This book introduces the concepts of tensor algebras and differentiable manifolds. 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.
Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.
[A] nice and comprehensive introduction... The book is clearly written and self-contained and, in particular, the author has succeeded in combining mathematical rigor with a certain degree of informality... this work will certainly be appreciated by a wide audience. ( Frans Cantrijn, Mathematical Reviews)Contenuti:
Vector spaces; Multilinear mappings and dual spaces; Tensor product spaces; Tensors; Symmetric and skew-symmetric tensors; Exterior (Grassman) algebra; The tangent map of real cartesian spaces; Topological spaces; Differentiable manifolds; Submanifolds; Vector fields, 1-forms, and other tensor fields; Exterior differentiation and integration of differential forms; The flow, and the lie derivative of a vector field; Integrability conditions for distributions of a vector field; Integrability conditions for distributions and for Pfaffian systems; Pseudo-riemannian geometry; Connection 1-forms; Connections on manifolds; Mechanics; Additional topics in mechanics; A spacetime; Some physics on Minkowski spacetime; Einstein spacetimes; Spacetimes near an isolated star; Nonempty spacetimes.
Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.
Descrizione libro Oxford University Press. Condizione libro: New. Original Books from across the World in Brand New Condition --------- It can be shipped from U.S, Canada, Germany & India/Overseas centre subject to availability.,9780195065619. book. Codice libro della libreria SI-2016-2308
Descrizione libro Oxford University Press, 1992. Condizione libro: New. Brand New, Unread Copy in Perfect Condition. A+ Customer Service! Summary: This book is based on courses taken by advanced undergraduate and beginning graduate students in mathematics and physics at Michigan State University. The courses were intended to present an introduction to the expanse of modern mathematics and its applications in modern mathematics and its application in modern physics. This book gives an introduction perspective to young students intending to go into a field of pure mathematics, and who, with the usual 'pigeon-hold' graduate curriculum, will not get an overall perspective for several years, much less any idea of application. Codice libro della libreria ABE_book_new_0195065611
Descrizione libro Oxford University Press, 1992. Hardcover. Condizione libro: New. book. Codice libro della libreria 0195065611
Descrizione libro Oxford University Press, 1992. Hardcover. Condizione libro: New. Codice libro della libreria P110195065611
Descrizione libro Condizione libro: Brand New. Book Condition: Brand New. Codice libro della libreria 97801950656191.0
Descrizione libro Oxford University Press. Hardcover. Condizione libro: New. 0195065611 New Condition. Codice libro della libreria NEW4.0071980