Borwein, Jonathan M. (2005) The Experimental Mathematician: The Pleasure of Discovery and the Role of Proof. International Journal of Computers for Mathematical Learning, 10 . pp. 75-108.
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The emergence of powerful mathematical computing environments, the growing availability of correspondingly powerful (multi-processor) computers and the pervasive presence of the internet allow for mathematicians, students and teachers, to proceed heuristically and `quasi-inductively'. We may increasingly use symbolic and numeric computation, visualization tools, simulation and data mining. The unique features of our discipline make this both more problematic and more challenging. For example, there is still no truly satisfactory way of displaying mathematical notation on the web; and we care more about the reliability of our literature than does any other science. The traditional role of proof in mathematics is arguably under siege---for reasons both good and bad.
|Additional Information:||pubdom FALSE|
|Uncontrolled Keywords:||proof, insight, aesthetics, experimental mathematics, constructivism, integer relations, humanist philosophy.|
|Subjects:||97-xx Mathematics education > 97Cxx Psychology of and research in mathematics education|
00-xx General > 00Axx General and miscellaneous specific topics
|Depositing User:||Users 1 not found.|
|Date Deposited:||01 Aug 2004|
|Last Modified:||12 Jan 2015 14:31|
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