First Steps for Math Olympians

Using the American Mathematics Competitions

J. Douglas Faires - Collection MAA Problem Books

322 pages, parution le 05/04/2007

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Résumé

A major aspect of mathematical training and its benefit to society is the ability to use logic to solve problems. The American Mathematics Competitions (AMC) have been given for more than fifty years to millions of high school students. This book considers the basic ideas behind the solutions to the majority of these problems, and presents examples and exercises from past exams to illustrate the concepts. Anyone taking the AMC exams or helping students prepare for them will find many useful ideas here. But people generally interested in logical problem solving should also find the problems and their solutions interesting.

This book will promote interest in mathematics by providing students with the tools to attack problems that occur on mathematical problem-solving exams, and specifically to level the playing field for those who do not have access to the enrichment programs that are common at the top academic high schools. The book can be used either for self-study or to give people who want to help students prepare for mathematics exams easy access to topic-oriented material and samples of problems based on that material. This is useful for teachers who want to hold special sessions for students, but it is also equally valuable for parents who have children with mathematical interest and ability.

As students' problem-solving abilities improve, they will be able to comprehend more difficult concepts requiring greater mathematical ingenuity. They will be taking their first steps towards becoming math Olympians!

L'auteur - J. Douglas Faires

J. Douglas Faires is a Professor of Mathematics at Youngstown State University. His research interests include analysis, numerical analysis, and mathematics history. Dr. Faires has won many awards, including Outstanding College-University Teacher of Mathematics, Ohio Section of MAA (1996) and Youngstown State University, Distinguished Professor for Teaching (1995-1996).

Sommaire

Arithmetic Ratios
Polynomials and their Zeros
Exponentials and Radicals
Defined Functions and Operations
Triangle Geometry
Circle Geometry
Polygons
Counting
Probability
Prime Decomposition
Number Theory
Sequences and Series
Statistics
Trigonometry
Thre-dimensional Geometry
Functions
Logarithms
Complex Numbers
Solutions to Exercises

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Caractéristiques techniques

	PAPIER
Éditeur(s)	The Mathematical Association of America (MAA)
Auteur(s)	J. Douglas Faires
Collection	MAA Problem Books
Parution	05/04/2007
Nb. de pages	322
Format	16 x 24
Couverture	Relié
Poids	575g
Intérieur	Noir et Blanc
EAN13	9780883858240
ISBN13	978-0-88385-824-0