**EXTENSION LECTURES**

ã€€Every summer since 1996 we are organizing Extension Lectures "Introduction to the Mathematics". The purpose is to show, mainly for high school students, how mathematics is useful and what will be beyond the mathematics they learn in their high school.

The programs of past years:

- 22 July - 25 July, 1996
- Combinatrics and analytic functions (Yoshishige Haraoka)
- Introduction to geometry -- people living on the sphere (Kotaro Yamada)
- On polygons (Akira Endou)
- Probability of numbers starting from 1 (Yoshitaka Yokoi)
- 4 Aug. - 7 Aug., 1997
- How we can know the shape of the universe (Hisao Inoue)
- Transformation groups and topology (Yoshinobu Kamishima)
- Mathematics of some game (Kanroku Aoyama)
- Cosmos of analytic functions (Yoshishige Haraoka)
- 3 Aug. - 6 Aug., 1998
- Interesting polynomials (Yoshishige Haraoka)
- Binary expansions and random walk (Masuyuki Hitsuda)
- Mathematics in personal computer (Shinichi Ohwaki)
- Integers and their friends (Atsumi Watanabe)
- Developement of analysis and related topics (Joe Kamimoto)
- 2 Aug.8 - 5 Aug., 1999
- 1/3=0.33333.... (Akira Endou)
- Usual logic and unusual logic (Hiromitsu Okazaki)
- Statistics and mathematics (Yoshikazu Takada)
- What are differential equations? (Mitsuhiko Kohno)
- 31 July - 3 Aug. , 2000
- Wonderland of prime numbers (Yoshishige Haraoka)
- What we can see from the linear equation ax=b (Mikio Furushima)
- From trigonometric functions to elliptic functions (Hironobu Kimura)
- 22 Aug. - 25 Aug., 2001
- Closed curves on a surface; From exterior angle theorem to theorem of Gauss-Bonnet (Osamu Kobayashi)
- Introduction to the infinity (Kaoru Ikeda)
- Numbers -- History of notation and calculation (Kazuo Suzuki)
- Quasi periodic functions and fractal dimensions (Koichiro Naito)
- 5 Aug. - 7 Aug., 2002
- Typewriter's melancholy -- what is Entropy (Fumiaki Sugisaki)
- Impromptu (Osamu Kobayashi)
- What is Matrix (Yoshishige Haraoka)
- 4 Aug. - 6 Aug., 2003
- Amida-lottery (Hiroyoshi Yamaki)
- Randomness (Masuyuki Hitsuda)
- On curvatures of surfaces (Naoya Ando)
- 2 Aug. - 3 Aug., 2004
- Entropy in information science (Daehong Kim)
- Kepler, Galileo and Newton (Yoshishige Haraoka)
- 1 Aug. - 2 Aug., 2005
- Invitation to the theory of probability (Yuji Hamana)
- Infinity -- a curious world (Fumiaki Sugisaki)
- 31 July - 1 Aug., 2006
- Complex numbers (Takeshi Wada)
- On Galileo Galilei (Yoshishige Haraoka)
- 30 July - 31 July, 2007
- Ideal boundary and the method of stereographic projection (Mikio Furushima)
- What can computer do, and what cannnot? (Katsutoshi Yamanoi)
- 28 July - 29 July, 2008
- Polyhedron, surface and Euler's identity (Hironobu Kimura)
- Matrix, function, regular triangle and equation (Naoki Chigira)
- 30 July - 31 July, 2009
- On modular arithmetic (Takeshi Abe)
- Computing π (Kazuhiro Kuwae)
- 29 July - 30 July, 2010
- Möbius inversion formula (Atsumi Watanabe)
- Fermat's last theorem (Hiroaki Narita)