Curves and Surfaces

ISBN-10: 0821847635

ISBN-13: 9780821847633

Edition: 2nd 2009 (Revised)

Authors: Sebastiï¿½n Montiel, Antonio Ros, Donald G. Babbitt

List price: $78.00

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Description:

This introductory textbook puts forth a clear and focused point of view on the differential geometry of curves and surfaces. Following the modern point of view on differential geometry, the book emphasizes the global aspects of the subject. The excellent collection of examples and exercises (with hints) will help students in learning the material. Advanced undergraduates and graduate students will find this a nice entry point to differential geometry. In order to study the global properties of curves and surfaces, it is necessary to have more sophisticated tools than are usually found in textbooks on the topic. In particular, students must have a firm grasp on certain topological theories.…

Book details

List price: $78.00
Edition: 2nd
Copyright year: 2009
Publisher: American Mathematical Society
Publication date: 7/30/2009
Binding: Hardcover
Pages: 376
Size: 7.25" wide x 10.50" long x 1.00" tall
Weight: 1.892
Language: English



Plane and space curves


Surfaces in Euclidean space


The second fundamental form Separation and orientability


Integration on surfaces Global extrinsic geometry


Intrinsic geometry of surfaces


The Gauss-Bonnet theorem Global geometry of curves


Bibliography


Index