New Horizons in Geometry - Couverture rigide

Apostol, Tom M.; Mnatsakanian, Mamikon A.

Couverture rigide

ISBN 10 : 088385354X ISBN 13 : 9780883853542

Editeur : The Mathematical Association of America, 2013

Synopsis

The collaborative work of Tom Apostol and Mamikon Mnatsakanian has been lauded for its clarity and originality. In this volume the authors present an impressive collection of geometric results that reveal surprising connections between lengths, areas and volumes in various shapes, and allow one to compute difficult integrals, all using intuitive visual calculations. One noteworthy idea that the reader will encounter is Mamikon's Sweeping Tangent Theorem from which the authors obtain a visual derivation of the property that the length of an arc of a catenary is proportional to the area under the arc. This is one of many 'proofs without words' contained within. In addition, a variety of results are derived visually for cycloids, conic sections, and many more geometric objects. As befits a book that emphasises visual thinking, the text is beautifully illustrated. This is a book that will inspire students and enrich any geometry or calculus course.

A propos du livre

À propos des auteurs

Tom Apostol is an Emeritus Professor of Mathematics at the California Institute of Technology.

Mamikon Mnatsakanian is Project Associate at 'Project Mathematics!' at the California Institute of Technology.

Détails de l'édition

• Éditeur: The Mathematical Association of America
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 088385354X
• ISBN 13: 9780883853542
• Reliure: Relié
• Nombre de pages: 526
• Coordonnées du fabricant: non disponible
• Personne responsable: non disponible