Differential and Integral Equations

Peter J. Collins

392 pages, parution le 15/08/2006

Ajouter à une liste

Indisponible

Résumé

Differential and integral equations involve important mathematical techniques, and as such will be encountered by mathematicians, and physical and social scientists, in their undergraduate courses. This text provides a clear, comprehensive guide to first- and second-order ordinary and partial differential equations, whilst introducing important and useful basic material on integral equations. Readers will encounter detailed discussion of the wave, heat and Laplace equations, of Green's functions and their application to the Sturm-Liouville equation, and how to use series solutions, transform methods and phase-plane analysis. The calculus of variations will take them further into the world of applied analysis.

Providing a wealth of techniques, but yet satisfying the needs of the pure mathematician, and with numerous carefully worked examples and exercises, the text is ideal for any undergraduate with basic calculus to gain a thorough grounding in 'analysis for applications'.

Readership: Undergraduates in mathematics and physical sciences with basic calculus seeking a thorough grounding in Differential and Integral Equations.

L'auteur - Peter J. Collins

Peter Collins, architecte et historien de l'architecture canadien (1920-1981). Il est considéré comme l'une des figures majeures de l'enseignement de l'architecture qui a renouvelé l'approche historique du modernisme. Né en Angleterre, après avoir travaillé en France, en Suisse et au Proche-Orient, il poursuit ses travaux et publications au sein de l'Université McGill à Montréal. Déjà paru en français : Splendeur du béton.

Autres livres de Peter J. Collins

Juger l'architecture

L'architecture moderne, principes et mutations

Découvrir tous les livres de Peter J. Collins

Sommaire

Integral equations and Picard's method
Existence and uniqueness
The homogeneous linear equation and Wronskians
The non-homogeneous linear equation: Variations of parameters and Green's functions
First-order partial differential equations
Second-order partial differential equations
The diffusion and wave equations and the equation of Laplace
The Fredholm alternative
Hilbert-Schmidt theory
Iterative methods and Neumann series
The calculus of variations
The Sturm-Liouville equation
Series solutions
Transform methods
Phase-plane analysis
Appendix: The solution of some elementary ordinary differential equations

Voir tout

Replier

Caractéristiques techniques

	PAPIER
Éditeur(s)	Oxford University Press
Auteur(s)	Peter J. Collins
Parution	15/08/2006
Nb. de pages	392
Format	19 x 24,5
Couverture	Broché
Poids	750g
Intérieur	Noir et Blanc
EAN13	9780199297894
ISBN13	978-0-19-929789-4