The **International Congress of Mathematicians** meets August 22-30, 2006 in Madrid, Spain. For general information on the Congress, click here.

The History of Mathematics is section 20 of the Congress. There are two invited addresses in that section. For abstracts of the talks, click here and follow the links.

**Leo Corry**, Tel Aviv University, Tel Aviv, Israel: On the origins of Hilbert's sixth problem: physics and the empiricist approach to axiomatization (Thursday, August 24, 18:00-18:45)

**Niccolò Guicciardini**, Università di Siena, Siena, Italy: Method versus calculus in Newton's criticisms of Descartes and Leibniz (Saturday, August 26, 17:00-17:45)

The Short Communications in section 20 are listed below. For abstracts of the talks, click here and follow the links.

**Musa Akrami**, Islamic Azad University, Tehran, Iran

Menelaus' theorem from Bûzajânî and Abû Nasr Irâq to Tûsî

Friday, August 25, 18:10-18:30

**Roger Baker**, Brigham Young University, Provo, USA

Trigonometric series from 1855 to 1876

Friday, August 25, 19:20-19:40

**Eric Barbazo**, IREM, Talence, France

The role of the association of mathematics teachers in the creation of the research institutes in mathematics (IREM) in France in 1969. 1955-1975: modern mathematics and the major transformations of mathematics education in high school curricula.

Thursday, August 24, 17:15-17:35

**Ari Belenkiy**, Bar-Ilan University, Ramat Gan, Israel

Newton and regression analysis

Saturday, August 26, 15:15-15:35

**Harry B. Coonce**, North Dakota State University, Vernon Center, USA

The genealogy project at 100,000

Saturday, August 26, 18:10-18:30

**Gregg Deyoung**, The American University in Cairo, Cairo, Egypt

Numerical examples in manuscripts of Euclid's elements

Friday, August 25, 19:40-20:00

**Luis Español González**, Universidad de La Rioja, Logroño, Spain

1931: a Spanish book on summability by Julio Rey Pastor

Saturday, August 26, 19:20-19:40

**Mauro García Pupo**, University of Holguin, Holguin, Cuba

Filiations and ruptures with the redundancy in the mathematics and the computer sciences

Thursday, August 24, 16:05-16:25

**Livia Giacardi**, Università di Torino, Torino, Italy

Castelnuovo, Enriques and the influence of Klein on Italian mathematics teaching

Saturday, August 26, 18:30-18:50

**S. Moghtada Hashemiparast**, K. N.Toosi University of Technology, Tehran, Iran

Iranian cryptography in the middle ages

Saturday, August 26, 16:05-16:25

**Snezana Lawrence**, St. Edmund's Catholic School / British Society for the History of Mathematics Education Section Editor, Dover, UK

Alternatives to descriptive geometry - history of a french geometrical technique in England

Saturday, August 26, 19:40-20:00

**Erika Luciano**, Università di Torino, Torino, Italy

At the origins of functional analysis: Peano and Gramegna on ordinary differential equations

Saturday, August 26, 16:25-16:45

**Aleksandar Nikoliæ**, University of Novi Sad, Novi Sad, Serbia & Montenegro

Mathematician Vojislav G. Avakumoviæ (1910-1990)

Saturday, August 26, 14:55-15:15

**Elena Prestini**, Università di Roma Tor Vergata, Roma, Italy

Harmonic analysis in the history of science and technology

Saturday, August 26, 16:55-17:15

**Paolo Rocchi**, IBM, Roma, Italy

Historical notes upon the origin of the probability argument

Thursday, August 24, 17:35-17:55

**A. Latif Samian**, National University of Malaysia, Bangi, Malaysia

Nature in Newton's philosophy of mathematics

Thursday, August 24, 16:25-16:45

**Anastasia Tsigoni**, University of Athens, Athens, Greece

The factors of the mathematical studies in the enslaved Greece and Ottoman empire (1455-1821)

Saturday, August 26, 17:15-17:35

**Piedad Yuste**, Universidad Nacional de Educación a Distancia, Madrid, Spain

Geometry in the ancient Babylon. A possible interpretation of tablet YBC 8633

Thursday, August 24, 16:55-17:15

There are also four poster presentations in the History section. For abstracts of these, click here.

**M. Carmen Escribano Ródenas**, Universidad San Pablo-CEU, Madrid, Spain

Historical evolution of generalized criteria in the multiple criteria decision making

Tuesday, August 29, 17:00-18:00

**Rafael Lahoz Beltra**, Universidad Complutense de Madrid, Madrid, Spain

Reconstruction of historical calculus and simulations using retrocomputing techniques: the 'box-accumulator rule'

Tuesday, August 29, 17:00-18:00

**M. Ángeles Martínez García**, Universidad de La Rioja, Logroño, Spain

Spanish doctorate in exact sciences between 1900 and 1931

Tuesday, August 29, 17:00-18:00

**Karin Verlest**, Vrije Universiteit Brussel, Brussel, Belgium

Zeno's paradoxes: a cardinal problem

Tuesday, August 29, 17:00-18:00