Tuesday, 17 July 2018

BEGINNING PARTIAL DIFFERENTIAL EQUATIONS 3RD EDITION BY PETER V.O'NEIL

Beginning Partial Differential Equations, Second Edition provides a comprehensive introduction to partial differential equations (PDEs) with a special focus on the significance of characteristics, solutions by Fourier series, integrals and transforms, properties and physical interpretations of solutions, and a transition to the modern function space approach to PDEs. 

PAGE:-453
With its breadth of coverage, this new edition continues to present a broad introduction to the field, while also addressing more specialized topics and applications. Maintaining the hallmarks of the previous edition, the book begins with first order linear and quasi-linear PDEs and the role of characteristics in the existence and uniqueness of solutions. Canonical forms are discussed for the linear second-order equation, along with the Cauchy problem, existence and uniqueness of solutions, and characteristics as carriers of discontinuities in solutions. Fourier series, integrals, and transforms are followed by their rigorous application to wave and diffusion equations as well as to Dirichlet and Neumann problems. In addition, solutions are viewed through physical interpretations of PDEs. 

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