Date and Time (China standard time): Thursday, Feb 26, 11:30am – 12:30pm

Location: IB 2050

Speaker: Dr. Toshiyuki Sugawa, Tohoku University

Abstract:

We first recall the definition of Napier’s number (the base of natural logarithm) and trigonometric functions. Then we introduce to Euler’s formula. We next show the strength of this formula; many formulas in trigonometric functions may be deduced in a simple way by using Euler’s formula. Finally, we try to give a couple of possible proofs of Euler’s formula.

Bio:

Professor Toshiyuki Sugawa is a Professor at the Graduate School of Information Sciences, Tohoku University, Japan. He received his Doctor of Science from Kyoto University in 1995 and has held academic positions at Kyoto University, Hiroshima University, and Tohoku University. His research lies in complex analysis and geometric function theory, with particular interests in quasiconformal mappings, hyperbolic metrics, univalent functions, Riemann surfaces, Teichmüller spaces, and complex dynamics. He has authored over 100 research papers in leading international journals and has made significant contributions to conformal invariants, Schwarzian derivatives, and geometric aspects of analytic functions.