Differential Geometry with Applications to Mechanics and Physics
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A01=Yves Talpaert
advanced calculus applications
Author_Yves Talpaert
Banach spaces analysis
Canonical Transformation
Category=PBMP
Category=PDE
Category=PH
cohomology theory
coordinates
Cotangent Bundle
diffeomorphism group
differentiable
Differentiable Manifold
Differentiable Vector Field
Differential Fonn
Differential Form Ofdegree
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eq_isMigrated=2
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Exterior Algebra
Exterior Differential
Exterior Product
field
form
Frobenius theorem
Hamilton Canonical Equations
Hamilton Jacobi Equation
IJ
Integral Curve
integration of differential forms on manifolds
Lie Algebra
Lie Derivative
local
manifold
mapping
Poisson Bracket
Riemannian Geometry
RIEMANNIAN MANIFOLDS
space
Symplectic Manifolds
tangent
Tangent Bundle
Tangent Vector Field
Tangent Vectors
tensor algebra methods
Tensor Field
vector
Vector Bundle
Vector Field
Product details
- ISBN 9780824703851
- Weight: 1050g
- Dimensions: 178 x 254mm
- Publication Date: 12 Sep 2000
- Publisher: Taylor & Francis Inc
- Publication City/Country: US
- Product Form: Hardback
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An introduction to differential geometry with applications to mechanics and physics. It covers topology and differential calculus in banach spaces; differentiable manifold and mapping submanifolds; tangent vector space; tangent bundle, vector field on manifold, Lie algebra structure, and one-parameter group of diffeomorphisms; exterior differential forms; Lie derivative and Lie algebra; n-form integration on n-manifold; Riemann geometry; and more. It includes 133 solved exercises.
