A First Course in Ordinary Differential Equations (PDF)
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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.
MASOUD SARAVI is Professor of Mathematics at the Islamic Azad University (IAU), Nour Branch, Iran. His research interests include the numerical solution of ODEs, partial differential equations (PDEs) and integral equations, as well as differential algebraic equations (DAE) and spectral methods. In addition to publishing several papers with German colleagues, Dr. Saravi has published more than 15 successful titles on mathematics. The immense popularity of his books is deemed as a reflection of more than 20 years of educational experience, and a result of his accessible style of writing, as well as a broad coverage of well laid-out and easy-to-follow subjects. He is currently a board member at the IAU and is working together with the Numerical Analysis Group and the
- Autoren: Martin Hermann , Masoud Saravi
- 2014, 2014, 288 Seiten, Englisch
- Verlag: Springer-Verlag GmbH
- ISBN-10: 8132218353
- ISBN-13: 9788132218357
- Erscheinungsdatum: 22.04.2014
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- Dateiformat: PDF
- Grösse: 3.10 MB
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