Methods of Information Geometry by Hiroshi Nagaoka, Shun-Ichi Amari

Methods of Information Geometry



Download Methods of Information Geometry




Methods of Information Geometry Hiroshi Nagaoka, Shun-Ichi Amari
Language: English
Page: 216
Format: djvu
ISBN: 0821805312, 9780821805312
Publisher: Oxford University Press

The differential geometric formulation of analytical mechanics not only offers a new insight into Mechanics, but also provides a more rigorous formulation of its physical content from a mathematical viewpoint.Topics covered in this volume include differential forms, the differential geometry of tangent and cotangent bundles, almost tangent geometry, symplectic and pre-symplectic Lagrangian and Hamiltonian formalisms, tensors and connections on manifolds, and geometrical aspects of variational and constraint theories.The book may be considered as a self-contained text and only presupposes that readers are acquainted with linear and multilinear algebra as well as advanced calculus.

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