期刊全称 | A First Course in Ordinary Differential Equations | 期刊简称 | Analytical and Numer | 影响因子2023 | Martin Hermann,Masoud Saravi | 视频video | | 发行地址 | Presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations.Provides a variety of problems to help students test and deepen their knowledge.A valu | 图书封面 |  | 影响因子 | .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 e | Pindex | Textbook 2014 |
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