Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation

partial differential equations in mechanics 1: fundamentals, laplace's equation, diffusion equation, wave equation

more information about Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation

Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation

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Book Description
This two-volume work mainly addresses undergraduate and graduate students in the engineering sciences and applied mathematics. Hence it focuses on partial differential equations with a strong emphasis on illustrating important applications in mechanics. The presentation considers the general derivation of partial differential equations and the formulation of consistent boundary and initial conditions required to develop well-posed mathematical statements of problems in mechanics. The worked examples within the text and problem sets at the end of each chapter highlight engineering applications. The mathematical developments include a complete discussion of uniqueness theorems and, where relevant, a discussion of maximum and miniumum principles. The primary aim of these volumes is to guide the student to pose and model engineering problems, in a mathematically correct manner, within the context of the theory of partial differential equations in mechanics.

Book Info
Volume one of a two-volume set of monographs aimed at undergraduate and graduate students in mathematics and engineering. Volume one contains chapters one through seven, out of a total of nine chapters, and is mainly meant for senior undergraduates in engineering, as it covers topics such as waves in elastic solids and fluid flow. Volume two is also available.

Partial Differential Equations in Mechanics 1: Fundamentals, Laplace's Equation, Diffusion Equation, Wave Equation,A.P.S. Selvadurai,Springer,3540672834,Advanced,Analytic Mechanics (Mathematical Aspects),Applied,Differential Equations,Differential Equations - Partial Differential Equations,Differential equations, Partia,Differential equations, Partial,Engineering - Mechanical,Mathematics,Mechanics, Analytic,Partial Differential Equations,Science/Mathematics,Applied mechanics,Laplace,Mechanical Engineering & Materials,Technology / Engineering / Mechanical,applied mathematics,diffusion,fluid mechanics,partial differential equation,pde,solid mechanics,waves

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