Mathematics of Information by Stefan Schffler

Mathematics of Information by Stefan Schffler

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.

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.

SKU	Non disponible
ISBN 13	9783662691014
Titre	Mathematics of Information
Auteur	Stefan Schäffler
Série	Mathematics Study Resources
État	Non disponible
Type de reliure	Paperback
Éditeur	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Année de publication	2024-09-01
Nombre de pages	157
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible