Calculus Five Lectures

Author: Gong Sheng
Publisher:
Publish Date: 2005-01-01
Features: This book reexamines and reinterprets calculus from the perspective of modern mathematics and the perspective of contradictions. It explains where calculus comes from, the three stages of its development, where calculus goes after being rigorously formalized, and the main contradictions in calculus. It particularly uses the perspective of exterior differential forms to clarify the main contradictions in calculus in higher-dimensional spaces. It organizes theorems and formulas in calculus from the perspective of contradictions, enabling readers to understand calculus from a higher level. This book is suitable for undergraduate and graduate students, teachers, and mathematics enthusiasts in engineering and related fields.