Introduction to Ordinary Differential Equations with Mathematica: An Integrated Multimedia Approach,Used

Introduction to Ordinary Differential Equations with Mathematica: An Integrated Multimedia Approach,Used

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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 nonlinear 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 prerequisite 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 CDROM accompanying the text. ODE.m enables students to solve differential equations, much as a calculator would. The CDROM, 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:

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Frequently Asked Questions

  • Q: What topics are covered in the book 'Introduction to Ordinary Differential Equations with Mathematica'? A: The book covers standard topics in first and second order differential equations, power series solutions, first order systems, Laplace transforms, numerical methods, and stability of non-linear systems.
  • Q: What prerequisites are recommended for using this textbook? A: A calculus of one variable is required, while knowledge of calculus of several variables and linear algebra is recommended.
  • Q: Is prior knowledge of Mathematica necessary to use this book? A: No, the book is designed to be used with or without Mathematica, and no prior knowledge of Mathematica is required.
  • Q: What additional resources are included with the textbook? A: The textbook includes a CD-ROM containing ODE.m software, Mathematica solutions to worked examples, exercises, and a gallery of mathematicians.
  • Q: How does ODE.m assist students in learning differential equations? A: ODE.m enables students to solve differential equations similarly to how a calculator would, making it easier to understand and visualize the concepts.
  • Q: What is the page count of the book? A: The book contains 890 pages.
  • Q: What is the binding type of this textbook? A: The textbook is available in paperback binding.
  • Q: Who is the author of 'Introduction to Ordinary Differential Equations with Mathematica'? A: The book is authored by Alfred Gray.
  • Q: When was this textbook published? A: The textbook was published on June 20, 1997.
  • Q: Are there any online resources available for this textbook? A: Yes, additional Mathematica programs and problem/example files will be made available online through the TELOS website and the author's dedicated website.