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Introduction to the Foundations of Applied Mathematics
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Introduction to the Foundations of Applied Mathematics

Introduction to the Foundations of Applied Mathematics

Mark H. Holmes

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468 pages, parution le 30/06/2009
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Résumé

This book deals with the construction, analysis and interpretation of mathematical models to help us understand the world. It develops the mathematical and physical ideas that are fundamental in understanding contemporary problems in science and engineering.

FOAM. This acronym has been used for over ?fty years at Rensselaer to designate an upper-division course entitled, Foundations of Applied Ma- ematics. This course was started by George Handelman in 1956, when he came to Rensselaer from the Carnegie Institute of Technology. His objective was to closely integrate mathematical and physical reasoning, and in the p- cess enable students to obtain a qualitative understanding of the world we live in. FOAM was soon taken over by a young faculty member, Lee Segel. About this time a similar course, Introduction to Applied Mathematics, was introduced by Chia-Ch'iao Lin at the Massachusetts Institute of Technology. Together Lin and Segel, with help from Handelman, produced one of the landmark textbooks in applied mathematics, Mathematics Applied to - terministic Problems in the Natural Sciences. This was originally published in 1974, and republished in 1988 by the Society for Industrial and Applied Mathematics, in their Classics Series. This textbook comes from the author teaching FOAM over the last few years. In this sense, it is an updated version of the Lin and Segel textbook.Dimensional Analysis.- Perturbation Methods.- Kinetics.- Diffusion.- Traffic Flow.- Continuum Mechanics: One Spatial Dimension.- Elastic and Viscoelastic Materials.- Continuum Mechanics: Three Spatial Dimensions.- Fluids.

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  PAPIER
Éditeur(s) Springer
Auteur(s) Mark H. Holmes
Parution 30/06/2009
Nb. de pages 468
EAN13 9780387877495

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