Experimental mathematics
نویسندگان
چکیده
منابع مشابه
Experimental Mathematics
The rise of the field of ‘‘experimental mathematics’’ poses an apparent challenge to traditional philosophical accounts of mathematics as an a priori, nonempirical endeavor. This paper surveys different attempts to characterize experimental mathematics. One suggestion is that experimental mathematics makes essential use of electronic computers. A second suggestion is that experimental mathemati...
متن کاملMathematics: An Experimental Science
Albert Einstein once said “You can confirm a theory with experiment, but no path leads from experiment to theory.” But that was before computers. In mathematical research now, there’s a very clear path of that kind. It begins with wondering what a particular situation looks like in detail; it continues with some computer experiments to show the structure of that situation for a selection of sma...
متن کاملExperimental Applied Mathematics
“Experimental applied mathematics” comprises the usage of modern computer technology as an active agent of research, for the purposes of gaining insight and intuition, discovering new patterns and relationships, testing and conjectures, and confirming analytically derived results, much in the same spirit that laboratory experimentation is employed in the physical sciences. It is closely related...
متن کاملWhat ’ s experimental about experimental mathematics ? ∗
From a philosophical viewpoint, mathematics has often and traditionally been distinguished from the natural sciences by its formal nature and emphasis on deductive reasoning. Experiments — one of the corner stones of most modern natural science — have had no role to play in mathematics. However, during the last three decades, high speed computers and sophisticated software packages such as Mapl...
متن کاملTen Problems in Experimental Mathematics
This article was stimulated by the recent SIAM “100 Digit Challenge” of Nick Trefethen, beautifully described in [12]. Indeed, these ten numeric challenge problems are also listed in [14], where they are followed by the ten symbolic/numeric challenge problems that are discussed in this article. Our intent was to present ten problems that are characteristic of the sorts of problems that commonly...
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ژورنال
عنوان ژورنال: Journal of Approximation Theory
سال: 1985
ISSN: 0021-9045
DOI: 10.1016/0021-9045(85)90153-4