An Introduction to Riemannian Geometry [electronic resource] : With Applications to Mechanics and Relativity / by Leonor Godinho, José Natário.

By:

Godinho, Leonor [author.]

Contributor(s):

Material type: Text

TextSeries: UniversitextPublisher: Cham : Springer International Publishing : Imprint: Springer, 2014Description: X, 467 p. 60 illus. online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319086668

Subject(s):

Additional physical formats: Printed edition:: No titleDDC classification:

516.36 23

LOC classification:

QA641-670

Online resources:

Click here to access online

Contents:

Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity.

In: Springer eBooksSummary: 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.

Holdings ( 1 )
Title notes ( 2 )

Holdings
Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
eBook	e-Library	EBook		Available

Total holds: 0

Differentiable Manifolds -- Differential Forms -- Riemannian Manifolds -- Curvature -- Geometric Mechanics -- Relativity.

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.