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Solving Ordinary and Partial Boundary Value Problems in Science and Engineering - Couverture rigide

Rektorys, Karel

 
9780849325526: Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

Synopsis

This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.
Discussions include:

  • ordinary differential equations
  • classical theory of partial differential equations
  • Laplace and Poisson equations
  • heat equation
  • variational methods of solution of corresponding boundary value problems
  • methods of solution for evolution partial differential equations
    The author presents special remarks for the mathematical reader, demonstrating the possibility of generalizations of obtained results and showing connections between them. For the non-mathematician, the author provides profound functional-analytical results without proofs and refers the reader to the literature when necessary.
    Solving Ordinary and Partial Boundary Value Problems in Science and Engineering contains essential functional analytical concepts, explaining its subject without excessive abstraction.
  • Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

    À propos de l'auteur

    Karel Rektorys

    À propos de la quatrième de couverture

    This book provides an elementary, accessible introduction to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and efficient methods of constructing solutions or satisfactory approximations. The author motivates the mathematical theory by introducing useful technical or physical examples and presents special remarks for mathematical readers that demonstrate the possibility of generalizing the results obtained. For non-mathematicians, the author provides functional-analytical results without proofs and refers readers to the literature for further details. Numerous exercises complement each chapter.

    Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.