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Mathematics in Islamic Society

Mathematics in Islamic Society. Becca and Hank. The Role of Math. Scholars Contributions in other areas of study Universities Math for the sake of Math Some had government positions Arabic numerals From simple to complex concepts. Islamic Mathematics.

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Mathematics in Islamic Society

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  1. Mathematics in Islamic Society Becca and Hank

  2. The Role of Math Scholars Contributions in other areas of study Universities Math for the sake of Math Some had government positions Arabic numerals From simple to complex concepts

  3. Islamic Mathematics Islamic algebra based on Greek and Hindu foundations Many believed that through numbers-ascend into higher world

  4. Apply Math to Science • Astronomical table • Direction of Mecca • Schedule 5 daily prayers • Fix holy days on lunar calendar • Navigate monsoon swept Indian Ocean

  5. Apply Math to Science • Water clocks, water wheels, irrigation • Geometry and algebra in optics • Trigonometry refine earth-center picture of Ptolemy

  6. Tracing Mathematic progression throughout the Islamic era and development of concepts that we still use today

  7. MOHAMMAD BIN MUSA AL-KHAWARIZMI Father of algebra Analytical solutions to linear and quadratic equations Zero Decimals Algorithms-formal procedure of calculating Introduce “Arabic numerals” Trigonometry tables-sine

  8. MOHAMMAD BIN MUSA AL-KHAWARIZMI Geometric representation of conic sections Calculus of two errors Collaborate with Mamun al-Rashid on degree measurement

  9. YAQUB IBN ISHAQ AL-KINDI 4 books on number system Foundations of modern arithmetic Spherical geometry-astronomy

  10. JAMSHID AL-KASHI • Al-Kashi’s greatest contribution was the calculation of Pi • He calculated that Pi was 3.1459265358979325 the only digit wrong in this approximation was the five at the end.

  11. THABIT IBN QURRA Traditional geometry and geometric algebra Theories Non-Euclidean geometry Spherical trigonometry Real numbers Integral calculus

  12. THABIT IBN QURRA Apply arithmetical terminology to geometric quantities Study conic section-parabola and ellipse Determine surfaces and volumes

  13. ABUL WAFA MUHAMMAD AL-BUZJA Geometry Use compass Square equivalent to other squares Regular polyhedra Regular hexagon and equliateral triangle Parabola by points Geometric solution to x^4=a and x^4+ax^3=b

  14. ABUL WAFA MUHAMMAD AL-BUZJA Trigonometry Relate sine theorem to spherical triangles New method of sine tables Sin30 correct to eighth decimal place 2 sin2 (a/2) = 1 - cos a and
sin a = 2 sin (a/2) cos (a/2) developed Table of tangents Secant and cosecant

  15. OMAR AL-KHAYYAM Algebra Classify equations-based on complexity, degree, number of terms Offer solutions-cubic equations Binomial theorem, binomial coefficients Contribute to theory of parallel lines

  16. NASIR AL-DIN AL-TUSI Trigonometry Compiled as a subject of study 6 formulas for the solutions of spherical right angle triangles

  17. Location of Mathematicians • Born throughout Islamic Empire • Turkey, Nishapur, Aral Sea • All flourished in Baghdad

  18. Bibliography “The Islamic Tradition.” John B. Christopher. Harper and Row Publishers. 1972. p 123-125. “Great Moments in Mathematics, Before 1650.” Howard Eves. The Mathematical Association of America. 1983. p 160. http://www.ummah.net/history/scholars/

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