ENGLISH

Tensors and manifolds, applications to mechanics and relativity

Book information

Publisher
Oxford University Press, USA
Year
1992
ISBN
9780195065619, 0195065611
LCC
QC20.7.C28 W37 1992
Open Library ID
OL1540630M
Language
english
Format
DJVU
Filesize
4 MB (3745626 bytes)
Pages
394\394
Library
kolxoz
DPI
300
Time added
2009-07-20 03:45:11

Description

This book introduces the concepts of tensor algebras and differentiable manifolds to the intermediate-level student. It describes analytical and geometrical structures built on these basic concepts. Those structures -- which include differential forms and their integration, flows, Lie derivatives, distributions and their integrability conditions, connections, and pseudo-Riemannian and symplectic manifolds -- are then applied to the description of the fundamental ideas and Hamiltonian and Lagrangian mechanics, and special and general relativity. This book is designed to be accessible to the mathematics or physics student with a good standard undergraduate background, who is interested in obtaining a broader perspective of the rich interplay of mathematics and physics before deciding on a specialty.

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