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TitleTrends and Perspectives in Applied Mathematics [electronic resource] / edited by Lawrence Sirovich
ImprintNew York, NY : Springer New York : Imprint: Springer, 1994
Connect tohttp://dx.doi.org/10.1007/978-1-4612-0859-4
Descript XII, 337 p. online resource

SUMMARY

This marks the 100th volume to appear in the Applied Mathematical Sciยญ ences series. Partial Differential Equations, by Fritz John, the first volume of the series, appeared in 1971. One year prior to its appearance, the then mathematics editor of Springer-Verlag, Klaus Peters, organized a meeting to look into the possibility of starting a series slanted toward applications. The meeting took place in New Rochelle, at the home of Fritz and Charยญ lotte John. K.O. Friedrichs, Peter Lax, Monroe Donsker, Joe Keller, and others from the Courant Institute (previously, the Institute for Mathematยญ ical Sciences) were present as were Joe LaSalle and myself, the two of us having traveled down from Providence for the meeting. The John home, a large, comfortable house, especially lent itself to the informal, relaxed, and wide-ranging discussion that ensued. What emerged was a consensus that mathematical applications appeared to be poised for a period of growth and that there was a clear need for a series committed to applied mathematics. The first paragraph ofthe editorial statement written at that time reads as follows: The mathematization of all sciences, the fading of traditional scientific boundaries, the impact of computer technology, the growing importance of mathematical-computer modeling and the necessity of scientific planning all create the need both in education and research for books that are introductory to and abreast of these developments


CONTENT

1 Mathematical Problems in Classical Physics -- 2 Geometric and Analytic Studies in Turbulence -- 3 Riemann Maps and World Maps -- 4 Symmetry of Attractors and the Karhunenโ{128}{148}Loรจve Decomposition -- 5 Viscous and Viscoelastic Potential Flow -- 6 Singularities and Similarities in Interface Flows -- 7 Difference Methods for Time-Dependent Partial Differential Equations -- 8 Statistical Mechanics of Nonlinear Wave Equations -- 9 Geometric Mechanics, Stability, and Control -- 10 Applications of Inertial Manifolds to Scientific Computing: A New Insight in Multilevel Methods


Mathematics Applied mathematics Engineering mathematics Mathematics Applications of Mathematics



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