Frederic Babaresco sent me the following link to this free book entitled "Information Entropy and their Geometric Structures" from the abstract:
The aim of this book is to provide an overview of current works addressing the topics of research that explore the geometric structures of information and entropy. The papers in this book includes the extended versions of a selection of the paper published in Proceedings of the 34th International Workshop on Bayesian Inference and Maximum Entropy Methods in Science and Engineering (MaxEnt 2014), Amboise, France, 21–26 September 2014. Chapter 1 of the book is a historical review of the origins of thermodynamics and information theory. Chapter 2 discusses the mathematical and physical foundations of geometric structures related to information and entropy. Lastly, Chapter 3 is dedicated to applications with numerical schemes for geometric structures of information and entropy.
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