History of Math Topics
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MATH 3300: The History of Math Dr. Swienciki January 2013 History of Math Topics 1 MATH 3300: The History of Math Dr. Swienciki January 2013 History of Math Topics Challenge: When you select a math topic, you will need to consider the evaluation form I use to grade. You are required to have specific math content in your formal paper and your presentation. The prerequisite for the history of math is calculus 1, with at least a grade of C. This means you have developed quite a bit of mathematical maturity. Most likely, you will encounter math you have not seen before. Therefore, it is a challenge to think outside the box. Consider carefully the various topics you can choose from on the list. Your Choices: When considering the topics, select a second or third choice, because another student may have selected the one you signed up for. Also, if a topic does not appear on the list that you would like to do, then we can discuss this and I may approve a topic not on the list. Order of Presentations: The topics are numbered. When you give your presentation to the class, the order of presentations is numerical. If a student is absent on the day that there presentation is to be made, then their presentation is transferred to the end. However, 50 points of the 500 points are to be deducted, in fairness to the other students. If you are in a documented auto accident, hospitalization, or serious illness under a doctor’s care, I can give consideration to the deduction of the 50 points. List of Topics Mesopotamia is a poular topic. If you select this topic, you are required to discuss the Babylonian cuniform base 60 numeral system and explain how it is used. The topic should include information on some of the higher mathematics found in the Yale tablet: Plimpton 322. In explain base 60, you need to understand you to convert from decimal system into base 60. You also need to understand, the reverse process, converting base 60 numerals into our decimal system. 2 MATH 3300: The History of Math Dr. Swienciki January 2013 1. Mesopotamia 2. Egypt 3. 4. 5. 6. 7. 8. 9. 10. 11. Ancient Greek Ancient Greek China China India India India India Mexico List of Topics Babylonian Cuneiform numerals, converting base 60 and base 10, Basic Operations. Babylonian Geometry, Tables for Higher math operations. Hieroglyphic & hieratic numerals, basic operations of arithmetic. Geometry, sequences, false position, unit fractions. Thales of Miletus Pythagoras of Samos The Nine Chapters of Mathematical Art The Sea Island Manual, Problems, problems 3-9 Aryabhata Brahmagupta Bhaskara Ramanujan The Mayan base 20 numerals and calendar. 3 MATH 3300: The History of Math Dr. Swienciki January 2013 List of Topics 12. Ancient Greek Anaxagoras of Clazomenae 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Greek Greek Greek Greek Greek Greek Greek Greek Greek Greek Hippocrates of Chios Aristarchus of Samos Autolycus of Pitane Archytas of Tarentum Eudoxus of Cnidus Democritus Diophantus of Alexandria Eratosthenes Apollonius of Perga Theon of Alexandria 23. 24. 25. 26. 27. 28. 29. 30. 31. 32. 33. 34. Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Ancient Greek Greek Greek Greek Greek Greek Greek Greek Greek Greek Greek Greek Hypatia Papus of Alexandria Heron of Alexandria Plato Aristotle Zeno of Elea Archimedes Claudius Ptolemy Nicomachus of Geresa Proclus Hipparchus of Nicaea Theaetetus 4 MATH 3300: The History of Math Dr. Swienciki January 2013 List of Topics 35. Persian al-Kahwarizmi 36. 37. 38. 39. 40. 41. 42. 43. 44. 45. Persian Europe Europe Europe Europe Europe Europe Europe Europe Europe Omar Khayam Gerbert Leonardo da Pisa Galileo Galilei Johann Kepler Nicolaus Copernicus Rene Descartes Maria Agnesi Leonard Euler 46. 47. 48. 49. 50. 51. 52. 53. 54. 55. 56. 57. 58. 59. 60. 61. 62. 63. 64. 65. 66. Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Mexican Mexican English English Europe Fermat Sophie Germain Sir Isacc Newton Leibniz Augustin-Louis Cauchy John Napier of Merchiston Carl Friedrich Gauss George Cantor George Boole Giovanni Girolamo Saccheri Eugenio Beltrami Amalie Emmy Noether Jerome Cardan János Bolya George Friedrich Berhard Riemann Jacob Bernoulli Nina Karlovna Bari Rutrh Gonzales Rodolfo Neri Vela Brook Taylor Sir William Rowan Hamilton Bernhard Placidus Johann Nepomuk Bolzano 5 MATH 3300: The History of Math Dr. Swienciki January 2013 List of Topics 67 Europe Christian Hygens 68. 69 70 71. 72. 73. 74. 75. 76. 77 Europe Europe American Europe English Europe Europe Europe Europe Europe . Karl Theodor Wilhelm Weierstrass Nickolai Ivanovich Lobachevsky Clifford V. Johnson Niels Hendrik David Bohr Sir Christopher Wren Johann Heinrich Lambert Jules Henri Poincaré Bonaventura Cavalieri Gerard Desargues 78. 79. 80. 81. 82. 83. 84. 85. 86. 87. 88. 89. 90. 91. 92. 93. 94. 95. 96. 97. 98. Europe English Scottish Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe Europe English Europe Gabriel Cramer John Wallis Colin MacLaurin Nicolaus Bernoulli Jean-Baptiste le Rond d'Alembert Joseph-Louis Lagrange Pierre-Simon, marquis de Laplace Gaspard Monge, Comte de Péluse Jean Baptiste Joseph Fourier Jean-Victor Poncelet Friedrich Wilhelm Bessel Nicolas Léonard Sadi Carnot Paulo Ruffini Evangelista Torricelli Marie Jean Antoine Nicolas de Caritat, marquis de Condorcet Felix Klein Dedikind Jacob Steiner Bertrand Russell Niels Hendrick Abel Albert Einstein Gen Charles Denis Sauter Bourbaki 6 MATH 3300: The History of Math Dr. Swienciki January 2013 List of Topics 99. Europe Félix Édouard Justin Émile Borel 100. 101. 102. 103. 104. 105. 106. 107. 108. 109. American Europe Europe Europe American American American American American Scottish . Julius Robert Oppenheimer Hendrik Antoon Lorentz Werner Karl Heisenberg 110. 111. 112. 113. 114. 115. 116. English American American American African American American Mary Cartwright Helen Merrill Dorothy McCoy William A. Massey Idris Assani Carlos Castillo-Chavez Francisco Javier González-Acuña Wernher Magnus Maximilian, Freiherr von Braun Marjorie Lee Browne Richard Dagobert Brauer Agnes Meyer Driscoll Marguerite Lehr Nancy Jane Kopell Sheila Scott
