Time period 1700 to 1900. Chapters 19 to 29 of Boyer.
1. A particular Mathematician and his (or her) contribution to mathematics.
2. The history of some interesting mathematical controversy: Example, the Leibnitz-Newton fight over who invented calculus.
3. Investigate some question about the history of calculus: Example, who first knew sin' = cos?
4. Trace the history of some question whose study has had a large impact on the development of mathematics: Example, the angle trisection problem.
This
project is to be done individually. As before, the project
is to be prepared in a Maple worksheet. It
will include text, Maple calculations, and Maple graphics. The
inline mathematics will be formatted.
Come to my office for a tutorial on formatting mathematical text. It
must be at least 4 pages (check with print preview) with the font set at
12 point Times New Roman and the output removed.
Your
project should have a title and author at the top. Don't make
a title page. Include references you used in your project at the
bottom. Your bibliography must have at least two references (your
text and one other source).
Choose two topics and email them to me by tax time (4/15). Final version due Friday before dead week, but will be gratefully accepted before. Dead week will be devoted to deciding what to put on the final and presentations of projects.
Project Assignments as of 4/16
Clark
History
of Polar Coordinates
Oberg Arthur Cayley's contributions
to matrices
Mielec
History
of Matrices up to Cayley Bailey
Euler's work in number theory.
Meece
The Poincare model for the hyperbolic plane. Williamson
Sophie Germain's mathematics Attig
L. Carnot Brown
The history of Rolle's theorem and others Ard
Legendre's law of quadratic reciprocity Rakes
Newton's classification of the cubic. Overby
Poincare's classification of surfaces. Schorer
Kronecker's shameful treatment of Cantor, and Cantor's posthumous revenge.
Damron
Felix Klein's Erlanger Program
Whitt
- Sylvester's centroid theorem. Reed
The Bernoulli brood's contributions to mathematics Mattingly
George Boole and the algebra of logic Conger
D'Alembert
Shoot
Probability in Laplace's time and Buffon's needle experiment
Zerheusen The
development of the limit concept in calculus Gillette
Bolyai and Lobachevsky's
influence
and contribution to non-euclidean geometry PhillipsSaccheri
and his work with quadrilaterals Kiernan
Monge's
development of analytic geometry Weddle
Cauchy's complex variables
Scott
Lagrange