CART

(0) items

Introduction to Applied Partial Differential Equations,9781429275927
This item qualifies for
FREE SHIPPING!

FREE SHIPPING OVER $59!

Your order must be $59 or more, you must select US Postal Service Shipping as your shipping preference, and the "Group my items into as few shipments as possible" option when you place your order.

Bulk sales, PO's, Marketplace Items, eBooks, Apparel, and DVDs not included.

Introduction to Applied Partial Differential Equations

by
Edition:
1st
ISBN13:

9781429275927

ISBN10:
1429275928
Format:
Hardcover
Pub. Date:
1/6/2012
Publisher(s):
W. H. Freeman
List Price: $181.05

Rent Textbook

(Recommended)
 
Term
Due
Price
$72.42

Buy Used Textbook

Usually Ships in 2-3 Business Days
U9781429275927
$126.74

Buy New Textbook

Usually Ships in 7-10 Business Days
N9781429275927
$176.52

eTextbook


 
Duration
Price
$95.99
More New and Used
from Private Sellers
Starting at $116.66
See Prices

Questions About This Book?

Why should I rent this book?
Renting is easy, fast, and cheap! Renting from eCampus.com can save you hundreds of dollars compared to the cost of new or used books each semester. At the end of the semester, simply ship the book back to us with a free UPS shipping label! No need to worry about selling it back.
How do rental returns work?
Returning books is as easy as possible. As your rental due date approaches, we will email you several courtesy reminders. When you are ready to return, you can print a free UPS shipping label from our website at any time. Then, just return the book to your UPS driver or any staffed UPS location. You can even use the same box we shipped it in!
What version or edition is this?
This is the 1st edition with a publication date of 1/6/2012.
What is included with this book?
  • The New copy of this book will include any supplemental materials advertised. Please check the title of the book to determine if it should include any CDs, lab manuals, study guides, etc.
  • The Used copy of this book is not guaranteed to include any supplemental materials. Typically, only the book itself is included.
  • The Rental copy of this book is not guaranteed to include any supplemental materials. You may receive a brand new copy, but typically, only the book itself.

Summary

Drawing on his decade of experience teaching the differential equations course ,John Davis offers a refreshing and effective new approach to partial differential equations that is equal parts computational proficiency, visualization, and physical interpretation of the problem at hand.

Table of Contents

Preface
 
1 Introduction to PDEs
1.1 ODEs vs. PDEs
1.2 How PDEs Are Born: Conservation Laws, Fluids, and Waves
1.3 Boundary Conditions in One Space Dimension
1.4 ODE Solution Methods
 
2 Fourier's Method: Separation of Variables
2.1 Linear Algebra Concepts
2.2 The General Solution via Eigenfunctions
2.3 The Coefficients via Orthogonality
2.4 Consequences of Orthogonality
2.5 Robin Boundary Conditions
2.6 Nonzero Boundary Conditions: Steady-States and Transients*
 
3 Fourier Series Theory
3.1 Fourier Series: Sine, Cosine, and Full
3.2 Fourier Series vs. Taylor Series: Global vs. Local Approximations*
3.3 Error Analysis and Modes of Convergence
3.4 Convergence Theorems
3.5 Basic L2 Theory
3.6 The Gibbs Phenomenon*
 
4 General Orthogonal Series Expansions
4.1 Regular and Periodic Sturm-Liouville Theory
4.2 Singular Sturm-Liouville Theory
4.3 Orthogonal Expansions: Special Functions
4.4 Computing Bessel Functions: The Method of Frobenius
4.5 The Gram-Schmidt Procedure*
 
5 PDEs in Higher Dimensions
5.1 Nuggets from Vector Calculus
5.2 Deriving PDEs in Higher Dimensions
5.3 Boundary Conditions in Higher Dimensions
5.4 Well-Posed Problems: Good Models
5.5 Laplace's Equation in 2D
5.6 The 2D Heat and Wave Equations

6 PDEs in Other Coordinate Systems
6.1 Laplace's Equation in Polar Coordinates
6.2 Poisson's Formula and Its Consequences*
6.3 The Wave Equation and Heat Equation in Polar Coordinates
6.4 Laplace's Equation in Cylindrical Coordinates
6.5 Laplace's Equation in Spherical Coordinates

7 PDEs on Unbounded Domains
7.1 The Infinite String: d'Alembert's Solution
7.2 Characteristic Lines
7.3 The Semi-infinite String: The Method of Reflections
7.4 The Infinite Rod: The Method of Fourier Transforms
 
Appendix
Selected Answers
Credits
Index


Please wait while the item is added to your cart...