Advanced Mathematics (Volume 1) (Fifth Edition) (Tongji University School of Applied Mathematics): (Tongji University School of Applied Mathematics)

Author: Department of Applied Mathematics, Tongji University
Publisher:
Publish Date: 2005-06-01
Features: This fifth edition is a comprehensive revision based on the fourth edition, developed in accordance with the spirit of teaching reform and the new requirements of textbook reform. In the revision, to better align with the Chinese mathematics curriculum, the concept of functions is introduced from general sets and mappings. To cultivate students' abilities and mathematical literacy, some modern mathematical ideas, language, and methods are integrated. Certain content has been appropriately streamlined and combined, and the text has been simplified. Some mathematical notations and symbols have been introduced. Practical examples and exercises on the applications of differentiation in science and technology, economic management, and daily life have been added. This makes the content and system more complete and facilitates self-study. The book is published in two volumes. The first volume covers functions and limits, differentiation rules of functions, the mean value theorem of differentiation and its applications, indefinite integrals, definite integrals, applications of definite integrals, spatial analytical geometry and vector algebra. At the end of the book, there are brief introductions to second- and third-order determinants, several commonly used curves, integral tables, and answers and hints for exercises. The second volume covers differentiation of multivariable functions and its applications, multiple integrals, line integrals and surface integrals, infinite series, and differential equations. At the end of the book, there are answers and hints for exercises. While ensuring the basic requirements of teaching, this book expands its applicability and flexibility, making it suitable for students of different disciplines in higher engineering colleges.