Advanced Mathematics (Volume 1)

Author: Tong Yujun Yu Chonghua
Publisher:
Publish Date: 2003-07-01
Features: This book is the research outcome of the project "Reform of the Curriculum and Content System of Higher Mathematics for Non-Mathematics Majors in Science and Engineering under the 21st Century" funded by the Ministry of Education. Its main features include a relatively unified comprehensive treatment of analysis, algebra, geometry, and stochastic mathematics; certain limitations on the depth and breadth of the textbook to ensure it is easily understandable by students, with the use of rigorous mathematical language to introduce each part; a modern mathematical perspective to unify classic content, carefully organizing and concisely processing relatively mature materials to suit the time allocation of most majors; and the selection of practical examples and exercises across a broad range, reflecting the ideas and methods of mathematical modeling.
This is the first volume, covering topics such as limits and continuity, differentiation and derivatives, integral calculus of single-variable functions, matrices and linear equations, linear spaces and linear transformations, and spatial analytical geometry. The second volume includes multivariable differential calculus, multivariable integral calculus, series, ordinary differential equations, basic probability theory, and an introduction to mathematical statistics. This book can be used as a textbook or teaching reference for non-mathematics majors in science and engineering at universities and colleges.