Ruler and the round : Classic Problems in Geometric Constructions download
Ruler and the round : Classic Problems in Geometric Constructions download
Ruler and the round : Classic Problems in Geometric Constructions by Nicholas D. Kazarinoff
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Author: Nicholas D. Kazarinoff
Page Count: 160 pages
Published Date: 20 Oct 2011
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
Format: Pdf
ISBN: 9780486425153
Download Link: ruler and the round classic problems in geometric constructions
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Although easy to comprehend and fun to do, many geometric constructions defy completion with just a ruler and a compass. This book takes an intriguing look at the most famous of these "impossible" constructions. In exploring ground rules, history, and angle trisection, the first part considers angle trisection and bird migration, constructed points, analytic geometry, algebraic classification of constructible numbers, fields of real numbers, cubic equations, and marked ruler, quadratix, and hyperbola (among other subjects). The second part treats nonconstructible regular polygons and the algebra associated with them; specifically, irreducibility and factorization, unique factorization of quadratic integers, finite dimensional vector spaces, algebraic fields, and nonconstructible regular polygons. High school and college students as well as amateur mathematicians will appreciate this stimulating and provocative book, and its glimpses into the crucial role geometry plays in a wide range of mathematical applications.
Read online Ruler and the round : Classic Problems in Geometric Constructions Buy and read online Ruler and the round : Classic Problems in Geometric Constructions Download Ruler and the round : Classic Problems in Geometric Constructions ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Ruler and the round : Classic Problems in Geometric Constructions ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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Ruler and the round : Classic Problems in Geometric Constructions by Nicholas D. Kazarinoff
Author: Nicholas D. Kazarinoff
Page Count: 160 pages
Published Date: 20 Oct 2011
Publisher: Dover Publications Inc.
Publication Country: New York, United States
Language: English
Format: Pdf
ISBN: 9780486425153
Download Link: ruler and the round classic problems in geometric constructions
---------------------------------------------------------------
Although easy to comprehend and fun to do, many geometric constructions defy completion with just a ruler and a compass. This book takes an intriguing look at the most famous of these "impossible" constructions. In exploring ground rules, history, and angle trisection, the first part considers angle trisection and bird migration, constructed points, analytic geometry, algebraic classification of constructible numbers, fields of real numbers, cubic equations, and marked ruler, quadratix, and hyperbola (among other subjects). The second part treats nonconstructible regular polygons and the algebra associated with them; specifically, irreducibility and factorization, unique factorization of quadratic integers, finite dimensional vector spaces, algebraic fields, and nonconstructible regular polygons. High school and college students as well as amateur mathematicians will appreciate this stimulating and provocative book, and its glimpses into the crucial role geometry plays in a wide range of mathematical applications.
Read online Ruler and the round : Classic Problems in Geometric Constructions Buy and read online Ruler and the round : Classic Problems in Geometric Constructions Download Ruler and the round : Classic Problems in Geometric Constructions ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Ruler and the round : Classic Problems in Geometric Constructions ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
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