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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization (PoliTO Springer Series) - Tapa dura
Sinopsis
<P>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.</P>
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Críticas
“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)
Reseña del editor
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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- EditorialSpringer
- Año de publicación2016
- ISBN 10 3319496662
- ISBN 13 9783319496665
- EncuadernaciónTapa dura
- IdiomaInglés
- Número de páginas130
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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 Dez 2016, 2016
ISBN 10: 3319496662
ISBN 13: 9783319496665
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Buch. Condición: 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. Nº de ref. del artículo: 9783319496665
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Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
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An Introduction to Linear Ordinary Differential Equations Using the Impulsive Response Method and Factorization
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Springer, Berlin, Springer International Publishing, Springer, 2016
ISBN 10: 3319496662
ISBN 13: 9783319496665
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Buch. Condición: 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. Nº de ref. del artículo: 9783319496665
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