Mathematical Analysis: A New Approach (Volume 1)

Author: Zhang Zhusheng
Publisher:
Publish Date: 1999-02-01
Features: The predecessor of this book was the teaching material for the reform experiment of the Department of Mathematics at Peking University. The reform emphasized inspiration, the inherent unity of mathematics, and the cultivation of students' abilities. The book not only explains the basic principles of mathematical analysis but also introduces some important applications. From the introduction of concepts to the proof of theorems, the book has made meticulous arrangements, presenting traditional materials in a new way. It also includes some new materials with significant theoretical and practical meaning. The book is divided into three volumes:
Volume 1 covers: Single-variable calculus, elementary differential equations and their applications;
Volume 2 covers: Further discussions on single-variable calculus, multivariable calculus;
Volume 3 covers: Curves, surfaces, and calculus, series, and integrals with parameters.
This book can serve as a textbook or supplementary reading for the foundational courses of mathematics departments in colleges and universities, as well as a reference book for teachers in primary and secondary schools, scientists, and engineering professionals.