Riemannian Geometry: Theory & Applications (Mathematics: Theory & Applications)

Manfredo P. do Carmo

ISBN 10: 0817634908 / ISBN 13: 9780817634902

Published by Birkhäuser, 1992

About this Item

Gebraucht - Sehr gut Leichte Lagerspuren -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. 315 pp. Englisch.

Seller Inventory # INF1001457608

Bibliographic Details

• Title: Riemannian Geometry: Theory & Applications (Mathematics: Theory & Applications)
• Publisher: Birkhäuser
• Publication Date: 1992
• Language: English
• ISBN 10: 0817634908
• ISBN 13: 9780817634902
• Binding: Gebunden
• Condition: Sehr gut
• Weight: 622 grams

About this title

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.

Language Notes

Text: English (translation)
Original Language: Portugese