Choice Outstanding Academic Title for 2013

Choice named New Horizons in Geometry by Tom Apostol and Mamikon Mnatsakanian an Outstanding Academic Title for 2013.

New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors—Tom Apostol and Mamikon Mnatsakanian. 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. It is an understatement to say that Apostol and Mamikon have breathed new life into geometry.

Purchase your copy today in the MAA Store or the MAA eBooks Store. 

Mark Bollman reviews New Horizons in Geometry

Mark Bollman reviews New Horizons in Geometry by Tom M. Apostol and Mamikon A. Mnatsakanian as part of MAA Reviews. Anyone who has read Underwood Dudley’s Mathematical Cranks could be forgiven a bit of skepticism in the face of a book that promises to offer elementary geometric methods for solving classical calculus problems. New Horizons in Geometry is about as far from crank mathematics as possible. The book begins with “Mamikon’s sweeping tangent theorem”, a result first conceived in 1959, and proceeds to derive numerous formulas for arclength, area, and volume that might ordinarily be deduced with calculus. Along the way, readers will be introduced or reintroduced to such figures as the cyclogon, the autogon, and the bifocal disk. By the end, recursive formulas for volume in n-dimensional space are easily handled, with no integrals required. This volume serves as the “collected works” of a fascinating mathematical collaboration between the two authors. This is mathematics of the highest caliber; but what makes this book even more impressive is the attention paid to high-quality full-color graphics that ably illustrate the problems under consideration. Read the full review here. Purchase a copy today at the MAA Store. Mark Bollman (mbollman@albion.edu) is associate professor of mathematics at Albion College in Michigan. His mathematical interests include number theory, probability, and geometry. Mark’s claim to be the only Project NExT fellow (Forest dot, 2002) who has taught both English composition and organic chemistry to college students has not, to his knowledge, been successfully contradicted. If it ever is, he is sure that his experience teaching introductory geology will break the deadlock.

New Book: New Horizons in Geometry

New Horizons in Geometry by Tom Apostol and Mamikon Mnatsakanian Dolciani Mathematical Expositions Series New Horizons in Geometry represents the fruits of 15 years of work in geometry by a remarkable team of prize-winning authors—Tom 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 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.

Available now in the MAA Store.

MAA Pavilion Book Events #JMM13

Don't forget about Tom Apostol and Mamikon Mnatsakanian's book signing held today, January 11, at 2pm in the MAA Pavilion. This is your chance to pick up their latest book, New Horizons in Geometry, and have it signed! Today is also the day to Meet the Editors. Stop by the MAA Pavilion from 11am -12pm and have your questions answered by editors of MAA's publications.