Advanced Calculus

Author: Lumis
Publisher:
Publish Date: 2005-07-01
Features: This book is part of the "." It is a higher calculus textbook from Harvard University, covering topics from basic vector space concepts to fundamental theorems of classical mechanics, including multivariable calculus, exterior differentiation, and the integration of differential forms. The book's unique feature is that the author approaches calculus from a topological-geometric perspective, explains linear algebra in a more modern way, and closely integrates linear algebra with calculus, aligning with the contemporary trend of combining topology, geometry, and analysis in mathematics. The author's language is concise, elegant, and easy to understand, and the exercises are rich and valuable. This book can be used as a reference for senior undergraduate and graduate students in mathematics, as well as for educators and researchers.
This book is a higher calculus textbook from Harvard University, covering topics from basic vector space concepts to fundamental theorems of classical mechanics, including multivariable calculus, exterior differentiation, and the integration of differential forms.