Synopses & Reviews
This book is intended to provide students with the appropriate mathematical tools and problem-solving experience to successfully compete in high-level problem solving competitions. In each section, the authors attempt to "fill in" the appropriate background and then provide the student with a variety of worked examples and exercises to help bridge the gap between what he or she may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises. The book makes an attempt to introduce each area "gently" assuming little in the way of prior background - and teach the appropriate techniques, rather than simply providing a compilation of high-level problems.
"...a very attractive book likely to yield interesting results to anyone interested in mathematics or mathematical competitions." MATHEMATICAL REVIEWS
"...a valuable resource for capable secondary students and their teachers." ZENTRALBLATT MATH
This book provides the mathematical tools and problem-solving experience needed to successfully compete in high-level problem solving competitions. Each section presents important background information and then provides a variety of worked examples and exercises to help bridge the gap between what the reader may already know and what is required for high-level competitions. Answers or sketches of the solutions are given for all exercises.
Includes bibliographical references (p. 237-238) and index.
Table of Contents
x The Physical Origins of Partial Differential Equations
x Partial Differential Equations on Unbounded Domains
x Orthogonal Expansions
x Partial Differential Equations on Bounded Domains
x Appendix: Ordinary Differential Equations