Advanced Mathematics. Volume 2

Author: Tong Yujun
Publisher:
Publish Date: 2001-12-01
Features: This book is a research outcome of the project "Reform of the Curriculum and Content System of Advanced Mathematics for Non-Mathematics Majors in Science and Engineering under the 21st Century" 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 accessible to students, using rigorous mathematical language to introduce each part; guiding classic content with modern mathematical perspectives, carefully organizing and concisely processing relatively mature materials to suit the time allocation of most majors; selecting practical examples and exercises from a broad range of applications to reflect the ideas and methods of mathematical modeling. This book is the second volume, covering topics such as multivariable differential calculus, multivariable integral calculus, series, ordinary differential equations, basic probability theory, and an introduction to mathematical statistics. The first volume includes 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. This book can be used as a textbook or reference for non-mathematics majors in science and engineering at universities and colleges.