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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series) - Softcover
Synopsis
This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana’s result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients.
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About the Author
Roberto Camporesi is currently Associate Professor of Mathematical Analysis at the Politecnico di Torino. He received his Ph.D. in Physics at the University of Maryland, College Park in 1991. He was a post-doctoral fellow at the University of Alberta, Edmonton, Canada. His research interests include geometry and harmonic analysis on Damek-Ricci spaces, harmonic analysis for homogeneous vector bundles (in particular, spinor fields) on symmetric spaces and representation theory of semisimple Lie groups.
Review
“In this monograph the author presents the impulse response method for solving linear ordinary differential equations ... . The book is well organized and well written. I recommend it to anyone interested in differential equations, not only the teachers and students in a first course on this subject.” (Anton Zettl, Mathematical Reviews, August, 2017)
"About this title" may belong to another edition of this title.
- PublisherSpringer
- Publication date2018
- ISBN 10 3319842102
- ISBN 13 9783319842103
- BindingPaperback
- LanguageEnglish
- Number of pages127
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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series)
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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
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Berlin Springer International Publishing Springer Apr 2018, 2018
ISBN 10: 3319842102
ISBN 13: 9783319842103
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana's result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients. 120 pp. Englisch. Seller Inventory # 9783319842103
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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
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ISBN 10: 3319842102
ISBN 13: 9783319842103
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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - This book presents a method for solving linear ordinary differential equations based on the factorization of the differential operator. The approach for the case of constant coefficients is elementary, and only requires a basic knowledge of calculus and linear algebra. In particular, the book avoids the use of distribution theory, as well as the other more advanced approaches: Laplace transform, linear systems, the general theory of linear equations with variable coefficients and variation of parameters. The case of variable coefficients is addressed using Mammana's result for the factorization of a real linear ordinary differential operator into a product of first-order (complex) factors, as well as a recent generalization of this result to the case of complex-valued coefficients. Seller Inventory # 9783319842103
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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
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ISBN 13: 9783319842103
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Presents a new approach to linear ODEsAccessible to anyone with a basic knowledge of calculus and linear algebraIncludes exercises to familiarize readers with the subjectRoberto Camporesi is currently Associate Professor of Ma. Seller Inventory # 458624534
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