Advanced Mathematics Tutor (3rd Edition) - Volume 1

Author: Sheng Xiangyao et al.
Publisher:
Publish Date: 2003-12-01
Features: This book is primarily based on the requirements of the teaching syllabus for advanced mathematics in engineering colleges across the country. It is also a culmination of the authors' many years of teaching and tutoring experience in advanced mathematics at Tsinghua University. The book is divided into two volumes. The first volume contains 7 chapters, including Functions, Limits and Continuity, Derivatives and Differentials, Applications of Derivatives, Indefinite Integrals, Definite Integrals, and Space Analytic Geometry and Vector Algebra. Each chapter begins with "Content Summary," which outlines the main knowledge points of the section. This is followed by "Example Analysis," which dissects and guides various types of problems through methods such as analysis, explanation, questioning, and summarization. At the end of each chapter, "Exercises and Answers" are provided for readers to practice and check their understanding. This book can serve as a supplementary textbook for engineering students and self-learners of advanced mathematics, as well as a reference for teachers of advanced mathematics in engineering, non-mathematics graduate students, and secondary school mathematics teachers.