Differential Equations: An Introduction to Basic Concepts, Results and Applications (Hardback)

Ioan I. Vrabie

Edité par World Scientific Publishing Co Pte Ltd, 2011
ISBN 10: 9814335622 / ISBN 13: 9789814335621
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Language: English . Brand New Book. 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. N° de réf. du libraire

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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.

Review: "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:

"Vrabie has produced a book that will be a useful resource with material for students, since it contains several topics typically not found in introductory textbooks ... A wide array of applications is discussed. Coupled with the fundamental novelty in the selection of topics, this warrants an endorsement for this book. -- Choice

"This book is a nice contribution to existing literature on differential equations and can be warmly recommended as additional reading for students in mathematics, physics and engineering who need solid theoretical background in differential equations." -- Zentralblatt MATH

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

Détails bibliographiques

Titre : Differential Equations: An Introduction to ...
Éditeur : World Scientific Publishing Co Pte Ltd
Date d'édition : 2011
Reliure : Hardback
Etat du livre : New
Edition : 2nd Revised edition.

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Ioan I. Vrabie
Edité par World Scientific Publishing Co Pte Ltd (2011)
ISBN 10 : 9814335622 ISBN 13 : 9789814335621
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Description du livre World Scientific Publishing Co Pte Ltd, 2011. HRD. État : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du libraire CA-9789814335621

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Description du livre 2011. HRD. État : New. New Book.Shipped from US within 10 to 14 business days. Established seller since 2000. N° de réf. du libraire IB-9789814335621

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Description du livre World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. État : New. Second Edition. Language: English . Brand New Book. 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. N° de réf. du libraire AAC9789814335621

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Ioan I. Vrabie
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Description du livre World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. État : New. 2nd Revised edition. Language: English . Brand New Book. 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. N° de réf. du libraire AAC9789814335621

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Description du livre World Scientific Publishing Co Pte Ltd. Hardback. État : new. BRAND NEW, Differential Equations: An Introduction to Basic Concepts, Results and Applications, Ioan I. Vrabie, 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. N° de réf. du libraire B9789814335621

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Description du livre Hardcover. État : New. 2nd. Hardcover. 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 equation.Shipping may be from multiple locations in the US or from the UK, depending on stock availability. 460 pages. 0.807. N° de réf. du libraire 9789814335621

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Description du livre Hardcover. État : New. 2nd. Hardcover. 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 differen.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 460 pages. 0.807. N° de réf. du libraire 9789814335621

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Description du livre World Scientific Publishing Co Pte Ltd, Singapore, 2011. Hardback. État : New. 2nd Revised edition. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. Brand New Book. 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. N° de réf. du libraire LIE9789814335621

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