Partial Differential Equations: Analytical and Numerical Methods - Couverture rigide

Gockenbach, Mark S

 
9780898715187: Partial Differential Equations: Analytical and Numerical Methods
Couverture rigide
ISBN 10 : 0898715180 ISBN 13 : 9780898715187
Editeur : Soc for Industrial & Applied Math, 2002

Synopsis

This introductory text on partial differential equations is the first to integrate modern and classical techniques for solving PDEs at a level suitable for undergraduates. The author successfully complements the classical topic of Fourier series with modern finite element methods. The result is an up-to-date, powerful, and flexible approach to solving PDEs, which both faculty and students will find refreshing, challenging, and rewarding. Linear algebra is a key component of the text, providing a framework both for computing solutions and for understanding the theoretical basis of the methods. Although techniques are emphasized over theory, the methods are presented in a mathematically sound fashion to develop a strong foundation for further study. Numerous exercises and examples involve meaningful experiments with realistic physical parameters, allowing students to use physical intuition to understand the qualitative features of the solutions.

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

Présentation de l'éditeur

This introductory text on partial differential equations is the first to integrate modern and classical techniques for solving PDEs at a level suitable for undergraduates. The author successfully complements the classical topic of Fourier series with modern finite element methods. The result is an up-to-date, powerful, and flexible approach to solving PDEs, which both faculty and students will find refreshing, challenging, and rewarding. Linear algebra is a key component of the text, providing a framework both for computing solutions and for understanding the theoretical basis of the methods. Although techniques are emphasized over theory, the methods are presented in a mathematically sound fashion to develop a strong foundation for further study. Numerous exercises and examples involve meaningful experiments with realistic physical parameters, allowing students to use physical intuition to understand the qualitative features of the solutions.

Revue de presse

'I love this book and look forward to using it as a text in the future. ... It's the first truly modern approach that I've seen in a PDE text.' Maeve L. McCarthy, MAA Online Book Review

'The introduction of FEM to an undergraduate PDE text is wonderful. It's the first truly modern approach that I've seen in a PDE text.' Maeve L. McCarthy, MAA Online Book Review

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

Éditeur
Soc for Industrial & Applied Math
Date d'édition
2002
Langue
anglais
ISBN 10 
0898715180
ISBN 13 
9780898715187
Reliure
Relié
Nombre de pages
614
Coordonnées du fabricant
non disponible
Personne responsable
non disponible