By Edward Lozansky
Problem-solving competitions for mathematically gifted sec ondary college scholars have burgeoned in recent times. The variety of nations playing the foreign Mathematical Olympiad (IMO) has elevated dramatically. within the usa, capability IMO staff individuals are pointed out throughout the united states Mathematical Olympiad (USAMO), and such a lot different engaging nations use an identical choice technique. hence the variety of such competitions has grown, and this development has been observed by means of elevated public curiosity within the accomplishments of mathematically proficient children. there's a major hole among what such a lot highschool math ematics courses educate and what's anticipated of an IMO player. This ebook is a part of an attempt to bridge that hole. it's written for college kids who've proven expertise in arithmetic yet lack the again flooring and event essential to resolve olympiad-level difficulties. we strive to supply a few of that historical past and event via aspect out precious theorems and methods and through offering an appropriate ing choice of examples and routines. This publication covers just a fraction of the subjects often rep resented in competitions corresponding to the USAMO and IMO. one other quantity will be essential to hide geometry, and there are different v VI Preface precise subject matters that have to be studied as a part of guidance for olympiad-level competitions. on the finish of the ebook we offer an inventory of assets for additional study.