Calculus. 2004 Graduate Entrance Exam Preparation Guide Series

Author: Fan Pei Hua
Publisher:
Publish Date: 2003-04-01
Features: This book is closely aligned with the exam syllabus for Mathematics III and IV, accurately reflecting exam practices. It is rich in content and divided into nine chapters. The content includes: Functions, Limits, and Continuity, Differential Calculus of Univariate Functions, Indefinite Integrals, Definite Integrals, Differential Calculus of Multivariate Functions, Multivariate Function Integration, Infinite Series, Ordinary Differential Equations, and Difference Equations. The book features an innovative structure, with each chapter organized into four parts: Exam Requirements, Key Points (important definitions, theorems, and formulas), Analysis of Typical Examples, and Practice Problems. The book presents concepts concisely, with clear problem-solving approaches. It explains typical examples from multiple perspectives, angles, and with various methods, emphasizing the understanding of fundamental concepts, training in multiple types of basic problems, and the development of comprehensive problem-solving skills. It serves as an excellent review guide and a helpful mentor for candidates preparing for postgraduate entrance exams.