New Horizons in Geometry Hardback
by Tom M. (California Institute of Technology) Apostol, Mamikon A. (California Institute of Technology) Mnatsakanian
Part of the Dolciani Mathematical Expositions series
Hardback
- Information
Description
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.
Information
-
Unavailable
- Format:Hardback
- Pages:526 pages
- Publisher:Mathematical Association of America
- Publication Date:14/03/2013
- Category:
- ISBN:9780883853542
Information
-
Unavailable
- Format:Hardback
- Pages:526 pages
- Publisher:Mathematical Association of America
- Publication Date:14/03/2013
- Category:
- ISBN:9780883853542
