Handbook of Linear Partial Differential Equations for Engineers and Scientists 1st Edition by Andrei D. Polyanin (PDF)

Description

Following in the footsteps of the authors’ bestselling Handbook of Integral Equations and Handbook of Exact Solutions for Ordinary Differential Equations, this handbook presents brief formulations and exact solutions for more than 2,200 equations and problems in science and engineering.Parabolic, hyperbolic, and elliptic equations with constant and variable coefficientsNew exact solutions to linear equations and boundary value problemsEquations and problems of general form that depend on arbitrary functionsFormulas for constructing solutions to nonhomogeneous boundary value problemsSecond- and higher-order equations and boundary value problemsAn introductory section outlines the basic definitions, equations, problems, and methods of mathematical physics. It also provides useful formulas for expressing solutions to boundary value problems of general form in terms of the Green’s function. Two supplements at the end of the book furnish more tools and information: Supplement A lists the properties of common special functions, including the gamma, Bessel, degenerate hypergeometric, and Mathieu functions, and Supplement B describes the methods of generalized and functional separation of variables for nonlinear partial differential equations.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐I bought this book as one of my prioritized and important references while a researcher in micro and nanotechnology with emphasis in heat and mass theory, acoustic and wave theory, electrostatics and electrodynamics theory. The book certainly has all the necessary solutions to prevailing researches in my fields and helped me better understand the intricacies related to my researches especially the behind the scene higher mathematical theories and applications. It also helped me to move into higher order of mathematical reasoning on the basis of given equations from multidimensional characterizations.The book is intensely a pure high order of mathematics and very extensive in both depth and breadth. Connecting these equations in a single to multiple theories altogether and into applications in the Computational Physics of Gas and Fluid Dynamics at micro and Nano meter level then writing your own thesis on per project basis can be overwhelming yet understandably accurate to the level where you want to be accurate!Although typical simulation programs in science and engineering uses at some point PDEs in their algorithms as one choice among many covariant applications (Finite Element Analysis, Finite Difference Modeling, Finite Volume Modeling, Boltzmann Modeling, BGK Collision Modeling, Lattice-Boltzmann Modeling), the Linear PDE Handbook is a must for anyone who will venture into advanced research field in science and engineering as one basis to take-off and get into the fast-tract theories and applications.

⭐The book “Linear PDE” is highly recommended for engineers who use analytical models. The book contains several explicit formula and solutions allowing to avoid cumbersome numerical calculations. This feature is particularly important for solution of inverse problems, adjustment of the model to the data, for optimization, where solution of forward problem is used in algorithms for numerous times.Sincerely,Prof. Pavel Bedrikovetsky

⭐The book covers PDE from heat and mass transfer problems. It is very useful for scientists working in whatever engineering area. I was unable to find any similar handbook that covers such a wide range of analytical solutions.Sincerely,Dr Carageorgos

Keywords

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Handbook of Linear Partial Differential Equations for Engineers and Scientists 1st Edition 2001 PDF Free Download
Download Handbook of Linear Partial Differential Equations for Engineers and Scientists 1st Edition PDF
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