Mathematics of Information

Mathematics of Information

by Stefan Schäffler
Epub (Kobo), Epub (Adobe)
Publication Date: 23/08/2024

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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.

ISBN:
9783662691021
9783662691021
Category:
Probability & statistics
Format:
Epub (Kobo), Epub (Adobe)
Publication Date:
23-08-2024
Language:
English
Publisher:
Springer Berlin Heidelberg

This item is delivered digitally

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