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Ordinary differential equations and linear algebra : a systems approach / Todd Kapitula (Calvin College, Grand Rapids, Michigan)

By: Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Other titles in applied mathematics ; 145Publisher: Philadelphia : SIAM, Society for Industrial and Applied Mathematics, 2015Description: 1 Online-Ressource (XI, 300 Seiten) : IllustrationenISBN:
  • 9781611974096
Subject(s): Additional physical formats: 9781611974089 | Erscheint auch als: Ordinary differential equations and linear algebra. Druck-Ausgabe Philadelphia : siam, Society for Industrial and Applied Mathematics, 2015. xi, 300 pages | Erscheint auch als Druck-Ausgabe: Kapitula, Todd: Ordinary differential equations and linear algebra DDC classification:
  • 515/.352 23
  • 515.352
MSC: MSC: *34-01 | 34A05 | 34A30 | 15A06 | 34-04RVK: RVK: SK 520LOC classification:
  • QA372
DOI: DOI: 10.1137/1.9781611974096Online resources: Summary: Ordinary differential equations (ODEs) and linear algebra are foundational postcalculus mathematics courses in the sciences. The goal of this text is to help students master both subject areas in a one-semester course. Linear algebra is developed first, with an eye toward solving linear systems of ODEs. A computer algebra system is used for intermediate calculations (Gaussian elimination, complicated integrals, etc.); however, the text is not tailored toward a particular system. Ordinary Differential Equations and Linear Algebra: A Systems Approach systematically develops the linear algebra needed to solve systems of ODEs; includes over 15 distinct applications of the theory, many of which are not typically seen in a textbook at this level (e.g., lead poisoning, SIR models, digital filters); emphasizes mathematical modeling; and contains group projects at the end of each chapter that allow students to more fully explore the interaction between the modeling of a system, the solution of the model, and the resulting physical description.PPN: PPN: 848503716Package identifier: Produktsigel: ZDB-72-SIA
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