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Download E-books Excursions in Geometry (Dover Books on Mathematics) PDF

By C. Stanley Ogilvy

"A captivating, enjoyable, and instructive e-book …. The writing is outstandingly lucid, as within the author's previous books, … and the issues conscientiously chosen for optimum curiosity and elegance." — Martin Gardner.
This ebook is meant for those that loved geometry once they first encountered it (and even perhaps a few who didn't) yet sensed an absence of highbrow stimulus and questioned what was once lacking, or felt that the play was once finishing simply whilst the plot used to be ultimately changing into interesting.
In this marvelous remedy, Professor Ogilvy demonstrates the mathematical problem and delight on hand from geometry, the one necessities being basic implements (straightedge and compass) and a bit inspiration. fending off subject matters that require an array of latest definitions and abstractions, Professor Ogilvy attracts upon fabric that's both self-evident within the classical experience or really easy to end up. one of the matters taken care of are: harmonic department and Apollonian circles, inversion geometry, the hexlet, conic sections, projective geometry, the golden part, and perspective trisection. additionally integrated are a few unsolved difficulties of contemporary geometry, together with Malfatti's challenge and the Kakeya problem.
Numerous diagrams, chosen references, and thoroughly selected difficulties improve the textual content. additionally, the important part of notes on the again presents not just resource references but additionally a lot different fabric hugely beneficial as a working remark at the text.

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