mat336-papers

MAT 336 History of Mathematics

Class #	Topic	Resources
11	Unit Fractions and Division of loaves in the Rhind Papyrus	Paper 1 Paper 2
12	Thales and the Shadow of the Pyramid	Paper
14	The Two Earths of Eratosthenes	Paper
15	Art and Mathematics: The Platonic Solids	Paper
15	Regular Polygons in Ancient Mathematics	Paper
16	The Parallel Postulate and its Role in Geometry	Paper
16	The Story of the Binomial Theorem	Paper
17	Ptolemy's Theorem	Paper
17	Gauss and the Discovery of Ceres	Paper
18	Diophantus of Alexandria	Paper
18	Historical Development of Complex Numbers	Paper
19	Curves Before Equations (Ancient through Early 17th Century)	Paper
19	Curves by Equations (17th Century on)	Paper
20	Right-Angled Triangles in Ancient China	Paper
21	Ancient Indian Square Root Algorithms	Paper
21	Ancient Chinese Square Root Algorithms	Paper
22	Early History of the Isoperimetric Problem	Paper
22	Steiner and The Isoperimetric Problem	Paper
23	Omar Khayyam: Geometric Algebra and Cubic Equations	Paper 1 Paper 2
23	Ibn al-Haytham and Early Algebra	Paper
24	Descartes and the Geometrization of Algebra	Paper
24	Pascal and the Invention of Probability Theory	Paper
25	The sine anecdote in Kovalevskaya's memoirs	Paper
25	The Invention of Analytic Geometry	Paper
26	The Origins of the Rule of False Position: From Ahmes to al-Khwarizmi	Paper
26	The rule of false position from Fibonacci to Cardano	Paper
27	Königsberg Bridges and the Birth of Graph Theory	Paper
27	Introduction to Fermat's Last Theorem	Paper
28	Analytical Revolution (Sections 4 to 5)	Paper
28	Ancient and Early Methods for Tangents (Sections 1 to 3)	Paper

These topics are available if main topics need to be reassigned or for additional research interests.

Topic	Resources
Japanese Temple Geometry	Paper
Linkages: Exploring the Similarities Between the Chinese Rod Numeral System and Our Numeral System	Paper
The Conceptual Origins of our Numeral System and the Symbolic Form of Algebra	Paper
Euler and the Fundamental Theorem of Algebra	Paper
Gauss and the Regular Polygon of Seventeen Sides	Paper
Hamilton's Discovery of Quaternions	Paper
Kepler and Mathematics	Paper
The Derivative from Fermat to Weierstrass	Paper
The cycloid: history and impact	Paper
The Chinese Connection between the Pascal Triangle and the Solution of Numerical Equations of Any Degree	Paper
A Brief History of Impossibility	Paper
A Hundred Years of Prime Numbers	Paper
The Lovelace–De Morgan Mathematical Correspondence	Paper
Grassmann and the Birth of Linear Algebra	Paper
Geometry	Paper
Ideas of Calculus in Islam and India	Paper
Levi ben Gerson's Hebrew Mathematics	Paper
S. Kovalevsky: A Mathematical Lesson	Paper
Discovery of Incommensurability by Hippasus	Paper
The Doubling of the Cube: Mechanics and Meaning	Paper
The History of the Prime Number Theorem	Paper
The Lengths of Curves	Paper
The Secret Spiritual History of Calculus	Paper
The Unsatisfactory Story of Curvature	Paper
Ramanujan's Notebooks	Paper
Topology: Nature and Significance	Paper