Icons of Mathematics: An Exploration of Twenty Key Images - Couverture rigide

Alsina, Claudi; Nelsen, Roger B.

Couverture rigide

ISBN 10 : 0883853523 ISBN 13 : 9780883853528

Editeur : The Mathematical Association of America, 2011

Synopsis

Certain geometric diagrams play a crucial role in visualizing mathematical proofs. Twenty of these icons of mathematics are presented in this book, where the authors explore the mathematics within them and the mathematics that can be created from them. A chapter is devoted to each icon, illustrating its presence in real life, its primary mathematical characteristics and how it plays a central role in visual proofs of a wide range of mathematical facts. Among these are classical results from plane geometry, properties of the integers, means and inequalities, trigonometric identities, theorems from calculus and puzzles from recreational mathematics. Each chapter concludes with a selection of challenges for the reader to explore further properties and applications of the icon. Those teaching undergraduate mathematics will find material here for problem solving sessions, as well as enrichment material for courses on proofs and mathematical reasoning.

Détails de l'édition

• Éditeur: The Mathematical Association of America
• Date d'édition: 2011
• Langue: anglais
• ISBN 10: 0883853523
• ISBN 13: 9780883853528
• Reliure: Relié
• Nombre de pages: 346
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible