Product 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 ide… More >>
Tensors and Manifolds: with Applications to Mechanics and Relativity
Tags: derivatives, differentiable manifolds, differential, distributions, geometrical structures, intermediate level, mechanics, relativity, symplectic manifolds, tensors
#1 by Gonzalo Torroba on July 2, 2010 - 5:52 am
Reviewer: Gonzalo Torroba from La Pampa, Argentina It’s and excellent book where you can see all the power and ellegancy that tensors have in physics. In “Tensors and manifolds…” you study mathematics in a clear and understandable way, knowing it’s purpose. Some little points: I think it does not have enough applications about vector calculus (Frenet formulas, scalar potentials, Maxwell equations…).I would have also preffered it to contain more about general tensor theory: pseudotensors, curvilineal coordinates, and also about Riemann spaces.
Rating: 4 / 5