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Advanced Engineering Mathematics with Mathematica® and MATLAB® Volume 1
ISBN-10: 0201598817
ISBN-13: 9780201598810
Publisher: Pearson
Copyright: 1998
Format: Paper; 1008 pp
Published: 12/30/1997
Status: Available on Demand
What's this?
This book is designed for a junior- or senior-level course. It contains a numerical analysis package and a symbolic manipulator to aid in the application of the basic tools of mathematics to the formulation and solution of problems in fluid dynamics, solid mechanics, electromagnetism, and other fields. Mathematica and MATLAB are used throughout the text in examples and projects. The standard Table of Contents and familiar level of difficulty are augmented by Mathematica and MATLAB, which are used the way practicing engineers use them.
1. An Introduction to Mathematica. 2. An Introduction to MATLAB. 3. An Introduction to Ordinary Differential Equations. 4. Linear Differential Equations of Higher Order. 5. Laplace Transform and Differential Equations. 6. Applied Linear Algebra. 7. Systems of Differential Equations.Answers to Selected Exercises.Index.
8. Introduction to Vector Calculus. 9. Laplace's Equation—Steady-State Flows and Normal Modes.10. Integral Theorems of Vector Calculus.11. Introduction to Complex Variables.12. Equations of Motion of Fluids.13. Partial Differential Equations: The Characteristics Method.14. Fourier Series and Partial Differential Equations.15. Fourier Transformation.16. Laplace Transform and Partial Differential Equations.Answers to Selected Exercises.Index.
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