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Introduction To Partial Differential Equations (With Maple), An: A Concise Course (Hardcover)
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Introduction To Partial Differential Equations (With Maple), An: A Concise Course (Hardcover)
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The book is designed for undergraduate or beginning level graduate
students, and students from interdisciplinary areas including
engineers, and others who need to use partial differential
equations, Fourier series, Fourier and Laplace transforms. The
prerequisite is a basic knowledge of calculus, linear algebra, and
ordinary differential equations.The textbook aims to be practical,
elementary, and reasonably rigorous; the book is concise in that it
describes fundamental solution techniques for first order, second
order, linear partial differential equations for general solutions,
fundamental solutions, solution to Cauchy (initial value) problems,
and boundary value problems for different PDEs in one and two
dimensions, and different coordinates systems. Analytic solutions
to boundary value problems are based on Sturm-Liouville eigenvalue
problems and series solutions.The book is accompanied with enough
well tested Maple files and some Matlab codes that are available
online. The use of Maple makes the complicated series solution
simple, interactive, and visible. These features distinguish the
book from other textbooks available in the related area.
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