Advanced Mathematics and Its Applications. Volume 1

Author: Tongji University
Publisher:
Publish Date: 2004-07-01
Features: This textbook is written for applied undergraduate programs and covers advanced mathematics. It aligns with the basic requirements for advanced mathematics teaching issued by the state, while maintaining systematic and comprehensive content. The theoretical depth of certain topics has been appropriately reduced, with a greater emphasis on introducing concepts, theories, methods, and examples with significant application backgrounds in calculus. The text is written in a detailed, clear, and easy-to-understand manner. The selected exercises focus on fundamental skill training rather than excessive technicality, making the textbook easy to teach and learn, and convenient for self-study. Some content in the book is marked with an asterisk () to allow instructors to flexibly adjust the material. The book is published in two volumes: Volume 1 covers functions and limits, differential calculus of single-variable functions, integral calculus of single-variable functions, and differential equations. This textbook is suitable for applied undergraduate programs and can also serve as a reference for higher vocational, technical college, and adult education programs in related fields. It highlights the introduction of concepts, theories, methods, and examples with important application backgrounds in calculus, covering functions and limits, differential calculus of single-variable functions, integral calculus of single-variable functions, and differential equations.