Differential Geometry and Its Applications (English Edition. 2nd Edition)

Author: John Oprey
Publisher:
Publish Date: 2005-05-01
Features: This book is an excellent textbook on differential geometry, covering a wide range of topics. It not only includes classic theories in the field but also introduces algebraic systems and Maple, as well as the practical applications of differential geometry in modern life. The book primarily introduces variational methods, optimal control theory, and differential geometry, helping readers understand various phenomena in life through these important concepts, such as the formation of soap films and the motion of particles on surfaces. Specific content includes mean curvature, completeness, the Gauss-Bonnet theorem, minimal surfaces, variational methods, and geometry. Additionally, the book contains numerous exercises with corresponding hints and solutions, along with a series of examples, definitions, and notes. This book can serve as a differential geometry textbook for university teaching programs and other science and engineering majors. For professionals, it also holds reference value.