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Riemannian Geometry

4th rev ed

"Riemannian Geometry" is a new and expanded edition of a highly
acclaimed and successful textbook 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 the 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 into the subject.
Instructors and students alike will find this a truly significant
contribution to education in this highly applicable and stimulating
subject.
Rezension
"This is one of the best (if even not just the best) book for those who want to get a good, smooth and quick, but yet thorough introduction to modern Riemannian geometry."
-Publicationes Mathematicae
"This is a very nice introduction to global Riemannian geometry, which leads the reader quickly to the heart of the topic. Nevertheless, classical results are also discussed on many occasions, and almost 60 pages are devoted to exercises."
-Newsletter of the EMS
"In the reviewer's opinion, this is a superb book which makes learning a real pleasure."
-Revue Romaine de Mathematiques Pures et Appliquees
"This mainstream presentation of differential geometry serves well for a course on Riemannian geometry, and it is complemented by many annotated exercises."
-Monatshefte F. Mathematik
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Produktdetails


Einband gebundene Ausgabe
Seitenzahl 300
Erscheinungsdatum 08.11.2013
Sprache Englisch
ISBN 978-0-8176-3490-2
Reihe Mathematics: Theory and Applications
Verlag Springer
Maße (L/B/H) 241/159/22 mm
Gewicht 569
Abbildungen 52 schwarzweisse Abbildungen,
Auflage 1st ed. 1992, Corr. 14th printing 2013
Verkaufsrang 11.306
Buch (gebundene Ausgabe, Englisch)
39,99
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