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Springer Information Geometry - Mathematics Survey Vol 64

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Description

Information Geometry (Volume 64) from Springer provides a comprehensive introduction to the mathematical foundations of information geometry. This text offers detailed background material on measure theory, Riemannian geometry, and Banach space theory, supported by complete proofs. The work defines parametrized measure models as fundamental geometric objects in both finite and infinite dimensions. Readers can explore canonical tensor fields, including the Fisher metric and the Amari-Chentsov tensor, alongside investigations into the embeddings of statistical manifolds. As part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, this volume serves as a rigorous resource for those studying modern mathematical surveys.

Key Features

This Springer publication is part of the Ergebnisse der Mathematik und ihrer Grenzgebiete series, specifically volume 64.

The text provides a novel mathematical foundation for information geometry with complete proofs included.

Detailed background material covers essential topics such as measure theory, Riemannian geometry, and Banach space theory.

The book explores parametrized measure models as fundamental geometric objects in finite and infinite dimensions.

Study canonical tensor fields including the Fisher metric and the Amari-Chentsov tensor within this volume.

Product Specifications

Format
hardcover
Domain
Amazon UK
Release Date
02 October 2017
Listed Since
02 March 2017

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