Curves and Surfaces.: 2nd Edition - Couverture rigide

Montiel, Sebastiàn

Couverture rigide

ISBN 10 : 0821847635 ISBN 13 : 9780821847633

Editeur : American Mathematical Society, 2009

Synopsis

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. Indeed, this monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. The authors also cover Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature. The last chapter addresses the global geometry of curves, including periodic space curves and the four-vertices theorem for plane curves that are not necessarily convex. Besides being an introduction to the lively subject of curves and surfaces, this book can also be used as an entry to a wider study of differential geometry. It is suitable as the text for a first-year graduate course or an advanced undergraduate course.

Détails de l'édition

• Éditeur: American Mathematical Society
• Date d'édition: 2009
• Langue: anglais
• ISBN 10: 0821847635
• ISBN 13: 9780821847633
• Reliure: Relié
• Numéro d'édition: 2
• Nombre de pages: 376
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible