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LECTURE NOTES ON APPLIED MATHEMATICS

LECTURE NOTES ONAPPLIED MATHEMATICSM ethods and ModelsJohn K. HunterDepartment of MathematicsUniversity of California, DavisJune 17, 2009 Copyrightc 2009 by John K. HunterContentsLecture 1. Introduction11. Conservation laws12. Constitutive equations23. The KPP equation3 LECTURE 2. Dimensional Analysis, Scaling, and Similarity111. Systems of units112. Scaling123. Nondimensionalization134. Fluid mechanics135. Stokes formula for the drag on a sphere186. Kolmogorov s 1941 theory of turbulence227. Self-similarity258.

Jun 17, 2009 · Stochastic di erential equations 160 8. Financial models 167 Bibliography 173. LECTURE 1 Introduction The source of all great mathematics is the special case, the con-crete example. It is frequent in mathematics that every instance ... and dS denotes integration with respect to surface area. Equation (1.1) is the integral form of conservation ...

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