Ruler And The Round

 ( Book Product ) 

Although easy to comprehend and fun to do, many geometric constructions defy completion with just a ruler and a compass

• Ruler And The Round available on January 16 2018 from VitalSource for itemprop="offers" target="_external" title="" itemscope itemtype="http://schema.org/Offer">8.99
  
• ISBN bar code 9780486143613 ξ1 registered March 13 2016
  
• Product category is Book

• Sku # 9780486143613
  

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.

^ Ruler And The Round VitalSource. ISBN 9780486143613 (revised Jan 2018)