Differential Equations: An Introduction to Basic Concepts, Results and Applications - Couverture rigide

Vrabie, Ioan I

 
9789814335621: Differential Equations: An Introduction to Basic Concepts, Results and Applications
Couverture rigide
ISBN 10 : 9814335622 ISBN 13 : 9789814335621
Editeur : World Scientific Publishing Co Pte Ltd, 2011

Synopsis

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems. In this new edition we have corrected several small errors and added the following new topics: Volterra Integral Equations and Elements of Calculus of Variations. Some problems and exercises, referring to these two new topics are also included. The bibliography has been updated and expanded.

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

Présentation de l'éditeur

This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it contains simple introductions to some topics which are not usually included in classical textbooks: the exponential formula, conservation laws, generalized solutions, Caratheodory solutions, differential inclusions, variational inequalities, viability, invariance, gradient systems. In this new edition we have corrected several small errors and added the following new topics: Volterra Integral Equations and Elements of Calculus of Variations. Some problems and exercises, referring to these two new topics are also included. The bibliography has been updated and expanded.

Revue de presse

"This text would be suitable for courses at the beginning graduate level." -- MAA Reviews

It is one of the basic books in the field of differential equations, which certainly, will be used by students and specialists in this field. The book is an excellent compound of abstract results and concrete examples, which should prove to be a very popular textbook. --Zentralblatt MATH

Reviews of the First Edition:

"... a useful resource with material for students, since it contains several topics typically not found in introductory textbooks." -- Choice

A nice contribution to existing literature on differential equations. --Zentralblatt MATH

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

Éditeur
World Scientific Publishing Co Pte Ltd
Date d'édition
2011
Langue
anglais
ISBN 10 
9814335622
ISBN 13 
9789814335621
Reliure
Relié
Numéro d'édition
2
Nombre de pages
482
Coordonnées du fabricant
non disponible
Personne responsable
gpsr@libri.de
gpsr@libri.de

Friedensallee 273
Hamburg
22763
Allemagne

Autres éditions populaires du même titre

9789812388384: Differential Equations: An Introduction to Basic Concepts, Results and Applications

Edition présentée

ISBN 10 :  9812388389 ISBN 13 :  9789812388384
Editeur : World Scientific Publishing Co P..., 2004
Couverture rigide