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Free Download Differential Equations With Applications And Historical Notes By Simmons 42

the basic theory of the theory of differential equations is briefly reviewed, with an emphasis on the use of functional analysis for the analysis of differential equations. the theory is then applied to solve a system of non-linear ordinary differential equations arising in the analysis of a problem in fluid dynamics. the case treated is a partial differential equation arising in the calculation of the solution to the navier-stokes equations in which an explicit algebraic equation for the solution is sought. the method for solving the algebraic equation is developed in the final section of the chapter.

this book provides an overview of the theory of differential equations and the problems that arise from their use. rather than concentrate on a particular subject, the book provides a general perspective with a few examples selected to illuminate the topics. the book is intended to be useful both for the student taking an introductory course on differential equations and for the experienced student wanting to refresh his or her knowledge of these topics.

george f. simmons has academic degrees from the california institute of technology, pasadena, california; the university of chicago, chicago, illinois; and yale university, new haven, connecticut. he taught at several colleges and universities before joining the faculty of colorado college, colorado springs, colorado, in 1962, where he is currently a professor of mathematics. in addition to differential equations with applications and historical notes, third edition (crc press, 2016), professor simmons is the author of introduction to topology and modern analysis (mcgraw-hill, 1963), precalculus mathematics in a nutshell (janson publications, 1981), and calculus with analytic geometry (mcgraw-hill, 1985).

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