104 Number Theory Problems

From the Training of the USA IMO Team

Titu Andreescu, Dorin Andrica, Zuming Feng

204 pages, parution le 23/02/2007

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Résumé

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas, conjectures, and conclusions in writing. Applying specific techniques and strategies, readers will acquire a solid understanding of the fundamental concepts and ideas of number theory.

Key features:

Contains problems developed for various mathematical contests, including the International Mathematical Olympiad (IMO)
Builds a bridge between ordinary high school examples and exercises in number theory and more sophisticated, intricate and abstract concepts and problems
Begins by familiarizing students with typical examples that illustrate central themes, followed by numerous carefully selected problems and extensive discussions of their solutions
Combines unconventional and essay-type examples, exercises and problems, many presented in an original fashion
Engages students in creative thinking and stimulates them to express their comprehension and mastery of the material beyond the classroom

104 Number Theory Problems is a valuable resource for advanced high school students, undergraduates, instructors, and mathematics coaches preparing to participate in mathematical contests and those contemplating future research in number theory and its related areas.

Sommaire

Foundations of Number Theory.
Introductory Problems.
Advanced Problems.
Solutions to Introductory Problems.
Solutions to Advanced Problems.

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Titu Andreescu, Dorin Andrica, Zuming Feng
Parution	23/02/2007
Nb. de pages	204
Format	15,5 x 23,5
Couverture	Relié
Poids	377g
Intérieur	Noir et Blanc
EAN13	9780817645274
ISBN13	978-0-8176-4527-4