Partial Differential Equations and Mathematica

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A01=Michael R. Schaferkotter
A01=Pratap Puri
A01=Prem K. Kythe
Author_Michael R. Schaferkotter
Author_Pratap Puri
Author_Prem K. Kythe
Auxiliary Equations
boundary
boundary layer analysis
Category=PBKJ
condition
constant
continuum mechanics applications
cos
Cos 2?
Cos 2θ
Cos Ax
Cos Ax Sin Ax
dirichlet
Dx Dy
eq_isMigrated=1
eq_isMigrated=2
eq_nobargain
finite difference methods
first
Fourier Sine
Fourier Sine Series
Fourier Sine Transform
Green's Function
Green’s Function
Integral Surface
Laplace Inverse
Laplace Transform
Linear Partial Differential Operator
Mathematica Notebook
Nonhomogeneous Partial Differential Equations
npx
numerical solutions for boundary value problems
order
ordinary
Ordinary Differential Equations
Partial Differential Equation
perturbation theory
Quasilinear Partial Differential Equation
R2 Cos 2?
R2 Cos 2θ
sin
Sin 2?
Sin 2θ
Sin Ax
Sin M?x
Sin Mπx
Sin N?x
Sin Nπx
Trigonometric Fourier Series
U1 U2 U3 U4 U5
undergraduate mathematics textbook
wave propagation modeling

Product details

  • ISBN 9781584883142
  • Weight: 725g
  • Dimensions: 156 x 234mm
  • Publication Date: 12 Nov 2002
  • Publisher: Taylor & Francis Inc
  • Publication City/Country: US
  • Product Form: Hardback
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Early training in the elementary techniques of partial differential equations is invaluable to students in engineering and the sciences as well as mathematics. However, to be effective, an undergraduate introduction must be carefully designed to be challenging, yet still reasonable in its demands. Judging from the first edition's popularity, instructors and students agree that despite the subject's complexity, it can be made fairly easy to understand.

Revised and updated to reflect the latest version of Mathematica, Partial Differential Equations and Boundary Value Problems with Mathematica, Second Edition meets the needs of mathematics, science, and engineering students even better. While retaining systematic coverage of theory and applications, the authors have made extensive changes that improve the text's accessibility, thoroughness, and practicality.

New in this edition:

  • Upgraded and expanded Mathematica sections that include more exercises
  • An entire chapter on boundary value problems
  • More on inverse operators, Legendre functions, and Bessel functions
  • Simplified treatment of Green's functions that make it more accessible to undergraduates
  • A section on the numerical computation of Green's functions
  • Mathemcatica codes for solving most of the problems discussed
  • Boundary value problems from continuum mechanics, particularly on boundary layers and fluctuating flows
  • Wave propagation and dispersion

    With its emphasis firmly on solution methods, this book is ideal for any mathematics curricula. It succeeds not only in preparing readers to meet the challenge of PDEs, but also in imparting the inherent beauty and applicability of the subject.
  • Kythe, Prem K.; Schäferkotter, Michael R.; Puri, Pratap

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