Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years
and above in pure mathematics.
Terence Tao was born in Adelaide, Australia, in 1975. In 1987, 1988, and 1989 he competed in the International Mathematical Olympiad for the Australian team, winning a bronze, silver, and gold medal respectively, and being the youngest competitor ever to win a gold medal at this event. Since 2000, Terence has been a full professor of mathematics at the University of California, Los Angeles. He now lives in Los Angeles with his wife and son.
Preface ; 1. Strategies in problem solving ; 2. Examples in number theory ; 3. Examples in algebra and analysis ; 4. Euclidean geometry ; 5. Analytic geometry ; 6. Sundry examples ; References ; Index