Beginning Partial Differential Equations
Solutions Manual 2nd Revised edition
By (author) Peter V. O'Neil
Beginning Partial Differential Equations by Peter V. O'Neil
Book DescriptionA rigorous, yet accessible, introduction to partial differential equations-updated in a valuable new edition 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. 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. The book concludes with a transition to more advanced topics, including the proof of an existence theorem for the Dirichlet problem and an introduction to distributions. Additional features of the Second Edition include solutions by both general eigenfunction expansions and numerical methods. Explicit solutions of Burger's equation, the telegraph equation (with an asymptotic analysis of the solution), and Poisson's equation are provided. A historical sketch of the field of PDEs and an extensive section with solutions to selected problems are also included. Beginning Partial Differential Equations, Second Edition is an excellent book for advanced undergraduate- and beginning graduate-level courses in mathematics, science, and engineering.
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Book DetailsISBN: 9780470133897
(230mm x 162mm x 13mm)
Publisher: John Wiley and Sons Ltd
Publish Date: 20-Mar-2008
Country of Publication: United States
Books By Author Peter V. O'Neil
Solutions Manual to Accompany Beginning Partial Differential Equations, Paperback (November 2014)
Solutions Manual to Accompany
Beginning Partial Differential Equations Set, Hardback (October 2014)
Featuring a challenging, yet accessible, introduction to partial differential equations, this set provides a solid introduction, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms.
Beginning Partial Differential Equations, Hardback (May 2014)» View all books by Peter V. O'Neil
Featuring a challenging, yet accessible, introduction to partial differential equations, Beginning Partial Differential Equations provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms.
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