Riemannian Geometry: Theory & Applications - Couverture rigide

Do Carmo, Manfredo P.

 
9780817634902: Riemannian Geometry: Theory & Applications

Synopsis

Riemannian Geometry is an expanded edition of a highly acclaimed and successful textbook (originally published in Portuguese) for first-year graduate students in mathematics and physics. The author's treatment goes very directly to the basic language of Riemannian geometry and immediately presents some of its most fundamental theorems. It is elementary, assuming only a modest background from readers, making it suitable for a wide variety of students and course structures. Its selection of topics has been deemed "superb" by teachers who have used the text.

A significant feature of the book is its powerful and revealing structure, beginning simply with the definition of a differentiable manifold and ending with one of the most important results in Riemannian geometry, a proof of the Sphere Theorem. The text abounds with basic definitions and theorems, examples, applications, and numerous exercises to test the student's understanding and extend knowledge and insight intothe subject. Instructors and students alike will find the work to be a significant contribution to this highly applicable and stimulating subject.

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Autres éditions populaires du même titre

9783764334901: Riemannian Geometry

Edition présentée

ISBN 10 :  3764334908 ISBN 13 :  9783764334901
Editeur : Birkhauser Verlag AG, 1991
Couverture rigide