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Mathematics is not, and never will be, an empirical science, but
mathematicians are finding that the use of computers and
specialized software allows the generation of mathematical insight
in the form of conjectures and examples, which pave the way for
theorems and their proofs. In this way, the experimental approach
to pure mathematics is revolutionizing the way research
mathematicians work. As the first of its kind, this book provides
material for a one-semester course in experimental mathematics that
will give students the tools and training needed to systematically
investigate and develop mathematical theory using computer programs
written in Maple. Accessible to readers without prior programming
experience, and using examples of concrete mathematical problems to
illustrate a wide range of techniques, the book gives a thorough
introduction to the field of experimental mathematics, which will
prepare students for the challenge posed by open mathematical
problems.
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