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.
Author: Manfredo Perdigao do Carmo
Publisher: Springer
Publish Date: 1992
Edition: First Edition
ISBN: 0817634908
ISBN 13: 9780817634902
Dimension: Length: 7.4 inches, Width: 0.7 inches, Height: 8.7 inches
Weight: Weight: 1.41757234466 pounds
Binding: Hardcover
Pages: 300
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.
Author: Manfredo Perdigao do Carmo
Publisher: Springer
Publish Date: 1992
Edition: First Edition
ISBN: 0817634908
ISBN 13: 9780817634902
Dimension: Length: 7.4 inches, Width: 0.7 inches, Height: 8.7 inches
Weight: Weight: 1.41757234466 pounds
Binding: Hardcover
Pages: 300