# Advanced Engineering Mathematics with MATLAB, Second Edition

List price: US$102.95

Currently unavailable

## Description

Relevant, insightful examples follow nearly every concept introduced and demonstrate its practical application. This edition includes two new chapters on differential equations, another on Hilbert transforms, and many new examples, problems, and projects that help build problem-solving skills. Most importantly, the book now incorporates the use of MATLAB throughout the presentation to reinforce the concepts presented. MATLAB code is included so readers can take an analytic result, fully explore it graphically, and gain valuable experience with this industry-standard software.

show more

## Product details

- Hardback | 840 pages
- 162.56 x 233.68 x 50.8mm | 1,292.73g
- 01 Apr 2003
- Taylor & Francis Inc
- CRC Press Inc
- Bosa Roca, United States
- English
- New edition
- 2nd New edition
- 15 Tables, black and white; 204 Illustrations, black and white
- 1584883499
- 9781584883494

## Other books in this series

### Pocket Book of Integrals and Mathematical Formulas, 5th Edition

01 May 2015

Paperback

US$24.70 US$32.95

Save US$8.25

### CRC Standard Mathematical Tables and Formulas, 33rd Edition

01 Feb 2018

Hardback

US$98.73 US$99.95

Save US$1.22

### Advanced Engineering Mathematics with MATLAB, Third Edition

03 Nov 2010

Hardback

US$120.95 US$129.94

Save US$8.99

### The Second-Order Adjoint Sensitivity Analysis Methodology

09 Mar 2018

Hardback

US$120.70 US$129.94

Save US$9.24

### Advanced Engineering Mathematics with MATLAB, Fourth Edition

14 Aug 2017

Hardback

US$135.15 US$139.99

Save US$4.84

### Green's Functions with Applications, Second Edition

22 Aug 2018

Paperback

US$71.55 US$79.95

Save US$8.40

## Table of contents

COMPLEX VARIABLES

Complex Numbers

Finding Roots

The Derivative in the Complex Plane: The Cauchy-Riemann Equations

Line Integrals

Cauchy-Goursat Theorem

Cauchy's Integral Formula

Taylor and Laurent Expansions and Singularities

Theory of Residues

Evaluation of Real Definite Integrals

Cauchy's Principal Value Integral

FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Classification of Differential Equations

Separation of Variables

Homogeneous Equations

Exact Equations

Linear Equations

Graphical Solutions

Numerical Methods

HIGHER-ORDER ORDINARY DIFFERENTIAL EQUATIONS

Homogeneous Linear Equations with Constant Coefficients

Simple Harmonic Motion

Damped Harmonic Motion

Method of Undetermined Coefficients

Forced Harmonic Motion

Variation of Parameters

Euler-Cauchy Equation

Phase Diagrams

Numerical Methods

FOURIER SERIES

Fourier Series

Properties of Fourier Series

Half-Range Expansions

Fourier Series with Phase Angles

Complex Fourier Series

The Use of Fourier Series in the Solution of Ordinary Differential Equations

Finite Fourier Series

THE FOURIER TRANSFORM

Fourier Transforms

Fourier Transforms Containing the Delta Function

Properties of Fourier Transforms

Inversion of Fourier Transforms

Convolution

Solution of Ordinary Differential Equations by Fourier Transforms

THE LAPLACE TRANSFORM

Definition and Elementary Properties

The Heaviside Step and Dirac Delta Functions

Some Useful Theorems

The Laplace Transform of a Periodic Function

Inversion by Partial Fractions: Heaviside's Expansion Theorem

Convolution

Integral Equations

Solution of Linear Differential Equations with Constant Coefficients

Transfer Functions, Green's Function, and Indicial Admittance

Inversion by Contour Integration

THE Z-TRANSFORM

The Relationship of the Z-Transform to the Laplace Transform

Some Useful Properties

Inverse Z-Transforms

Solution of Difference Equations

Stability of Discrete-Time Systems

THE HILBERT TRANSFORM

Definition

Some Useful Properties

Analytic Signals

Causality: The Kramer-Kronig Relationship

THE STURM-LIOUVILLE PROBLEM

Eigenvalues and Eigenfunctions

Orthogonality of Eigenfunctions

Expansion in Series of Eigenfunctions

A Singular Sturm-Liouville Problem: Legendre's Equation

Another Singular Sturm-Liouville Problem: Bessel's Equation

THE WAVE EQUATION

The Vibrating String

Initial Conditions: Cauchy Problem

Separation of Variables

D'Alembert's Formula

The Laplace Transform Method

Numerical Solution of the Wave Equation

THE HEAT EQUATION

Derivation of the Heat Equation

Initial and Boundary Conditions

Separation of Variables

The Laplace Transform Method

The Fourier Transform Method

The Superposition Integral

Numerical Solution of the Heat Equation

LAPLACE'S EQUATION

Derivation of Laplace's Equation

Boundary Conditions

Separation of Variables

The Solution of Laplace's Equation on the Upper Half-Plane

Poisson's Equation on a Rectangle

The Laplace Transform Method

Numerical Solution of Laplace's Equation

VECTOR CALCULUS

Review

Divergence and Curl

Line Integrals

The Potential Function

Surface Integrals

Green's Lemma

Stokes' Theorem

Divergence Theorem

LINEAR ALGEBRA

Fundamentals of Linear Algebra

Determinants

Cramer's Rule

Row Echelon Form and Gaussian Elimination

Eigenvalues and Eigenvectors

Systems of Linear Differential Equations

ANSWERS TO THE ODD-NUMBERED PROBLEMS

INDEX

show more