Introduction to Ordinary Differential Equations With Mathematica: An Integrated Multimedia Approach - Couverture souple

Gray, Alfred; Mezzino, Michael; Pinsky, Mark A.

Couverture souple

ISBN 10 : 1461274699 ISBN 13 : 9781461274698

Editeur : Springer-Verlag New York Inc., 2013

Synopsis

These materials - developed and thoroughly class tested over many years by the authors -are for use in courses at the sophomore/junior level. A prerequisite is the calculus of one variable, although calculus of several variables, and linear algebra 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. Liberal use is made of programs in Mathematica, both for symbolic computations and graphical displays. The programs are described in separate sections, as well as in the accompanying Mathematica notebooks. However, the book has been designed so that it can be read with or without Mathematica and no previous knowledge of Mathematica is required. The CD-ROM contains the Mathematica solution of worked examples, a selection of various Mathematica notebooks, Mathematica movies and sample labs for students. Mathematica programs and additional problem/example files will be available online through the TELOS Web site and the authors dedicated web site.

A propos du livre

À propos de la quatrième de couverture

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:

Détails de l'édition

• Éditeur: Springer-Verlag New York Inc.
• Date d'édition: 2013
• Langue: anglais
• ISBN 10: 1461274699
• ISBN 13: 9781461274698
• Reliure: Broché
• Nombre de pages: 890
• Coordonnées du fabricant: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Allemagne