Mathematics and Innovation in Engineering

Author:

Beretta Elena1,Gandolfi Alberto2,Sastri C.C.A.3

Affiliation:

1. Università di Roma La Sapienza

2. Università di Firenze

3. University of Missouri

Abstract

We present some examples of mathematical discoveries whose original import was mainly theoretical but which later ended up triggering extraordinary ad- vances in engineering, sometimes all the way down to technological realizations and market products. The examples we cite include Markov chains and Markov random fields, spin glasses, large deviations and the inverse conductivity problem, and their effects in various areas such as communication and imaging technologies.

Publisher

Trans Tech Publications, Ltd.

Subject

Mechanical Engineering,Mechanics of Materials,General Materials Science

Reference38 articles.

1. Wigner, E, The Unreasonable Effectiveness of Mathematics in the Natural Sciences, in Communications in Pure and Applied Mathematics, vol. 13, No. I (1960). New York: John Wiley and Sons, Inc.

2. Lucio Russo, The Forgotten Revolution: How Science Was Born in 300 BC and Why It Had To Be Reborn, Berlin, Springer, (2004).

3. Albert Einstein, Maxwell's Influence on the Development of the Conception of Physical Reality, in James Clerk Maxwell: A Commemorative Volume 1831-1931, 66-73, Cambridge, Cambridge University Press (1931).

4. (1998), Larry Page, Sergey Brin, R. Motwani, T. Winograd, The PageRank citation ranking: bringing order to the web, Stanford Digital Library Technologies Project.

5. N. Metropolis, A.W. Rosenbluth, M.N. Rosenbluth, A.H. Teller and E. Teller. Equations of State Calculations by Fast Computing Machines,. Journal of Chemical Physics, 21(6): 1087-1092, (1953).

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