The Inquisitive Problem Solver

Richard K. Guy, Paul Vaderlind, Loren C. Larson

326 pages, parution le 17/03/2003

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Résumé

In The Inquisitive Problem Solver we find a charming collection of 256 attractive mathematical challenges, devised by three well known masters in the field. With each problem is also given hints for its solution, then a full solution, and finally, more difficult variations and extensions, many of which are still unsolved today. One of my favorites: What is the length of the shortest rectangle of width 2 into which n non-overlapping circles of diameter 1 can be packed? I don't know of a better book for introducing students (of all ages!) to the basic principles for attacking such problems.
––Ronald L. Graham, University of California, San Diego

The Inquisitive Problem Solver is a collection of 256 mathematical miniatures composed to stimulate and entertain. However, on a deeper level, these little puzzles, accessible to a general audience, provide a setting rich in mathematical themes. One of the larger purposes of the book is to show how everyday situations can lead an inquisitive problem solver to profound and far-reaching mathematical principles. Discussions accompanying the problems reinforce important techniques in discrete mathematics, and the solutions—which require verbal arguments—show that proofs and careful reasoning are at the core of doing mathematics. In addition, anyone reading this book will learn that asking good questions is just as important to the progress of mathematics as answering questions.

Most of the problems require no special knowledge, others only minimal algebra, but all require clear thinking and insight. About a quarter of the problems suggest additional problems of a more demanding nature, and these are included as Queries with Responses to them in later sections. Many other examples are brought out in the Treasury, which serves as an Index, Glossary, and as list of Terms, Techniques, and Tricks of the Trade.

Caractéristiques techniques

	PAPIER
Éditeur(s)	The Mathematical Association of America (MAA)
Auteur(s)	Richard K. Guy, Paul Vaderlind, Loren C. Larson
Parution	17/03/2003
Nb. de pages	326
Format	18 x 25,5
Couverture	Broché
Poids	610g
Intérieur	Noir et Blanc
EAN13	9780883858066
ISBN13	978-0-88385-806-6