GVSU MTH 495 Summary

This article provides a summary of the topics covered in the GVSU course Nature of Modern Mathematics. Please make sure to respect the ownership other people's material. This includes the syllabus to the course. Do not simply copy it to this article or upload it without their permission. Please make sure to read the writing guidelines.

Overview of the Course
The text used for this course is Journey Through Genius by William Dunham.

Great Theorems
All of the great theorems in the main textbook used for this course.

The Quadrature of the Lune
Hippocrates argument rested upon three preliminary results: \[\frac{\text{Area (semicircle 1)}}{\text{Area (semicircle 2)}}=\frac{d^2}{D^2}\]
 * The Pythagorean theorem
 * An angle inscribed in a semicircle is right.
 * The areas of two circles or semicircles are to each other as the squares on their diameters.

15,000-10,000 BC

 * Agricultural Revolution