Książka Mathematics of Information Stefan Schäffler

Mathematics of Information

Theory and Applications of Shannon-Wiener Information

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy
Wysyłamy za 5-8 dni
119.06
Starting with the Shannon-Wiener approach to mathematical information theory, allowing a mathematica...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2024
strony
170
EAN
9783662691014
Enbook ID
45484380
Waga
278
Wymiary
155 x 235

Pełny opis

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.

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