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An Introduction to Riemannian Geometry
Godinho, Leonor; Natario, Jose
€ 107.04
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Description for An Introduction to Riemannian Geometry
Paperback. Series: Universitext. Num Pages: 467 pages, 60 black & white illustrations, biography. BIC Classification: PBMP; PHD; PHR; PHU. Category: (P) Professional & Vocational. Dimension: 157 x 226 x 25. Weight in Grams: 666.
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 ... Read more
Show LessProduct Details
Format
Paperback
Publication date
2014
Publisher
Springer International Publishing AG Switzerland
Number of pages
467
Condition
New
Series
Universitext
Number of Pages
467
Place of Publication
Cham, Switzerland
ISBN
9783319086651
SKU
V9783319086651
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Godinho, Leonor; Natario, Jose
Leonor Godinho is professor at Instituto Superior Técnico (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. José Natário is professor of mathematics at Instituto Superior Técnico (Universidade de Lisboa). He regularly lectures on differential and Riemannian geometry, ... Read more
Reviews for An Introduction to Riemannian Geometry
From the book reviews: “The aim of the textbook is twofold. First, it is a concise and self-contained quick introduction to the basics of differential geometry, including differential forms, followed by the main ideas of Riemannian geometry. Second, the last two chapters are devoted to some interesting applications to geometric mechanics and relativity. … the book is well written ... Read more