Articles liés à Basic Partial Differential Equations

Basic Partial Differential Equations - Couverture souple

 
9781468414363: Basic Partial Differential Equations

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Synopsis

Quantities which depend on space and/or time variables are often governed by differential equations which are based on underlying physical principles. Partial differential equations (PDEs) not only accurately express these principles, but also help to predict the behavior of a system from an initial state of the system and from given external influences. Thus, it is hard to overestimate the relevance of PDEs in all forms of science and engineering, or any endeavor which involves reasonably smooth, predictable changes of measurable quantities. Having taught from the material in this book for ten years with much feedback from students, we have found that the book serves as a very readable introduction to the subject for undergraduates with a year and a half of calculus, but not necessarily any more. In particular, one need not have had a linear algebra course or even a course in ordinary differential equations to understand the material. As the title suggests, we have concentrated only on what we feel are the absolutely essential aspects of the subject, and there are some crucial topics such as systems of PDEs which we only touch on. Yet the book certainly contains more material than can be covered in a single semester, even with an exceptional class. Given the broad relevance of the subject, we suspect that a demand for a second semester surely exists, but has been largely unmet, partly due to the lack of books which take the time and space to be readable by sophomores.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

Topics not usually found in books at this level include but examined in this text:

  • the application of linear and nonlinear first-order PDEs to the evolution of population densities and to traffic shocks
  • convergence of numerical solutions of PDEs and implementation on a computer
  • convergence of Laplace series on spheres
  • quantum mechanics of the hydrogen atom
  • solving PDEs on manifolds

    The text requires some knowledge of calculus but none on differential equations or linear algebra.
  • Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

    • ÉditeurSpringer-Verlag New York Inc.
    • Date d'édition2013
    • ISBN 10 1468414364
    • ISBN 13 9781468414363
    • ReliureBroché
    • Langueanglais
    • Nombre de pages768

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