New Horizons in Geometry - Rilegato

Apostol, Tom M.; Mnatsakanian, Mamikon A.

Rilegato

ISBN 10: 088385354X ISBN 13: 9780883853542

Casa editrice: The Mathematical Association of America, 2013

Riassunto

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.

Su questo libro

Descrizione del libro:

This volume represents a striking collection of results that reveal surprising connections between lengths, areas and volumes in various geometric figures. The exposition, enhanced throughout with beautiful illustrations, is original and lucid with an emphasis on dynamic visual thinking. Recommended for any student or teacher of geometry and calculus.

L'autore:

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.

Su questa edizione

• Editore: The Mathematical Association of America
• Data di pubblicazione: 2013
• ISBN 10: 088385354X
• ISBN 13: 9780883853542
• Rilegatura: Copertina rigida
• Numero di pagine: 526