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## Methods of Information Geometry (Softcover)"The first half of this book is devoted to a comprehensive introduction to the mathematical foundation of information geometry, including preliminaries from differential geometry, the geometry of manifolds or probability distributions, and the general theory of dual affine connections. the second half of the text provides an overview of many areas of applications, such as statistics, linear systems, information theory, quantum mechanics, convex analysis, neural networks, and affine differential geometry. The book can serve as a suitable text for a topics course for advanced undergraduates and graduate students." — From the back cover ## $54.95 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in excellent condition. It shows only slight signs of use and wear and was printed on acid-free paper.

## Description

This book is Volume 191 in the **Translations of Mathematical Monographs** from the American Mathematical Society and Oxford University Press. This monograph was translated from the Japanese by Daishi Harada.

Also from the back cover: “Information geometry proves the mathematical sciences with a new framework of analysis. It has emerged from the investigation of the natural differential geometric structure on manifolds of probability distributions, which consists of a Riemannian metric defined by the Fisher information and a one-parameter family of affine connections called the α-connections. The duality between the α-connection and the (-α)-connection together with the metric play an essential role in this geometry. This kind of duality, having emerged from manifolds of probability distributions, is ubiquitous, appearing in a variety of problems which might have no explicit relation to probability theory. Through the duality, it is possible to analyze various fundamental problems in a unified perspective.”

**Chapters**

- Elementary differential geometry
- The geometric structure of statistical models
- Dual connections
- Statistical inference and differential geometry
- The geometry of time series and linear systems
- Multiterminal information theory and statistical inference
- Information geometry for quantum systems
- Miscellaneous topics

The book concludes with Guide to the Bibliography, Bibliography, and Index.

## Details

- SKU:
- 2952
- Author:
- Amari, Shun-ichi and Hiroshi Nagaoka
- Publisher:
- American Mathematical Society and Oxford University Press
- Publish Date:
- 2000
- Format:
- Softcover
- Weight (pounds):
- 0.86
- Dimensions (W”xL”xH”):
- 7″x10″x0.45″
- ISBN-13:
- 9780821843024
- ISBN-10:
- 0821843028

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