New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authorsaTom Apostol and Mamikon Mnatsakanian. It serves as a capstone to an amazing collaboration. Apostol and Mamikon provide fresh and powerful insights into geometry that requires only a modest background in mathematics. Using new and intuitively rich methods, they give beautifully illustrated proofs of results, the majority of which are new, and frequently develop extensions of familiar theorems that are often surprising and sometimes astounding. It is mathematical exposition of the highest order. The hundreds of full color illustrations by Mamikon are visually enticing and provide great motivation to read further and savor the wonderful results. Lengths, areas, and volumes of curves, surfaces, and solids are explored from a visually captivating perspective. It is an understatement to say that Apostol and Mamikon have breathed new life into geometry.However, an additional vector joining the tail of T1 a g to the head of T4 a Q will close the polygon. This vector, shown as a broken line in Figure 12.12b, is the deficiency vector (1. We find 0 by adding the error vector d/4 to g. In practiceanbsp;...
|Title||:||New Horizons in Geometry|
|Author||:||Tom M. Apostol, Mamikon Mnatsakanian|
|Publisher||:||MAA - 2012|