Differential equations with Mathematica

書誌事項

Differential equations with Mathematica

Martha L. Abell, James P. Braselton

Academic Press, c1997

2nd ed

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注記

Bibliography: p. 797-799

Includes index

内容説明・目次

内容説明

NON-TECHNICAL DESCRIPTION Mathematica is an extremely powerful computer algebra system (with both symbolic and numerical capabilities), a graphing tool for any mathematical function in two or three dimensions, a self-contained programming language, and also a typesetting program. Using both symbolic and numerical capabilities, Mathematica is a two or three-dimensional graphing tool for any mathematical function, a self-contained programming language, and also a typesetting program. Intended for Mathematica beginners, this book/CD-ROM package contains built-in commands that can be used to solve problems directly and can also be used to visualise solutions. This Second Edition of the groundbreaking Differential Equations with Mathematica integrates new applications from a variety of fields, especially biology, physics, and engineering. The new handbook is also completely compatible with Mathematica version 3.0 and is a perfect introduction for Mathematica beginners. The book/CD-ROM package contains built-in commands that lets the user solve problems directly using graphical solutions. Features: * Focuses on the most often used features of Mathematica for the beginning Mathematica user * CD-ROM contains all Mathematica inputs from the text * New applications from a variety of fields, including engineering, biology, and physics * All applications were completed using version 3.0 of Mathematica

目次

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. Ordinary Differential Equations with Nonconstant Coefficients. Laplace Transform Methods. Systems of Ordinary Differential Equations. Applications of Systems of Ordinary Differential Equations. Eigenvalue Problems and Fourier Series. Partial Differential Equations.

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