Partial Differential Equations: Methods, Applications And Theories - Couverture souple

Hattori, Harumi

 
9789814407564: Partial Differential Equations: Methods, Applications And Theories
Couverture souple
ISBN 10 : 9814407569 ISBN 13 : 9789814407564
Editeur : Wspc, 2013

Synopsis

This volume is an introductory level textbook for partial differential equations (Pde's) and suitable for a one-semester undergraduate level or two-semester graduate level course in Pde's or applied mathematics. Chapters One to Five are organized according to the equations and the basic Pde's are introduced in an easy to understand manner. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. The equations in higher dimensions are also discussed in detail.This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of Pde's.

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

Présentation de l'éditeur

This volume is an introductory level textbook for partial differential equations (Pde's) and suitable for a one-semester undergraduate level or two-semester graduate level course in Pde's or applied mathematics. Chapters One to Five are organized according to the equations and the basic Pde's are introduced in an easy to understand manner. They include the first-order equations and the three fundamental second-order equations, i.e. the heat, wave and Laplace equations. Through these equations we learn the types of problems, how we pose the problems, and the methods of solutions such as the separation of variables and the method of characteristics. The modeling aspects are explained as well. The methods introduced in earlier chapters are developed further in Chapters Six to Twelve. They include the Fourier series, the Fourier and the Laplace transforms, and the Green's functions. The equations in higher dimensions are also discussed in detail.This volume is application-oriented and rich in examples. Going through these examples, the reader is able to easily grasp the basics of Pde's.

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

Éditeur
Wspc
Date d'édition
2013
Langue
anglais
ISBN 10 
9814407569
ISBN 13 
9789814407564
Reliure
Broché
Nombre de pages
392
Coordonnées du fabricant
non disponible
Personne responsable
non disponible

Autres éditions populaires du même titre

9789382993797: Partial Differential Equations: Methods Applications And Theories

Edition présentée

ISBN 10 :  9382993797 ISBN 13 :  9789382993797
Couverture souple