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Introduction to Partial Differential Equations for Scientists and Engineers UsingMathematica.

Author: Kuzman Adzievski; Abul Hasan Siddiqi
Publisher: Hoboken : CRC Press, 2013.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Database:WorldCat
Summary:
Fourier Series The Fourier Series of a Periodic Function Convergence of Fourier Series Integration and Differentiation of Fourier Series Fourier Sine and Fourier Cosine Series Mathematica Projects Integral TransformsThe Fourier Transform and Elementary Properties Inversion Formula of the Fourier Transform Convolution Property of the Fourier TransformThe Laplace Transform and Elementary Properties Differentiation and  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Adzievski, Kuzman.
Introduction to Partial Differential Equations for Scientists and Engineers UsingMathematica.
Hoboken : CRC Press, ©2013
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Kuzman Adzievski; Abul Hasan Siddiqi
ISBN: 9781466510579 1466510579
OCLC Number: 908077949
Description: 1 online resource (645 pages)
Contents: Front Cover; Contents; Chapter 1 Fourier Series; Chapter 2 Integral Transforms; Chapter 3 Sturm{liouville Problems; Chapter 4 Partial Differential Equations; Chapter 5 The Wave Equation; Chapter 6 The Heat Equation; Chapter 7 Laplace And Poisson Equations; Chapter 8 Finite Difference Numerical Methods; Appendices; A. Table Of Laplace Transforms; B. Table Of Fourier Transforms; C. Series And Uniform Convergence Facts; D. Basic Facts Of Ordinary Dierential Equations; E. Vector Calculus Facts; F.A Summary Of Analytic Function Theory; G. Euler Gamma And Beta Functions; H. Basics Of Mathematica.

Abstract:

Fourier Series The Fourier Series of a Periodic Function Convergence of Fourier Series Integration and Differentiation of Fourier Series Fourier Sine and Fourier Cosine Series Mathematica Projects Integral TransformsThe Fourier Transform and Elementary Properties Inversion Formula of the Fourier Transform Convolution Property of the Fourier TransformThe Laplace Transform and Elementary Properties Differentiation and Integration of the Laplace Transform Heaviside and Dirac Delta Functions Convolution Property of the Laplace Transform Solution of Differential Equations by the Integral Transforms.

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With a special emphasis on engineering and science applications, this textbook provides a mathematical introduction to PDEs at the undergraduate level. It takes a new approach to PDEs by presenting Read more...

 
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