Transcription of Mathematics and Science - NSF
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Mathematics and Science - NSF
National Science Foundation Division of Mathematical SciencesMathematics and ScienceDr. Margaret WrightProf. Alexandre ChorinApril 5, 1999 PREFACET oday's challenges faced by Science and engineering are so complex that they can only be solvedthrough the help and participation of mathematical scientists. All three approaches to Science ,observation and experiment, theory, and modeling are needed to understand the complexphenomena investigated today by scientists and engineers, and each approach requires themathematical sciences . Currently observationalists are producing enormous data sets that canonly be mined and patterns discerned by the use of deep statistical and visualization , there is a need to fashion new tools and, at least initially, they will need to be fashionedspecifically for the data involved. Such will require the scientists, engineers, and mathematicalscientists to work closely theory is always expressed in mathematical language. Modeling is done via themathematical formulation using computational algorithms with the observations providing initialdata for the model and serving as a check on the accuracy of the model.
1 Overview Mathematics and science1 have a long and close relationship that is of crucial and growing importance for both. Mathematics is an intrinsic component of science, part of its fabric, its universal language and indispensable source of intellectual tools.
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