The two themes that run through Joseph A. Gallian’s service to mathematics are (a) encouraging young mathematicians and helping them to develop successful careers and (b) communicating mathematics to the widest possible audience. He was one of the early proponents of undergraduates conducting mathematical research, and his REU at Duluth, which began in 1977, is widely regarded as the premier RE...

It is with some disbelief that I stand here and prepare to address this gathering on the subject of the importance of mathematics. For a start, it is an extraordinary honour to be invited to give the keynote address at a millennium meeting in Paris. Secondly, giving a lecture on the significance of mathematics demands wisdom, judgment and maturity, and there are many mathematicians far better e...

Since the 1930s, mathematicians and computer scientists have been interested in computation. While investigate recursion theory, computational complexity based on Turing machine model to understand what a computation is. Beside them, there is another approach of research computation, which investigation puzzles games. Once we regard rules used games as set basic operations can perform some by s...