Introduction to riemannian geometry with applications to mechanics and relativity

By:

Godinho, Leonor

Contributor(s):

Natario, Jose [Co-author]

Series: UniversitextPublication details: Springer, 2014. Switzerland:Description: xi, 467p.;pbk. 23cmISBN:

9783319086651

Subject(s):

DDC classification:

516.373 GOD

Summary: Unlike 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. https://link.springer.com/book/10.1007/978-3-319-08666-8#about

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Holdings
Item type	Current library	Collection	Call number	Copy number	Status	Date due	Barcode
Books	IIT Gandhinagar General Stacks	General	516.373 GOD (Browse shelf(Opens below))	1	Available		031100

Includes references and index

Unlike 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.

https://link.springer.com/book/10.1007/978-3-319-08666-8#about

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