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New Horizons in Geometry by Tom M. Apostol and Mamikon A. Mnatsakanian (Hardcover)
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About this product
Product Identifiers
PublisherAmerican Mathematical Society
ISBN-10088385354X
ISBN-139780883853542
eBay Product ID (ePID)25038445477
Product Key Features
Number of Pages526 Pages
Publication NameNew Horizons in Geometry
LanguageEnglish
SubjectGeometry / General, Calculus, Topology
TypeTextbook
AuthorTom M. Apostol, Mamikon A. Mnatsakanian
Subject AreaMathematics
FormatHardcover
Dimensions
Item Height1.5 in
Item Weight56.6 Oz
Item Length10 in
Item Width7 in
Additional Product Features
Intended AudienceScholarly & Professional
IllustratedYes
SynopsisThe 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 beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus.
Illustrated byMnatsakanian, Mamikon A.
LC Classification NumberQA445 .A77 2012
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