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A First Course in Ordinary Differential Equations

53,49 €*

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Produktnummer: 18a4799c1aff3c403f93544b754b7ec6ff
Autor: Hermann, Martin Saravi, Masoud
Themengebiete: Differential Equations Numerical Differential Equations Ordinary Differential Equations Runge-Kutta Methods Shooting Methods
Veröffentlichungsdatum: 02.05.2014
EAN: 9788132218340
Sprache: Englisch
Seitenzahl: 288
Produktart: Gebunden
Verlag: Springer India
Untertitel: Analytical and Numerical Methods
Produktinformationen "A First Course in Ordinary Differential Equations"
This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduatestudents. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German–Iranian research project on mathematical methods for ODEs, which was started in early 2012.
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