Differential Equations with Mathematica (4th edition)

Differential Equations with Mathematica (4th edition)

By: Martha L. Abell (author), James P. Braselton (author)Paperback

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Description

Differential Equations with Mathematica, Fourth Edition is a supplementing reference which uses the fundamental concepts of the popular platform to solve (analytically, numerically, and/or graphically) differential equations of interest to students, instructors, and scientists. Mathematica's diversity makes it particularly well suited to performing calculations encountered when solving many ordinary and partial differential equations. In some cases, Mathematica's built-in functions can immediately solve a differential equation by providing an explicit, implicit, or numerical solution. In other cases, mathematica can be used to perform the calculations encountered when solving a differential equation. Because one goal of elementary differential equations courses is to introduce students to basic methods and algorithms so that they gain proficiency in them, nearly every topic covered this book introduces basic commands, also including typical examples of their application. A study of differential equations relies on concepts from calculus and linear algebra, so this text also includes discussions of relevant commands useful in those areas. In many cases, seeing a solution graphically is most meaningful, so the book relies heavily on Mathematica's outstanding graphics capabilities.

About Author

Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro where they have extensive experience in Mathematica-assisted instruction at both the undergraduate and graduate levels. In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica. Martha became Dean of the College of Science and Mathematics at Georgia Southern University in 2014. Martha L. Abell and James P. Braselton are graduates of the Georgia Institute of Technology and the Ohio State University, respectively, and teach at Georgia Southern University, Statesboro. Martha recently received Georgia Southern's award for 'excellence in research and/or creative scholarly activity.' Both authors have extensive experience with using Mathematica as well as Mathematica-assisted instruction at both the undergraduate and graduate levels. In addition, they have given numerous presentations on Mathematica, throughout the United States and abroad. Other books by the authors include Differential Equations with Mathematica, Second Edition and Statistics with Mathematica. Martha Abell became Dean of the College of Science and Mathematics at Georgia Southern University, Statesboro, Georgia, in 2014.

Contents

Preface 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 Systems of Ordinary Differential Equations Applications of Systems of Ordinary Differential Equations Laplace Transform Methods Eigenvalue Problems and Fourier Series Partial Differential Equations Appendix: Getting Started The Mathematica Menu Bibliography Index

Product Details

  • ISBN13: 9780128047767
  • Format: Paperback
  • Number Of Pages: 880
  • ID: 9780128047767
  • weight: 1310
  • ISBN10: 0128047763
  • edition: 4th edition

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