A Short Walk can be Beautiful

Journal of Humanistic Mathematics

Borwein, Jonathan M¹ 

[1] University of Newcastle

关键词: beauty;    short random walks;    moments;    hypergeometric functions;    Bessel integrals;    Narayana numbers;   

DOI  :  10.5642/jhummath.201601.07

学科分类：卫生学

来源: Cleveland Clinic Educational Foundation

【 摘 要 】

The story I tell is of research undertaken, with students and colleagues, in the last six or so years on short random walks. As the research progressed, my criteria for `beauty' changed. Things seemingly remarkable became `simple' and other seemingly simple things became more remarkable as our analytic and computational tools were refined, and understanding improved. I intentionally display some rather advanced mathematics as it is my contention -- as with classical music -- that one can learn to appreciate and enjoy complex formulas without needing to understand them deeply.

【 授权许可】

Unknown