Advanced Calculus (Revised Edition)

Author: (USA) Loomis, (USA) Sternberg
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 fundamental theorems of classical mechanics, including multivariable calculus, exterior calculus, and the integration of differential forms. The book's unique feature is that the authors approach calculus from a topological-geometric perspective, present linear algebra in a more modern way, and closely integrate linear algebra with calculus, aligning with the contemporary trend in mathematics of combining topology, geometry, and analysis. The authors' language is concise, elegant, and easy to understand, and the exercises are rich and valuable. This book is suitable for senior undergraduate and graduate students in mathematics as a reference, as well as for teachers and researchers.