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Pure and Applied Mathematics: A Wiley-Interscience Series of #90: Beginning Partial Differential Equations

Pure and Applied Mathematics: A Wiley-Interscience Series of #90: Beginning Partial Differential Equations Cover

 

Synopses & Reviews

Publisher Comments:

A 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'sequation 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 math-ematics, science, and engineering.

Synopsis:

This set contains the text Beginning Partial Differential Equations, 2nd Edition 9780470133903 and Beginning Partial Differential Equations, 2nd Edition, Solutions Manual 9780470133897.

Product Details

ISBN:
9780470345269
Publisher:
Wiley-Interscience
Subject:
Differential Equations - Partial Differential Equations
Author:
O'Neil, Peter V.
Subject:
Differential Equations
Subject:
General-General
Copyright:
Edition Description:
2nd Edition Set
Series:
Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
Series Volume:
90
Publication Date:
April 2008
Binding:
HARDCOVER
Grade Level:
Professional and scholarly
Language:
English
Pages:
676
Dimensions:
9.50x6.40x1.70 in. 2.55 lbs.

Related Subjects


Reference » Science Reference » Technology
Science and Mathematics » Mathematics » Differential Equations

Pure and Applied Mathematics: A Wiley-Interscience Series of #90: Beginning Partial Differential Equations
0 stars - 0 reviews
$ In Stock
Product details 676 pages John Wiley & Sons - English 9780470345269 Reviews:
"Synopsis" by , This set contains the text Beginning Partial Differential Equations, 2nd Edition 9780470133903 and Beginning Partial Differential Equations, 2nd Edition, Solutions Manual 9780470133897.
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