**Math 128: History of Mathematics in the Islamic World, Fall 2016**

**Instructor**: Noah Aydin

**Office/Phone**: RBH 319 / 5674

**Office Hours**: M,W: 11-12; T: 9-11; R: 8-9 and by appointment

**Textbooks**: 1.Episodes in Mathematics of Medieval Islam, by J. L. Berggren

2. Islamic Science and Making of the European Renaissance, by G. Saliba

3. Ibn al-Haytham: First scientist, by B. Steffens

**Room & Time**: PRCL 09 , MWF 10:10-11

**Course Description:**

This course examines an important and interesting part of the history of mathematics, and more generally, the intellectual history of human kind: history of mathematics in the Islamic world. Some of the most fundamental notions in modern mathematics have their roots in this part of the history such as the modern number system, the fields of algebra and trigonometry, the concept of algorithm, foundations of optics and scientific method. These contributions are generally not known, not only in the west but in the Islamic World either. Moreover, there are commonly held misconceptions about the subject. In addition to studying specific contributions of medieval Islamic scholars in the areas of arithmetic, algebra, geometry and trigonometry in some details, we will also examine the context in which the Islamic science and mathematics flourished, and the role of religion this development. We will discuss the reasons behind the lack of awareness in the subject. We will examine the evidence from recent research that challenges and refutes many of the commonly held misconceptions. The rise of Islamic science and its interactions with other cultures (e.g. Greek, Indian and European Renaissance) tells us much about the larger issues of humanities. Thus, this course has both a substantial mathematical component (~60-65 %) and a significant history and social science component (~35-40%), bringing together three disciplines: Mathematics, History and Religion. It is part of the Islamic Civilization and Cultures program, and fulfills the QR requirement. No prerequisite is needed beyond high school algebra and geometry, *but a solid knowledge in algebra and geometry is needed.*

Some Useful Online Resources

The MacTutor of History of Mathematics Archive: http://turnbull.mcs.st-and.ac.uk/~history/

The MacTutor Islamic Mathematics: http://turnbull.mcs.st-and.ac.uk/~history/Indexes/Arabs.html

Muslim Heritage Web Site: http://www.muslimheritage.com/Some Useful Documentaries (available on youtube):

Empire of Faith: A PBS documentary Science in Islam Part 1, Science in Islam Part 2, orFull documentary

Science and Islam a 3-part BBC documentary Episode 1, Episode 2, Episode 3, or Full.

When Moors Ruled Europe by historian Bettany Hughes

**Teaching Philosophy and Expectations**

**General Course Information and Syllabus**