This popular text presents some of the most important and widely used methods for solving PDEs. Along with a new chapter on complex variable methods, this edition includes new sections on Cauchy–Euler equations, Bessel functions, Legendre polynomials, spherical harmonics, applications of Fourier transformations, and general hyperbolic equations. It lists additional mathematical models based on PDEs and shows how the methods of separation of variables and eigenfunction expansion work for equations other than heat, wave, and Laplace. The author also added many new worked examples and exercises. Ancillary materials are available for qualifying instructors.
• Chapman Hall/CRC Mathematics Series
Differential Equations
Mechanical Engineering
Advanced Mathematics
Textbook
Undergraduate

Elastic plates form a class of very important mechanical structures that occur in a wide range of practical applications, from building to microchip production. In this monograph, the authors explore a number of important problems encountered in working with elastic plates. This is the first book to consider so many fundamental boundary value problems in conjunction with both variational and potential methods for finite and infinite domains. The authors write very explicitly, with full explanations, and conduct the discussion in Sobolev spaces to yield useful results for error analysis in numerical computations.
• Monographs and Surveys in Pure and Applied Math
Mathematics & Statistics for Engineers
Applied Mathematics
Mechanical Engineering
Reference
Professional

Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.
• Research Notes in Mathematics Series
Mathematics & Statistics for Engineers
Applied Mathematics
Differential Equations
Reference
Professional

The growing computational power currently available means that practitioners can find extremely accurate approximations to the solutions of more and more sophisticated mathematical models-providing they know the right analytical techniques. In relatively simple terms, this book describes a class of techniques that fulfill this need by leading to closed-form solutions for many boundary value problems that arise in science and engineering. It includes discussion of the Laplace equation, plane strain, and the bending of plates with transverse shear deformation and considers each with Dirichlet, Neumann, and Robin boundary conditions.
• Monographs and Surveys in Pure and Applied Math
Differential Equations
Applied Mathematics
Mathematics & Statistics for Engineers
Reference
Professional

• Research Notes in Mathematics Series
Differential Equations
Mathematics & Statistics for Engineers
Reference
Professional

• Research Notes in Mathematics Series
Applied Mathematics
Fluid Mechanics
Mathematics & Statistics for Engineers
Reference
Professional

• Research Notes in Mathematics Series
Applied Mathematics
Mathematics & Statistics for Engineers
Reference
Professional