Synopsis
This book is developed primarily from the author's 20 years of teaching the course at his own university. It addresses both theory and applications, interweaving application with theory throughout the text. The author 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 revised edition includes considerable new material; the impressive array of exercises has been more than doubled in size and enhanced in scope.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Carmen Chicone is an emeritus professor of mathematics at the University of Missouri. He has authored two books, coauthored a third, and published over 100 research articles. His recent research interests are in the qualitative theory of ordinary and partial differential equations, applications of differential equations to mathematical models in science and engineering, and the development of numerical methods to obtain viable predictions from physically realistic model problems.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Ordinary Differential Equations with Applications (Texts in Applied Mathematics, 34)
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Springer, 2024
ISBN 10 : 3031516516
ISBN 13 : 9783031516511
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Ordinary Differential Equations With Applications
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Springer, 2024
ISBN 10 : 3031516516
ISBN 13 : 9783031516511
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Ordinary Differential Equations with Applications (Texts in Applied Mathematics, 34)
Edité par
Springer, 2024
ISBN 10 : 3031516516
ISBN 13 : 9783031516511
Ancien ou d'occasion
Couverture rigide
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hardcover. Etat : Good. Third Edition 2024. Ships in a BOX from Central Missouri! May not include working access code. Will not include dust jacket. Has used sticker(s) and some writing or highlighting. UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). N° de réf. du vendeur 011694743U
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Ordinary Differential Equations with Applications (Texts in Applied Mathematics, 34)
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hardcover. Etat : New. Third Edition 2024. Ships in a BOX from Central Missouri! UPS shipping for most packages, (Priority Mail for AK/HI/APO/PO Boxes). N° de réf. du vendeur 011694743N
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Ordinary Differential Equations With Applications
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Ordinary Differential Equations With Applications
Edité par
Springer, 2024
ISBN 10 : 3031516516
ISBN 13 : 9783031516511
Ancien ou d'occasion
Couverture rigide
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
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Ordinary Differential Equations with Applications (Hardcover)
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ISBN 10 : 3031516516
ISBN 13 : 9783031516511
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Hardcover. Etat : new. Hardcover. This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincare-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the GrobmanHartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunovs center theorem. New sections present discussions of global bifurcation, the CrandallRabinowitz theorem, and Alekseevs formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises. 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 Core theory includes local existence and uniqueness, the phase plane, Poincare-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the GrobmanHartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. N° de réf. du vendeur 9783031516511
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Ordinary Differential Equations with Applications
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Springer International Publishing Mai 2024, 2024
ISBN 10 : 3031516516
ISBN 13 : 9783031516511
Neuf
Buch
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Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book, developed during 20 years of the author teaching differential equations courses at his home university, is designed to serve as a text for a graduate level course focused on the central theory of the subject with attention paid to applications and connections to other advanced topics in mathematics. Core theory includes local existence and uniqueness, the phase plane, Poincaré-Bendixson theory, Lyapunov and linearized stability, linear systems, Floquet theory, the Grobman-Hartman theorem, persistence of rest points and periodic orbits, the stable and center manifold theorems, and bifurcation theory. This edition includes expanded treatment of deterministic chaos, perturbation theory for periodic solutions, boundary value problems, optimization, and a wide range of their applications. In addition, it contains a formulation and new proof of a theorem on instability of rest points in the presence of an eigenvalue with positive real part, and new proofs of differential inequalities and Lyapunov's center theorem. New sections present discussions of global bifurcation, the Crandall-Rabinowitz theorem, and Alekseev's formula. Of particular note is a new chapter on basic control theory, a discussion of optimal control, and a proof of a useful special case of the maximum principle. A key feature of earlier editions, a wide selection of original exercises, is respected in this edition with the inclusion of a wealth of new exercises.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 752 pp. Englisch. N° de réf. du vendeur 9783031516511
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Ordinary Differential Equations With Applications
Edité par
Springer, 2024
ISBN 10 : 3031516516
ISBN 13 : 9783031516511
Ancien ou d'occasion
Couverture rigide
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Ordinary Differential Equations With Applications
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