Introduction to Ordinary Differential Equations with Mathematica
An Integrated Multimedia Approach
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Beschreibung
These materials, which have been developed and thoroughly class tested over a period of several years by the authors, are intended for use in courses in differential equations taught at the sophomore/junior level in American colleges and universities. Prerequisites for using these materials is the calculus of one variable, although calculus of several variables, and linear algrbra, are recommended. The text covers the standard topics in first and second order equations, power series solutions, first order systems, Laplace transforms, numerical methods and stability of non-linear systems. For historical completeness, the authors have also included the solution methods of Bernoulli, Clariaut, and Lagrange, if instructors wish to cover them. Liberal use is made of programs in Mathemtica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. The book has been designed so that it can be read with or without Mathematica and no pre-requisite knowledge of Mathematica is required to use the book, not to deal with the Mathematica programs contained in ODE.m, the special Mathematica software package residing on the CD-ROM accompanying the text. ODE.m enables students to solve differential equations, much as a calculator would. The CD-ROM, in addition to containing ODE.m, also contains the Mathematica solution of worked examples, the Mathematica solution of exercises, a protrait gallery of some 48 mathematicians who have contributed to the field of differential equations, a selction of various Mathematica noteboosk, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be made available online through the TELOS Web site (www.telospub.com) and the author's dedicated web site:
A multimedia textbook package for a course in ordinary differential equations taught in a conventional lecture class or in a laboratory- based course. The multimedia package consists of a printed textbook, a cross-platform CD-ROM, plus ancillary materials delivered online through the world Web web. The textbook includes hundreds of exercises and worked examples, historical footnotes, rich use of graphics to aid in visualization of solutions, and extensive use of Mathemtiaca for symbolic and numerical techniques. A 400-page solutions manual is available for sites that adopt this package.
Autor*in
Alfred Gray