Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica's outstanding graphics capabilities. Demonstrates how to take advantage of the advanced features of Mathematica 10Introduces the fundamental theory of ordinary and partial differential equations using Mathematica to solve typical problems of interest to students, instructors, scientists and practitioners from many fieldsShowcases practical applications and case studies drawn from biology, physics, and engineering INDICE: Preface Introduction to Differential Equations First-Order Ordinary Differential Equations Applications of First-Order Ordinary Differential Equations Higher-Order Differential Equations Applications of Higher-Order Differential Equations Systems of Ordinary Differential Equations Applications of Systems of Ordinary Differential Equations Laplace Transform Methods Eigenvalue Problems and Fourier Series Partial Differential Equations Appendix: Getting Started The Mathematica Menu Bibliography Index
- ISBN: 978-0-12-804776-7
- Editorial: Academic Press
- Encuadernacion: Rústica
- Páginas: 900
- Fecha Publicación: 08/09/2016
- Nº Volúmenes: 1
- Idioma: Inglés