Ordinary differential equations with applications
This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications...
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| Glavni autor: | |
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| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
New York, NY :
Springer New York
2008.
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| Izdanje: | 1 éd. |
| Serija: | Texts in Applied Mathematics
34 |
| Teme: | |
| Online pristup: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Bilješka: |
L'impression du document génère XV,563 p. Description d'après consultation du 15 juillet 2024 Titre provenant de la page de titre du document numérisé Numérisation de l'édition de New York : Springer, cop. 1999 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Ordinary differential equations with applications, With 68 illustrations, Carmen Chicone, 1999, New York, Springer-Verlag, 1 vol. (XV-561 p.), Texts in applied mathematics, 0-387-98535-2 |
| Sažetak: | This book developed over 20 years of the author teaching the course at his own university. It serves as a text for a graduate level course in the theory of ordinary differential equations, written from a dynamical systems point of view. It contains both theory and applications, with the applications interwoven with the theory throughout the text. The author also links ordinary differential equations with advanced mathematical topics such as differential geometry, Lie group theory, analysis in infinite-dimensional spaces and even abstract algebra. The second edition incorporates corrections and improvements of the original text. New material includes a proof of the Grobman-Hartman theorem for flows based on the Lie derivative, more extensive treatment of the Euler-Lagrange equation and its applications, a proof of Noether's theorem on the existence of first integrals in the presence of symmetries and a new section on dynamic bifurcation with a proof of Pontryagin's formula. The impressive array of existing exercises has been more than doubled in size and further enhanced in scope, providing mathematics, physical science and engineering graduate students with a thorough introduction to the theory and application of ordinary differential equations. Reviews of the first edition: ``As an applied mathematics text on linear and nonlinear equations, the book by Chicone is written with stimulating enthusiasm. It will certainly appeal to many students and researchers.'' -- F. Verhulst, SIAM Review ``The author writes lucidly and in an engaging conversational style. His book is wide-ranging in its subject matter, thorough in its presentation, and written at a generally high level of generality, detail, and rigor.'' -- D. S. Shafer, Mathematical Reviews |
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| Opis djela: | L'impression du document génère XV,563 p. Description d'après consultation du 15 juillet 2024 Titre provenant de la page de titre du document numérisé Numérisation de l'édition de New York : Springer, cop. 1999 Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Format: | Nécessite un lecteur de fichier PDF |
| ISBN: | 9780387226231 0387226230 |
| ISSN: | 2196-9949 |