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	Unavailable
ISBN 13	9783662691014
Title	Mathematics of Information
Author	Stefan Schäffler
Series	Mathematics Study Resources
Condition	Unavailable
Binding Type	Paperback
Publisher	Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Year published	2024-09-01
Number of pages	157
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable