Differential geometry of curves and surfaces

Author: docarmo/M.p. Du Carmo / Tian Chou et al.
Publisher:
Publish Date: 2005-01-01
Features: This book is an introduction to the local and global differential geometry of curves and surfaces, serving as a classic textbook for university differential geometry courses. Its content and selection are quite rich, with ample and complete exercises. Many chapters allow for extension and generalization through exercises. In terms of presentation, it differs from traditional methods in the following ways: it extensively applies fundamental knowledge of linear algebra, emphasizes basic geometric facts to some extent, and avoids getting bogged down in methodological techniques or incidental details. The book provides a detailed explanation of the differential geometry of curves and surfaces, widely utilizing fundamental knowledge of linear algebra and basic geometric facts. The content is both profound and accessible, with clear and well-organized arguments, making it suitable as a textbook or reference for advanced undergraduate differential geometry courses.