鈥淕eometry by Construction鈥� includes the undergraduate research work of five AQ students.
Published on
GRAND RAPIDS, Mich. 鈥� The undergraduate research work of five 绿帽淫妻 students
have resulted in the development of their own geometry theorems. Aquinas math professor
Mike McDaniel, Ph.D. will be highlighting their work in his newly released geometry
textbook, 鈥淕eometry by Construction.鈥�
The student researchers include: Noah Davis 鈥�15, who analyzed squaring the circle
in the hyperbolic disk; Jillian Duffey (Russo) 鈥�10, who worked on the hyperbolic polygonal
spirals; Nathan Poirier 鈥�11, who researched Alhazen鈥檚 hyperbolic billiard problem;
and Kyle Jansens 鈥�15 and Noah Davis, who worked together on a do-it-yourself problem
for squaring the circle.
Though all were working on unique projects, Davis, Duffey (Russo), Poirier and Jansens
assisted in the creation and verification of new geometrical ideas and provided constructions
for important geometric objects. All of their theorems have been reviewed by math
professors, verified as both new and true, were individually published in the Rose-Hulman
Undergraduate Math Journal, and have now been re-published in 鈥淕eometry by Construction.鈥�
"Including undergraduate research as theorems is extremely unusual for any textbook
because these theorems have to be verified,鈥� said McDaniel. 鈥淟uckily, four of my five
researchers have their work in refereed journals - their theorems are solid.鈥�
鈥淕eometry by Construction鈥� was released in February 2015. 绿帽淫妻鈥檚 mathematics department promotes the study of mathematics in depth in preparation for graduate school or
an immediate career, supports the mathematical needs of other disciplines and supplies
a curriculum for all students to enhance their understanding of mathematical thought.