Introduction to Advanced Mathematics - Volume 1

Author: Editorial Department of Advanced Mathematics, University of Science and Technology of China
Publisher:
Publish Date: 2003-06-01
Features: This "Introduction" is a general textbook for non-mathematics majors at University of Science and Technology of China, which has been continuously revised and enriched over 40 years of use. Compared to similar books, it broadens the scope, presents rigorous logical arguments for theorems and formulas, arranges content in a progressive manner, explains concepts by connecting them to real-world applications, and is easy to understand. To deepen the understanding and mastery of concepts, theorems, etc., the book includes a wealth of examples, as well as exercises and comprehensive review questions. This "Introduction" is published in three volumes. This volume covers single-variable calculus, the middle volume covers spatial analytical geometry and multivariable calculus, and the lower volume covers multiple variables and ordinary differential equations. This book is also accompanied by a study guide. This volume includes four chapters: limits of functions, differential calculus of single-variable functions, integral calculus of single-variable functions, and integrable ordinary differential equations. This "Introduction" can serve as a textbook or teaching reference for non-mathematics majors in science and engineering colleges or mathematics majors in teacher training institutions, and can also be used for self-study by readers with a certain mathematical foundation.