Math 304 History of Mathematical Concepts II Spring 2009
Final is on June 3rd Wednesday 16.30. Exam places are M04 (A-GÜR) and M13 (KAR-Z).
Midterm is on April 8th Wednesday 17.40. Exam places are P1(A-KAV) and P2 (KAY-Z).
Sample
problems.
For
your presentation, form a
group of 5 and email it to the address
above with a topic from the schedule below. Choose among topics 3-12.
Schedule
by weeks:
1-History of Science
2-Aspects of Mathematics
3-The Arabic Hegemony
4-The Renaissance
5-Prelude to Modern Mathematics
6-The Time of Fermat and Descartes
7-Newton and Leibniz
8-The Age of Euler
9-Mathematicians of the French Revolution
10-The Time of Gauss and Cauchy
11-Geometry
12-Analysis
13-Poincare and Hilbert
14-Aspects of the Twentieth Century
About
the representations:
- The report is due to the
Wednesday following your presentation.
You do not have to print your report. Electronic formats (html, pdf,
rtf) are preferred. Reports turned in in electronic formats will be
posted in this webpage as they are.
- If you give any formulations
of mathematical achivements,
you should include the most important proof(s)/explanation(s). You may
omit some of the proofs due to time limits. Just expose the methods in
the era you are talking about.
- The achivements in your talk
should be analysed in the sense of
science history. Why did it happen at that particular time? How did the
society/social changes stimulate it? What impact did it have on society
in short/long term?
- Any mathematical work you
talk on, give a comment on how it
effected today's mathematics.
- Do not forget to add the
references to your report (books,
journals, magazines, webpages, etc.).
Some
Sources:
Tarihte Bilim I, J. D. Bernal
Matematik Üzerine
Diyaloglar, Alfred
Renyi
Matematik Tarihi,
Yavuz Aksoy
A Concise History of
Mathematics, Dirk
Struik (also avaliable in Turkish)
Matematiğin Kısa Bir tarihi, Ali Ülger
Hilbert, Constance Reid
http://www.gap-system.org/~history/Biographies/Poincare.html
Textbook:
A History of Mathematics, Carl B. Boyer, Uta C.
Merzbach
Time
and Place:
Monday 13.40-15.30 M103 and Wednesday 12.40-13.30 M103
Grading:
Midterm 40%, Presentation and its report 30% Final 40%
Catalog
Description:
Mathematics of the Renaissance, Islamic contributions. Solution of the
cubic equation and consequences. Invention of logarithms. Time of
Fermat and Descartes. Development of the limit concept. Newton and
Leibniz. The age of Euler. Contributions of Gauss and Cauchy.
Non-Euclidean geometries. The arithmetization of analysis. The rise of
abstract algebra. Aspects of the twentieth century.
