Advanced Mathematics Exercise Book (Revised Edition 1996)

Author: Department of Applied Mathematics, Tongji University
Publisher:
Publish Date: 2003-05-01
Features: This book consists of exercises and solutions with hints for twelve chapters, including Functions and Limits, Derivatives and Differentials, Mean Value Theorems and Applications of Derivatives, Indefinite Integrals, Definite Integrals, Applications of Definite Integrals, Space Analytic Geometry and Vector Algebra, Partial Derivatives of Multivariable Functions and Their Applications, Multiple Integrals, Line Integrals and Surface Integrals, Infinite Series, and Differential Equations. Additionally, it includes eight appendices. The exercise set contains a total of 2,416 problems (excluding sub-problems), with approximately 30% derived from the 1965 revision and 70% newly written. It is designed to complement the textbook Advanced Mathematics (4th Edition) edited by the Mathematics Teaching and Research Group of Tongji University, with a sequence largely aligned. The problems are categorized into three levels—A, B, and C—accounting for approximately 43%, 47%, and 10% of the total, respectively, catering to the varying requirements of different disciplines.