1. SUNY Ulster - JULY 2010History of Greek Mathematics:Greece, Turkey & Italy

2. I would like to express my gratitude to the following individuals and groups who have contributed to the success of this course and mathematical tour: President Katt and the SUNY Ulster Board of Trustees Victoria St. John-Gilligan and the St. John Family Fund Marianne Collins and the SUNY Ulster Foundation Dean of Academics: Dr. John Ganio Director of International Programs: Richard Cattabiani Adjunct Professor of Art: Frank Boyer, SUNY Ulster Professor of Mathematics: Dr. V. Frederick Rickey, USMA West Point Assistant Professor of Philosophy: Ah Tau Teo, SUNY Ulster Assistant Professor of History: Dr. Nichola Harris, SUNY Ulster Professor of Classics: Dr. Carolyn Dewald, Bard College Professor of Physics: Dr. Theo J. Mertzimekis, Institute Of Nuclear Physics, Greece Kari Mack, Judith Perry and the Macdonald DeWitt Library Instructional Designer: Hope Windle Instructional Design Student Aide: Scott McDonald Lily Levy-Harhay and Total Tours International

3. The Parthenon

4. Miguel Discussing the Antikythera Mechanismat the National Archeological Museum (Athens)

5. Prof. Theo J. MertzimekisDiscussing Ancient Astronomy

6. Hellenic Cosmos: Cultural CenterHistory of Greek Mathematics

7. Thales: Measuring the Pyramids

8. Euclid: I.47

9. Raphael’s School of Athens

10. Ferry to Samos

11. Samos

12. Pythagorio Village

13. Pythagoras of Samosc. 569 BCE – c. 475 BCE

14. Tunnel of Eupalinos Entrance c. 550 BCE

15. Tunnel of Eupalinosc. 550 BCE

16. Ken Descending

17. Inside the Tunnel

18. Turkey (a.k.a. Asia Minor)

19. Ephesus, Turkey

20. Library of Celsus, 135 CE

21. Ephesus

22. Kaitlyn Presenting at Ephesus

23. Lunchtime in Turkey

24. Where Does Silk Thread Come From?

25. Handmade Carpets

26. Attention to Detail!

27. Carpets Galore!

28. Arriving in Mykonos

29. Mykonos

30. Getting from A to B

31. “B”

32. View from the Hotel

33. A Better View from Hotel

34. The Mediterranean Sea

35. Delos

36. Delos: Archeological Ruins

37. Solving the Delian Problem

38. Front Row Seats!

39. Fred and Charlotte at the Parthenon Museum

40. Magna Graecia(Greater Greece)

41. Fontana di DianaArchimedes’ Plaza, Syracuse, Sicily

42. Fred and AnnaPiazza Archimede

43. Getting from A to B

44. Duomo di Siracusa(Syracuse Cathedral)

45. Catholic Church IncorporatingColumns of a Greek Temple

46. Inside the Church

47. Roman AmphitheaterArcheological Park, Syracuse, Sicily

48. Greco Teatro(Greek Theater)

49. Archimedes’ Technology Park

56. What Accomplishment was Archimedes Proudest of?

57. Model of City Walls & Fortifications

58. Castello Eurialo(Eryalus Castle)

59. Defensive Moat

60. TunnelPart of the Castle’s Fortifications

61. Tunnel Entrance(from Moat)

62. Defender’s Side of Entrance

63. Syracuse’s Seawall(also Defended by Archimedes)

65. The Death of Archimedes212 BCE – 2nd Punic War

66. Taormina, Sicily

67. Looking in the Other Direction

68. Mt. Etna

69. Lava Flow

70. Trails Along the Lava Fields

71. Adventurous Mathematicians!

72. You Can’t Get There From Here…

73. Lunchtime on the Slopes of Mt. Etna

74. Winepress

75. ROME

76. The Pantheon (126 CE)Rome’s Most Complete Building from Antiquity

77. Inside the Pantheon

78. The Oculus

79. Geometry in Architecture

80. Down-Time in Rome

81. We shall not cease from exploration, and the end of all our exploring will be to arrive where we started and know the place for the first time. - T. S. Eliot