufall.- Teil II Abzählbare Systeme. Die Entropie.- Das Maximum Entropie Prinzip.- Bedingte Wahrscheinlichkeiten.- Quanteninformation.- Teil III Allgemeine Systeme.- Die Entropie von Partitionen.- Stationäre Informationsquellen.- Dichtefunktionen und Entropie.- Bedingte Erwartungen.- Literatur.- Index.

عن المؤلف

Prof. Dr. Dr. Stefan Schäffler, Universität der Bundeswehr München, Fakultät für Elektrotechnik und Informationstechnik, Lehrstuhl für Mathematik und Operations Research.

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لغة ألمانية ● شكل PDF ● صفحات 160 ● ISBN 9783662463826 ● الناشر Springer Berlin ● مدينة Heidelberg ● بلد DE ● نشرت 2015 ● للتحميل 24 الشهور ● دقة EUR ● هوية شخصية 4121616 ● حماية النسخ Adobe DRM

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عن المؤلف

المزيد من الكتب الإلكترونية من نفس المؤلف (المؤلفين) / محرر

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