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Contents
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Week 1: |
On Multiculturalism and History of Mathematics. On Beginnings:Ancient. |
Week 2: |
Ancient Eastern Period:Sources and Selections. Egyptian, Mesopotamian, Babylonian Mathematics. |
Week 3: |
Indian and Chinese Mathematics. |
Week 4: |
The weakening of Eastern Mathematics as a result of major economic and political changes in the Mediterranean region and the Era of Ancient Greece. |
Week 5: |
Examining the era of Plato, Euclid, Archimedes, and Apolloni. |
Week 6: |
The East After the Collapse of Greek Social Order. |
Week 7: |
Persian Mathematics. Omer Khayyam, El-Kashi, El-Khwarizmi. |
Week 8: |
Influence of Islam in Mathematics. Midterm Exam. |
Week 9: |
Beginnings in Western Europe. The impact of the first powerful trade centers emerging in Italy on mathematics. Fibonacci. |
Week 10: |
17. Century. Copernicus, Tycho Brahe, Kepler, and Galileo in Astronomy. |
Week 11: |
Descartes, who introduced classical geometry to the field of algebra. Developing Differential and Integral Calculus. |
Week 12: |
Leibnitz, Cavalieri, Wallis, Fermat, Pascal, Newton. |
Week 13: |
18th Century. Leibnitz, Bernolli Brothers, Euler, Lagrange, Laplace. |
Week 14: |
19th Century. Gauss, Klein, Fourier, Bolzano, Cauchy, Abel, Weierstrass, Jacobi, Dirichlet, Cantor, Riemann, Kronecker. 20th Century. Hilbert's problems. |
Week 15*: |
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Week 16*: |
Final Exam. |
Textbooks and materials: |
History of Mathematics Uta C. Merzbach and Carl B. Boyer History of Mathematics D.E. Smith Dünya matematikçileri Prof. Dr. Yavuz Aksoy |
Recommended readings: |
Matematik Tarihi:Mezopotamyadan Günümüze, Yazar: Luke HODGKIN Kısa Matematik Tarihi, Yazar:Dirk J. STRUIK |
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* Between 15th and 16th weeks is there a free week for students to prepare for final exam.
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