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New horizons in geometry

Author: Tom M Apostol; M A Mnat︠s︡akani︠a︡n
Publisher: Washington, D.C. : Mathematical Association of America, Mathematical Association of America South Korea ; Pasadena, CA : Charles Allen Imaging Experts [2012] ©2012
Series: Dolciani mathematical expositions, no. 47.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
Calculus problems solved by elementary geometrical methods --- P. 4 of cover.
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Details

Document Type: Book
All Authors / Contributors: Tom M Apostol; M A Mnat︠s︡akani︠a︡n
ISBN: 9780883853542 088385354X
OCLC Number: 828664022
Description: xiv, 513 pages : color illustrations ; 27 cm.
Contents: Mamikon's sweeping --
tangent theorem --
Cycloids and trochoids --
Cyclogons and trochogons --
Circumgons and circumsolids --
The method of punctured containers --
Unwrapping curves from cylinders and cones --
New descriptions of conics via twisted cylinders, focal disks, and directors --
Ellipse to hyperbola: "with this string I thee wed" --
Trammels --
Isoperimetric and isoparametric problems --
Arclength and tanvolutes --
Centroids --
New balancing principles with applications --
Sums of squares.
Series Title: Dolciani mathematical expositions, no. 47.
Responsibility: Tom M. Apostol and Mamikon A. Mnatsakanian.

Abstract:

A beautifully illustrated collection of striking and original results in geometry. Recommended for students and teachers of geometry and calculus.  Read more...
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