Mathematical Methods in Physics and Engineering with Mathematica 1st Edition by Ferdinand F Cap ISBN 1584884029 9781584884026

Mathematical Methods in Physics and Engineering with Mathematica 1st Edition by Ferdinand  F Cap – Ebook PDF Instant Download/Delivery: 1584884029, 9781584884026
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Product details:

ISBN 10: 1584884029 
ISBN 13: 9781584884026
Author: Ferdinand  F Cap

Mathematical Methods in Physics and Engineering with Mathematica 1st Table of contents:

• Introduction

  • What is a Boundary Problem?

  • Classification of Partial Differential Equations

  • Types of Boundary Conditions and the Collocation Method

  • Differential Equations as Models for Nature

• Boundary Problems of Ordinary Differential Equations

  • Linear Differential Equations

  • Solving Linear Differential Equations

  • Differential Equations of Physics and Engineering

  • Boundary Value Problems and Eigenvalues

  • Boundary Value Problems as Initial Value Problems

  • Nonlinear Ordinary Differential Equations

  • Solutions of Nonlinear Differential Equations

• Partial Differential Equations

  • Coordinate Systems and Separability

  • Methods to Reduce Partial to Ordinary Differential Equations

  • The Method of Characteristics

  • Nonlinear Partial Differential Equations

• Boundary Problems with One Closed Boundary

  • Laplace and Poisson Equations

  • Conformal Mapping in Two and Three Dimensions

  • d’Alembert Wave Equation and String Vibrations

  • Helmholtz Equation and Membrane Vibrations

  • Rods and the Plate Equation

  • Approximation Methods

  • Variational Calculus

  • Collocation Methods

• Boundary Problems with Two Closed Boundaries

  • Inseparable Problems

  • Holes in the Domain

  • Two Boundaries Belonging to Different Coordinate Systems

  • Corners in the Boundary

• Nonlinear Boundary Problems

  • Some Definitions and Examples

  • Moving and Free Boundaries

  • Waves of Large Amplitudes: Solitons

  • The Rupture of an Embankment-Type Water Dam

  • Gas Flow with Combustion

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Tags: Ferdinand F Cap, Mathematical Methods, Engineering