A Silent Revolution in Mathematics
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چکیده
F ifty years ago there has been still a clear cut separation between pure and applied mathematics: pure mathematics had its home in the Olympus of academic sciences, whereas applied mathematics was left to the technical universities for teaching and research. Some time ago a colleague of mine from the department of mechanics of the Technical University of Vienna said partly amused partly offended: ‘‘Our people in the math department do pure mathematics, is it then dirty mathematics what I am doing?’’ Mathematics has undergone a true silent revolution within the last few decades. The difference between pure and applied mathematics—thought to be fundamental in the past—has almost completely disappeared. Computer modeling in science is in widespread use and almost every university houses a department for computational science but this is only one usage of electronic computers in present day mathematics although a very powerful one. As most people are familiar with the achievements and problems of numerical modeling and computer simulations, we shall focus here more on other issues that are not so much commonplace.
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تاریخ انتشار 2013