Title
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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- Q: What is the page count of this book? A: The book has eight hundred ninety pages. It provides extensive coverage of ordinary differential equations and related topics.
- Q: What is the binding type of this book? A: The book is paperback bound. This makes it portable and easier to handle for students.
- Q: What are the dimensions of the book? A: The book measures seven point five two inches in length, one point seven five inches in width, and nine point seven six inches in height. These dimensions make it a standard size for textbooks.
- Q: What prerequisites are needed for this book? A: The book requires knowledge of single-variable calculus. Familiarity with calculus of several variables and linear algebra is recommended for optimal comprehension.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners. It is designed for students at the sophomore and junior levels in college.
- Q: Can I use this book without Mathematica? A: Yes, you can read this book without any prior knowledge of Mathematica. The content is accessible and self-contained.
- Q: How do I care for this book? A: To keep this book in good condition, store it in a dry place and avoid exposing it to direct sunlight. Handle it gently to maintain the binding.
- Q: Is this book safe for all audiences? A: Yes, this book is appropriate for college students. It contains educational material on differential equations without adult themes.
- Q: How should I store this book? A: Store this book upright on a shelf, ensuring it is not overloaded with other books. This prevents warping and damage to the spine.
- Q: What if the book arrives damaged? A: If the book arrives damaged, you should contact the seller for a return or replacement. Ensure you keep all packaging materials for the return process.
- Q: What type of mathematical topics does this book cover? A: The book covers topics such as first and second order equations, power series solutions, and Laplace transforms among others. It's comprehensive for differential equations.
- Q: Are there any additional resources provided with the book? A: Yes, the book includes a CD-ROM with Mathematica programs and examples. It also provides access to online resources and notebooks.
- Q: Is this book ideal for self-study? A: Yes, this book is excellent for self-study. It includes worked examples and exercises suitable for independent learning.
- Q: What makes this book multimedia? A: The book incorporates multimedia elements through Mathematica programs and graphical displays, enhancing the learning experience.
- Q: Does this book include historical methods? A: Yes, the book includes historical solution methods from mathematicians like Bernoulli and Lagrange. This adds depth to the learning.