Tutoring for Undergraduate Mathematical Competitions and Graduate Entrance Exams

Author: Gui Wenhao
Publisher:
Publish Date: 2002-06-01
Features: This book is primarily aimed at college students with a solid foundation in mathematics and math enthusiasts who wish to improve their mathematical skills and knowledge, prepare for math competitions, and study for research entrance exams. The book is structured in thematic chapters, grouping related knowledge into specific topics to enhance analytical and problem-solving abilities, broaden perspectives, and stimulate creative thinking. The chapters include Limits, Mean Value Theorems in Calculus, Inequalities, Reverse Thinking Methods, Multiple Integrals, Line Integrals and Surface Integrals, Series, Functional Equations and Differential Equations, Selected Topics in Mathematics, and Appendices. The writing aims for strong practicality, broad applicability, clear and concise language, and increased information density. This book is not simply a collection of solutions to past competition problems but focuses on explaining the thought processes and methods behind solving them.