Basic Theory of Ordinary Differential Equations (Universitext) - Hardcover

Hsieh, Po-Fang; Sibuya, Yasutaka

 
9780387986999: Basic Theory of Ordinary Differential Equations (Universitext)
Hardcover
ISBN 10: 0387986995 ISBN 13: 9780387986999
Verlag: Springer, 1999

Inhaltsangabe

Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Críticas

"This book in pure mathematics will guide the reader on a newly marked path through classic and awesome terrain---first so well described by Coddington and Levinson---toward research in the important and useful areas of power series solutions and asymptotics. The path not taken would be marked by at least one explicit mention of a Poincaré map, a resonance in celestial mechanics, an average, a traveling wave, or a transversal intersection of separatrices."--MATHEMATICAL REVIEWS

Reseña del editor

Providing readers with the very basic knowledge necessary to begin research on differential equations with professional ability, the selection of topics here covers the methods and results that are applicable in a variety of different fields. The book is divided into four parts. The first covers fundamental existence, uniqueness, smoothness with respect to data, and nonuniqueness. The second part describes the basic results concerning linear differential equations, while the third deals with nonlinear equations. In the last part the authors write about the basic results concerning power series solutions. Each chapter begins with a brief discussion of its contents and history, and hints and comments for many problems are given throughout. With 114 illustrations and 206 exercises, the book is suitable for a one-year graduate course, as well as a reference book for research mathematicians.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
1999
Sprache
Englisch
ISBN 10 
0387986995
ISBN 13 
9780387986999
Einband
Tapa dura
Anzahl der Seiten
484
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
CMN Printpool Inh. Mathis Neumann
https://www.also.com/ec/cms5/en_6000/6000/index.jsp

Friedrich-Karl-Str. 9
Hamburg
Deutschland

Weitere beliebte Ausgaben desselben Titels

9781493999279: Basic Theory of Ordinary Differential Equations (Universitext)(Special Indian Edition/ Reprint Year- 2020) [Paperback] Po-Fang Hsieh and Yasutaka Sibuya

Vorgestellte Ausgabe

ISBN 10:  1493999273 ISBN 13:  9781493999279
Softcover