An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity
Leonor Godinho, José NatárioUnlike many other texts on differential geometry, this textbook also offers interesting applications to geometric mechanics and general relativity.
The first part is a concise and self-contained introduction to the basics of manifolds, differential forms, metrics and curvature. The second part studies applications to mechanics and relativity including the proofs of the Hawking and Penrose singularity theorems. It can be independently used for one-semester courses in either of these subjects.
The main ideas are illustrated and further developed by numerous examples and over 300 exercises. Detailed solutions are provided for many of these exercises, making An Introduction to Riemannian Geometry ideal for self-study.
카테고리:
년:
2014
판:
2014
출판사:
Springer
언어:
english
페이지:
467
ISBN 10:
3319086650
ISBN 13:
9783319086651
시리즈:
Universitext
파일:
EPUB, 10.08 MB
IPFS:
,
english, 2014