An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization, Softcover reprint of the original 1st ed. 2016 PoliTO Springer Series
Auteur : Camporesi Roberto
This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana?s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.
Roberto Camporesi is currently Associate Professor of Mathematical Analysis at the Politecnico di Torino. He received his Ph.D. in Physics at the University of Maryland, College Park in 1991. He was a post-doctoral fellow at the University of Alberta, Edmonton, Canada. His research interests include geometry and harmonic analysis on Damek-Ricci spaces, harmonic analysis for homogeneous vector bundles (in particular, spinor fields) on symmetric spaces and representation theory of semisimple Lie groups.
Presents a new approach to linear ODEs
Accessible to anyone with a basic knowledge of calculus and linear algebra
Includes exercises to familiarize readers with the subject
Includes supplementary material: sn.pub/extras
Date de parution : 12-2016
Ouvrage de 120 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 52,74 €
Ajouter au panierDate de parution : 04-2018
Ouvrage de 120 p.
15.5x23.5 cm
Disponible chez l'éditeur (délai d'approvisionnement : 15 jours).
Prix indicatif 52,74 €
Ajouter au panier