College Mathematics Tutorial. Volume 1

Author: Jiang Dongping Jiang Huikun
Publisher:
Publish Date: 2005-07-01
Features: This book is divided into two volumes. The first volume includes limits and continuity, derivatives and differentials, applications of derivatives, indefinite integrals, definite integrals and their applications, an introduction to differential and difference equations, constant term series in series, function series, power series, and Fourier series. In the appendix, the basic concepts of hyperbolic functions, polar coordinates, and complex numbers are introduced. The second volume includes spatial analytical geometry, multivariable calculus and its applications, multiple integrals, line and surface integrals, an introduction to field theory, determinants, matrices, and vectors in linear algebra, systems of linear equations, diagonalization of matrices, and real quadratic forms. This book integrates calculus, spatial analytical geometry, and linear algebra, with a newly arranged content that emphasizes the connections between different areas of knowledge. It is more rational and concise. This book can be used as a textbook and reference for undergraduate students in science, engineering, agriculture, and medicine, except for mathematics, physics, astronomy, and other majors with particularly high mathematical requirements.