The International Mathematical Olympiad competition is held every year with the final taking place in a different country. The final consists of a two day exam with the contestants being challenged to solve three difficult problems each day. This book contains the questions from the finals taking place between 1986 and 1999 inclusive. For each problem the author has included at least one solution and often remarks about alternative approaches and the significance of the problem. Many of the solutions are derived from answers given by contestants rather than the organisers as these were often the most elegant solutions. This collection will be of great value to students preparing for the IMO and to all others who are interested in problem solving in mathematics.

Problems, solutions, and results from the International Mathematical Olympiads held from 1959 through 2000.

"It is the aim of this book to...present the evolution of number as the profoundly human story which it is."

—Tobias Dantzig

"This is beyond doubt the most interesting book on the evolution of mathematics which has ever fallen into my hands. If people know how to treasure the truly good, this book will attain a lasting place in the literature of the world. The evolution of mathematical thought from the earliest times to the latest constructions is presented here with admirable consistency and originality and in a wonderfully lively style."

 

For the more than one million students taking the AP exams each year

• Boxed quotes offering advice from students who have aced the exams and from AP teachers and college professors
• Sample tests that closely simulate real exams
• Review material based on the contents of the most recent tests
• Icons highlighting important facts, vocabulary, and frequently asked questions
• Websites and links to valuable online test resources, along with author e-mail addresses for students with follow-up questions
• Authors who are either AP course instructors or exam developers