300 p. : ill. ; 25 cm.
  • Riemannian Geometry.
  • (source: Nielsen Book Data)9780817634902 20160527
Publicationes Mathematicae "In the reviewer's opinion, this is a superb book which makes learning a real pleasure." - Revue Romaine de Mathematiques Pures et Appliquees "This main-stream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises." - Monatshefte F. Mathematik.
(source: Nielsen Book Data)9780817634902 20160527
This is a new and expanded edition of this textbook for first-year graduate students in mathematics and physics, discussing the basic language of Riemannian geometry and presenting some of its most fundamental theorems. It is elementary in that it only assumes a modest background from the readers, making it suitable for a wide variety of students and course structures. It features basic definitions and theorems, examples and numerous exercises. The book begins with the definition of a differential manifold and ends with one of the most important results in Riemmanian geometry - a proof of the Sphere Theorem.
(source: Nielsen Book Data)9783764334901 20160528
Science Library (Li and Ma)