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An Introduction to Riemannian Geometry: With Applications to Mechanics and
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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext) Paperback - 2014

by GODINHO ET.AL


From the rear cover

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.

Details

  • Title An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)
  • Author GODINHO ET.AL
  • Binding Paperback
  • Language ENG
  • Publisher Springer
  • Date 2014
  • Features Illustrated
  • ISBN 9783319086651
  • Themes
    • Aspects (Academic): Science/Technology Aspects

About the author

Leonor Godinho is professor at Instituto Superior Tcnico (Universidade de Lisboa). She regularly teaches Riemannian geometry, symplectic geometry and introductory geometry courses. Her research activity is focused on symplectic geometry and its connections to algebraic geometry and combinatorics.

Jos Natrio is professor of mathematics at Instituto Superior Tcnico (Universidade de Lisboa). He regularly lectures on differential and Riemannian geometry, geometric mechanics and mathematical relativity. His research focuses on general relativity, a subject on which he has published many research papers and a book, "General Relativity Without Calculus" (Springer, 2011).

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An Introduction to Riemannian Geometry : With Applications to Mechanics and Relativity
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An Introduction to Riemannian Geometry : With Applications to Mechanics and Relativity

by Leonor Godinho

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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity
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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity

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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)
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An Introduction to Riemannian Geometry: With Applications to Mechanics and Relativity (Universitext)

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