### Notes

Below there is a paper or book chapter about the topics that were assigned to each of the students.

In a few cases, there are two papers about the same topic. If your topic is one of those, you can choose on which of those to paper you will write the report.

The book Journey through genius, which can be the source for some topics, is in the Math Library.

### Presentations topics and papers (somewhat organized)

#### History of

- History of the number e
- The rule of false position
- The origin of polar coordinates
- Cavalieri's Method of Indivisible
- The secret spiritual history of calculus
- Historical Stages in the Definition of Curves
- History of Platonic solids
- History of the Euclidean Steiner tree problem
- History of the Cycloid see also Journey through genius
- Origin and Evolution of the Secant Method in One Dimension
- The Lengths of Curves
- History of the binomial theorem
- History of the Normal Distribution
- History of Hyperbolic Geometry
- History of Fermat last Theorem
- Japanese Temple Geometry
- Gauss-Jordan Reduction: A Brief History
- Multiplication from Lilavati to the Summa
- Right-Angled Triangles in Ancient China
- Tangency and Optimization without Limits
- Fermat Last Theorem
- Ideas of calculus in the Islamic word
- Ideas of calculus in India
- The beginnings of probability and the Problem of Points

#### Interesting people and their ideas

- Thales and the Height of the great pyramid of Giza.
- Archimedes and the quadrature of the parabola
- Heron's Formula for Triangular Area Journey through genius
- How Ptolemy constructed trigonometry tables
- Diophantus and the birth of literal algebra
- Omar Khayyam, mathematician
- The Remarkable Ibn al-Haytham
- The Algebra of Abu Kamil
- Aryabhata and Ancient Indian methods for computing square root
- Ramanujan's Notebooks (also The Indian Mathematician Ramanujan)
- Saccheri on non-Euclidean geometry
- How Kepler Discovered the Elliptical Orbit
- The Discovery of Ceres: How Gauss Became Famous
- Fermat on Number Theory
- Fermat's Method of Finding Areas under Graphs. . See also Here.
- Hamilton on the Discovery of Quaternions
- Euler and the proof of the Fundamental Theorem of Algebra
- Euler and the bridges of Konigsberg
- Euler's Contribution to Number Theory see also Journey through genius
- Cauchy and the Origins of Rigorous Calculus
- Viète, Descartes and the Cubic Equation
- Gauss and the Regular Polygon of Seventeen Sides
- Gauss and the Discovery of Ceres
- Cantor and The Non-Denumerabilty of the Continuum on Journey through genius
- Newton and the binomial theorem, see also Journey through Genius by William Dunham.
- The Bernoullis and the Harmonic Series, see Journey through Genius by William Dunham.