Advanced Mathematics Review Guide

Author: Chen Kedong
Publisher:
Publish Date: 2003-04-01
Features: The purpose of this section is to help readers comprehensively and systematically review the content of advanced mathematics. The book covers a wide range of topics, diverse types, and strong techniques, both typical and challenging, which aids readers in reviewing and reinforcing the advanced mathematics course to improve their learning level and exam performance. This book is compiled based on the basic teaching requirements for undergraduate engineering foundation courses in higher education institutions (part of advanced mathematics) and the requirements of the "Mathematics Exam Syllabus" for postgraduate entrance examinations. The book consists of 11 chapters, including functions, limits, and continuity, derivatives and differentials, mean value theorems and applications of derivatives, indefinite integrals, definite integrals and their applications, vector algebra and spatial analytical geometry, differential calculus of multivariable functions and their applications, multiple integrals, line integrals and surface integrals, infinite series, and ordinary differential equations. Each chapter is organized into four parts: content summary, key points and difficulties, example analysis, and exercises, answers, and hints.