Methods of information geometry (Record no. 55976)

MARC details
000 -LEADER
fixed length control field 01650 a2200277 4500
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 220223b |||||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9780821843024
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 519.5
Item number AMA
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Amari, Shun-ichi
245 ## - TITLE STATEMENT
Title Methods of information geometry
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Name of publisher, distributor, etc American Mathematical Society,
Date of publication, distribution, etc 2000.
Place of publication, distribution, etc Providence:
300 ## - PHYSICAL DESCRIPTION
Extent x, 206p.;
Other physical details pbk;
Dimensions 25cm
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE
Title Translations of mathematical monographs; Vol. 191
504 ## - BIBLIOGRAPHY, ETC. NOTE
Bibliography, etc includes bibliography and index
520 ## - SUMMARY, ETC.
Summary, etc Information geometry provides 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.<br/><br/>https://bookstore.ams.org/mmono-191
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematical statistics
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Geometry
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Differential
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element geometric structure
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element probability distribution
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element information theory
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element quantum mechanics
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Nagaoka, Hiroshi
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Harada, Daishi (Tr.)
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme Dewey Decimal Classification
Item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Collection code Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Date last borrowed Copy number Cost, replacement price Koha item type
    Dewey Decimal Classification     General IIT Gandhinagar IIT Gandhinagar 23/02/2022 3 0.00 1 519.5 AMA 031169 24/04/2023 23/03/2023 1 6683.60 Books


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