Introduction to Partial Differential Equations with MATLAB, Second Edition

ISBN-10: 1439898464
ISBN-13: 9781439898468
Edition: 2nd 2013 (Revised)
List price: $111.00 Buy it from $25.03
eBook available
This item qualifies for FREE shipping

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

30 day, 100% satisfaction guarantee

If an item you ordered from TextbookRush does not meet your expectations due to an error on our part, simply fill out a return request and then return it by mail within 30 days of ordering it for a full refund of item cost.

Learn more about our returns policy

Description: The second edition of a bestseller, this textbook on differential equations provides an accessible discussion of the topic without assuming readers have had prior courses on real analysis. As with the previous edition, it features the inclusion of  More...

New Starting from $113.38
eBooks Starting from $43.95
Rent
Buy
what's this?
Rush Rewards U
Members Receive:
coins
coins
You have reached 400 XP and carrot coins. That is the daily max!
You could win $10,000

Get an entry for every item you buy, rent, or sell.

Study Briefs

Limited time offer: Get the first one free! (?)

All the information you need in one place! Each Study Brief is a summary of one specific subject; facts, figures, and explanations to help you learn faster.

Add to cart
Study Briefs
History of Western Art Online content $4.95 $1.99
Add to cart
Study Briefs
History of World Philosophies Online content $4.95 $1.99
Add to cart
Study Briefs
American History Volume 1 Online content $4.95 $1.99
Add to cart
Study Briefs
History of Western Music Online content $4.95 $1.99

Customers also bought

Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading
Loading

Book details

List price: $111.00
Edition: 2nd
Copyright year: 2013
Publisher: CRC Press LLC
Publication date: 6/26/2013
Binding: Hardcover
Pages: 683
Size: 6.25" wide x 9.25" long x 1.25" tall
Weight: 1.782
Language: English

The second edition of a bestseller, this textbook on differential equations provides an accessible discussion of the topic without assuming readers have had prior courses on real analysis. As with the previous edition, it features the inclusion of MATLAB throughout, updated to reflect the latest version the software now being used. The second edition puts more emphasis on solving linear separable equations based on the application of Fourier series. This gives students a better understanding of boundary value problems for ordinary differential equations.

Preface
Prelude to Chapter 1
Introduction
What are Partial Differential Equations?
PDEs We Can Already Solve
Initial and Boundary Conditions
Linear PDEs-Definitions
Linear PDEs-The Principle of Superposition
Separation of Variables for Linear, Homogeneous PDEs
Eigenvalue Problems
Prelude to Chapter 2
The Big Three PDEs
Second-Order, Linear, Homogeneous PDEs with Constant Coefficients
The Heat Equation and Diffusion
The Wave Equation and the Vibrating String
Initial and Boundary Conditions for the Heat and Wave Equations
Laplace's Equation-The Potential Equation
Using Separation of Variables to Solve the Big Three PDEs
Prelude to Chapter 3
Fourier Series
Introduction
Properties of Sine and Cosine
The Fourier Series
The Fourier Series, Continued
The Fourier Series-Proof of Pointwise Convergence
Fourier Sine and Cosine Series
Completeness
Prelude to Chapter 4
Solving the Big Three PDEs on Finite Domains
Solving the Homogeneous Heat Equation for a Finite Rod
Solving the Homogeneous Wave Equation for a Finite String
Solving the Homogeneous Laplace's Equation on a Rectangular Domain
Nonhomogeneous Problems
Prelude to Chapter 5
Characteristics
First-Order PDEs with Constant Coefficients
First-Order PDEs with Variable Coefficients
The Infinite String
Characteristics for Semi-Infinite and Finite String Problems
General Second-Order Linear PDEs and Characteristics
Prelude to Chapter 6
Integral Transforms
The Laplace Transform for PDEs
Fourier Sine and Cosine Transforms
The Fourier Transform
The Infinite and Semi-Infinite Heat Equations
Distributions, the Dirac Delta Function and Generalized Fourier Transforms
Proof of the Fourier Integral Formula
Prelude to Chapter 7
Special Functions and Orthogonal Polynomials
The Special Functions and Their Differential Equations
Ordinary Points and Power Series Solutions; Chebyshev, Her-mite and Legendre Polynomials
The Method of Frobenius; Laguerre Polynomials
Interlude: The Gamma Function
Bessel Functions
Recap: A List of Properties of Bessel Functions and Orthogonal Polynomials
Prelude to Chapter 8
Sturm-Liouville Theory and Generalized Fourier Series
Sturm-Liouville Problems
Regular and Periodic Stunri-Liouville Problems
Singular Sturm-Liouville Problems; Self-Adjoint Problems
The Mean-Square or L<sup>2</sup> Norm and Convergence in the Mean
Generalized Fourier Series; Parseval's Equality and Completeness
Prelude to Chapter 9
PDEs in Higher Dimensions
PDEs in Higher Dimensions: Examples and Derivations
The Heat and Wave Equations on a Rectangle; Multiple Fourier Series
Laplace's Equation in Polar Coordinates: Poisson's Integral Formula
The Wave and Heat Equations in Polar Coordinates
Problems in Spherical Coordinates
The Infinite Wave Equation and Multiple Fourier Transforms
Postlude: Eigenvalues and Eigenfunctions of the Laplace Operator; Green's Identities for the Laplacian
Prelude to Chapter 10
Nonhomogeneous Problems and Green's Functions
Green's Functions for ODEs
Green's Function and the Dirac Delta Function
Green's Functions for Elliptic PDEs (I): Poisson's Equation in Two Dimensions
Green's Functions for Elliptic PDEs (II): Poisson's Equation in Three Dimensions; the Helmholtz Equation
Green's Functions for Equations of Evolution
Prelude to Chapter 11
Numerical Methods
Finite Difference Approximations for ODEs
Finite Difference Approximations for PDEs
Spectral Methods and the Finite Element Method
Uniform Convergence; Differentiation and Integration of Fourier Series
Other Important Theorems
Existence and Uniqueness Theorems
A Menagerie of PDEs
MATLAB Code for Figures and Exercises
Answers to Selected Exercises
References
Index

×
Free shipping on orders over $35*

*A minimum purchase of $35 is required. Shipping is provided via FedEx SmartPost® and FedEx Express Saver®. Average delivery time is 1 – 5 business days, but is not guaranteed in that timeframe. Also allow 1 - 2 days for processing. Free shipping is eligible only in the continental United States and excludes Hawaii, Alaska and Puerto Rico. FedEx service marks used by permission."Marketplace" orders are not eligible for free or discounted shipping.

Learn more about the TextbookRush Marketplace.

×