Advanced Differential Geometry (Revised Edition)

Author: Wang Yuan
Publisher:
Publish Date: 2005-07-25
Features: This book is part of the "." It is a calculus textbook from Harvard University, covering topics from basic vector space concepts to the fundamental theorems of classical mechanics, including multivariable calculus, exterior differentiation, and the integration of differential forms. The book's distinctive feature is that the author approaches calculus from a topological-geometric perspective, presents linear algebra in a more modern way, and closely integrates linear algebra with calculus, aligning with the contemporary trend in mathematics of combining topology, geometry, and analysis. The author's language is concise, elegant, and easy to understand, and the exercises are rich and valuable. This book is suitable for use as a reference by senior undergraduate and graduate students in mathematics, as well as by and researchers.