- Title
- A short walk can be beautiful
- Creator
- Borwein, Jonathan M.
- Relation
- Journal of Humanistic Mathematics Vol. 6, Issue 1, p. 86-109
- Publisher Link
- http://dx.doi.org/10.5642/jhummath.201601.07
- Publisher
- Claremont Center for the Mathematical Sciences
- Resource Type
- journal article
- Date
- 2016
- Description
- 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.
- Subject
- beauty; short random walks; moments; hypergeometric functions; Bessel integrals; Narayana numbers
- Identifier
- http://hdl.handle.net/1959.13/1338235
- Identifier
- uon:27989
- Identifier
- ISSN:2159-8118
- Rights
- © 2016 by the authors. This work is licensed under a Creative Commons License.
- Language
- eng
- Full Text
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