History of Mathematics

# History of Mathematics

```Instructor: Franz Lemmermeyer
Office: FEN 116
```

### Textbook

I suggest Boyer, History of Mathematics. One copy is on reserve in the library. Here are my reasons for not picking Anglin, Mathematics: A concise History and Philosophy.

## Exam Averages

```Midterm 1: 86/100
Midterm 2: 61/100
Final: 60/100

The final exams can be seen
Fri Jan 16, 13:00-14:00
Mon Jan 19, 13:00-14:00
Tue Jan 20, 13:00-14:00
in my office FEN 116.
```

### Presentations

Possible Topics:
• Development of Calendars [Yildirim, Topan, Korkmaz]
• Thales: his biography, philosophy, and mathematics [Alkis]
• Pythagoras and the Pythagoreans [D. Can]
• Classification of the Platonic solids and the structure of our universe[O. Boztas, C. Korkmaz, A. Kayrur]
• The paradoxa of Zeno and infinity in Greek philosophy [Y. Sengül, M. Ö. Özcakir, A. Tokuc]
• Eratosthenes and Aristarch: circumference of the earth, distance earth-moon and earth-sun.
• Some problems of Diophantus (1. Diophantus' Notation 2. Some problems (classical) 3. Some problems (modern) 4. Diophantus and negative numbers [K. Bozkurt, E. Yavas, Ö. Öztürün]
• How do we know about Greek mathematicsand mathematicians? [Sanli, Altundag, Öztürk]
• Asian, Chinese, Indian, and Arabic (Islamic) Mathematics [B.G. Tüker; C. Pekdemir; S. Yücelyigit; M. Akkus, U. Genc]
• The incident of Euler- Diderot; Galois and Bell [N. Misir, B. Evci, H.S. Aksu]
• Euler's summation of 1 + 1/4 + 1/9 + 1/16 + ... (Basel problem; see the books by Dunham; Polya)
• Progress in the calculation of pi (History; Machin's formula and group laws on conics; Grave's problem (Ribenboim, Catalan's conjecture, p. 138ff); Gauss and the AGM) [H. Basan, H. Islek, A. Hayta, M.K. Ozbek]
• Construction of regular pentagon and 17-gon with ruler and compass [E. Karabudak, Ö. Cavusoglu]
• Fermat's Last Theorem; Fermat and the proof for n=4 [Sahinoglu];
• Non-Euclidean geometry [B. Bosna, P. Pekcagliyan]
If you're interested, please email me with your names and the topic; you may suggest topics yourselves. Many of the sources above come from the excellent online course on the history of mathematics by Don Allen at Texas A&M University.