| Item type | Current location | Collection | Call number | Copy number | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| E-Books | Biblioteca da FCTUNL Online | Não Ficção | QA371.SPR FCT 82844 (Browse shelf) | 1 | Available |
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| QA371.SPR FCT 82472 Viability theory | QA371.SPR FCT 82527 Microstructured materials | QA371.SPR FCT 82840 Theory of third-order differential equations | QA371.SPR FCT 82844 A first course in ordinary differential equations | QA371.SPR FCT 82846 Sequence spaces and measures of noncompactness with applications to differential and integral equations | QA371.SPR FCT 82847 Periodic solutions of first-order functional differential equations in population dynamics | QA371.SPR FCT 82963 Ordinary differential equations and dynamical systems |
Colocação: Online
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 graduate students. 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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