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 is in the library.
Presentations topics and papers
- Pascal and the Problem of Points
- Astronomical Math
- Thales and the Height of the great pyramid of Giza.
- Zeno’s arguments and the Development of the Theory of Limits
- History of Platonic solids
- Historical Stages in the Definition of Curves
- Fermat's Method of Finding Areas under Graphs. . See also Here.
- Fermat on Number Theory
- History of the Euclidean Steiner tree problem
- History of the number e
- Gauss and the Discovery of Ceres
- Gauss and the Regular Polygon of Seventeen Sides
- Some Historical Notes on the Cycloid
- Archimedes and the quadrature of the parabola
- Diophantus and the birth of literal algebra
- How Kepler Discovered the Elliptical Orbit
- History of the binomial theorem
- Japanese Temple Geometry
- Right-Angled Triangles in Ancient China
- History of matrices and determinants
- History of Fermat last Theorem
- Sophie Germain on Fermat number theory
- The Lengths of Curves
- Ancient Indian methods for computing square root
- Ideas of calculus in the Islamic word
- Ideas of calculus in India
- The Remarkable Ibn al-Haytham
- Squaring the circle
- Euler and the bridges of Konigsberg
- Euler's Contribution to Number Theory
- Cauchy and the Origins of Rigorous Calculus
- Viète, Descartes and the Cubic Equation
Probability
\ \3The Evolution of the Normal Distribution
Euler
4Euler and the proof of the Fundamental Theorem of Algebra
A Sampler of Euler's Number Theory Journey through genius
Gauss
Gauss and the Regular Polygon of Seventeen Sides
Gauss-Jordan Reduction: A Brief History
On Gauss's First Proof of the Fundamental Theorem of Algebra
Astronomy
How Ptolemy constructed trigonometry tables
How Kepler Discovered the Elliptical Orbit
The Discovery of Ceres: How Gauss Became Famous
Numbers, equations and Computations
Viète's use of decimal fractions
Origin and Evolution of the Secant Method in One Dimension
Hellenic
Heron's Formula for Triangular Area Journey through genius
China The "piling up squares"in Ancient China
Set Theory
The Non-Denumerabilty of the Continuum Journey through genius
Cantor and the Transfinite Realm Journey through genius
India
Multiplication from Lilavati to the Summa
The Discovery of the Series Formula for π by Leibniz, Gregory and Nilakantha
Algebra-Islamic The Algebra of Abu Kamil
Number theory Ramanujan's Notebooks (also The Indian Mathematician Ramanujan)
Calculus
Ideas of Calculus in Islam and India
The Lost Calculus (1637-1670): Tangency and Optimization without Limits
Hamilton's Discovery of Quaternions
Other
The Lost Calculus (1637-1670): Tangency and Optimization without Limits/a>