A Student's Guide to Maxwell's Equations

Hardcover (Print)
Buy New
Buy New from BN.com
$78.22
Used and New from Other Sellers
Used and New from Other Sellers
from $83.53
Usually ships in 1-2 business days
Other sellers (Hardcover)
  • All (6) from $83.53   
  • New (4) from $83.53   
  • Used (2) from $0.00   

Overview

Maxwell's Equations are four of the most influential equations in science: Gauss's law for electric fields, Gauss's law for magnetic fields, Faraday's law, and the Ampere-Maxwell law. In this guide for students, each equation is the subject of an entire chapter, with detailed, plain-language explanations of the physical meaning of each symbol in the equation, for both the integral and differential forms. The final chapter shows how Maxwell's Equations may be combined to produce the wave equation, the basis for the electromagnetic theory of light.
Read More Show Less

Editorial Reviews

From the Publisher
'Professor Fleisch is a great scientific communicator.' electronicdesign.com

'… good examples and problems are given so the student can practice the skills being taught.' IEEE Microwave Magazine

'… its virtue … is to address, through judicious selection of material and masterful repetition of important facts, the needs of a student who finds lectures and textbooks hard to understand, too complex, and besides the point of doing the assigned problems. … Students who are struggling with the material will love the Guide. The Guide is a well-written, concise, honest tool that delivers just what it promises.' American Journal of Physics

Read More Show Less

Product Details

  • ISBN-13: 9780521877619
  • Publisher: Cambridge University Press
  • Publication date: 1/28/2008
  • Pages: 146
  • Sales rank: 972,611
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.51 (d)

Meet the Author

Daniel Fleisch is Associate Professor in the Department of Physics at Wittenberg University, Ohio. His research interests include radar cross-section measurement, radar system analysis, and ground-penetrating radar. He is a member of the American Physical Society (APS), the American Association of Physics Teachers (AAPT), and the Institute of Electronic and Electrical Engineers (IEEE).
Read More Show Less

Table of Contents

Preface vii

Acknowledgments ix

1 Gauss's law for electric fields 1

1.1 The integral form of Gauss's law 1

The electric field 3

The dot product 6

The unit normal vector 7

The component of E normal to a surface 8

The surface integral 9

The flux of a vector field 10

The electric flux through a closed surface 13

The enclosed charge 16

The permittivity of free space 18

Applying Gauss's law (integral form) 20

1.2 The differential form of Gauss's law 29

Nabla - the del operator 31

Del dot - the divergence 32

The divergence of the electric field 36

Applying Gauss's law (differential form) 38

2 Gauss's law for magnetic fields 43

2.1 The integral form of Gauss's law 43

The magnetic field 45

The magnetic flux through a closed surface 48

Applying Gauss's law (integral form) 50

2.2 The differential form of Gauss's law 53

The divergence of the magnetic field 54

Applying Gauss's law (differential form) 55

3 Faraday's law 58

3.1 The integral form of Faraday's law 58

The induced electric field 62

The line integral 64

The path integral of a vector field 65

The electric field circulation 68

The rate of change of flux 69

Lenz's law 71

Applying Faraday's law (integral form) 72

3.2 The differential form of Faraday's law 75

Del cross - the curl 76

The curl of the electric field 79

Applying Faraday's law (differential form) 80

4 The Ampere-Maxwell law 83

4.1 The integral form of the Ampere-Maxwell law 83

The magnetic field circulation 85

The permeability of free space 87

The enclosed electric current 89

The rate of change of flux 91

Applying the Ampere-Maxwell law (integral form) 95

4.2 The differential form of theAmpere-Maxwell law 101

The curl of the magnetic field 102

The electric current density 105

The displacement current density 107

Applying the Ampere-Maxwell law (differential form) 108

5 From Maxwell's Equations to the wave equation 112

The divergence theorem 114

Stokes' theorem 116

The gradient 119

Some useful identities 120

The wave equation 122

Appendix Maxwell's Equations in matter 125

Further reading 131

Index 132

Read More Show Less

Customer Reviews

Be the first to write a review
( 0 )
Rating Distribution

5 Star

(0)

4 Star

(0)

3 Star

(0)

2 Star

(0)

1 Star

(0)

Your Rating:

Your Name: Create a Pen Name or

Barnes & Noble.com Review Rules

Our reader reviews allow you to share your comments on titles you liked, or didn't, with others. By submitting an online review, you are representing to Barnes & Noble.com that all information contained in your review is original and accurate in all respects, and that the submission of such content by you and the posting of such content by Barnes & Noble.com does not and will not violate the rights of any third party. Please follow the rules below to help ensure that your review can be posted.

Reviews by Our Customers Under the Age of 13

We highly value and respect everyone's opinion concerning the titles we offer. However, we cannot allow persons under the age of 13 to have accounts at BN.com or to post customer reviews. Please see our Terms of Use for more details.

What to exclude from your review:

Please do not write about reviews, commentary, or information posted on the product page. If you see any errors in the information on the product page, please send us an email.

Reviews should not contain any of the following:

  • - HTML tags, profanity, obscenities, vulgarities, or comments that defame anyone
  • - Time-sensitive information such as tour dates, signings, lectures, etc.
  • - Single-word reviews. Other people will read your review to discover why you liked or didn't like the title. Be descriptive.
  • - Comments focusing on the author or that may ruin the ending for others
  • - Phone numbers, addresses, URLs
  • - Pricing and availability information or alternative ordering information
  • - Advertisements or commercial solicitation

Reminder:

  • - By submitting a review, you grant to Barnes & Noble.com and its sublicensees the royalty-free, perpetual, irrevocable right and license to use the review in accordance with the Barnes & Noble.com Terms of Use.
  • - Barnes & Noble.com reserves the right not to post any review -- particularly those that do not follow the terms and conditions of these Rules. Barnes & Noble.com also reserves the right to remove any review at any time without notice.
  • - See Terms of Use for other conditions and disclaimers.
Search for Products You'd Like to Recommend

Recommend other products that relate to your review. Just search for them below and share!

Create a Pen Name

Your Pen Name is your unique identity on BN.com. It will appear on the reviews you write and other website activities. Your Pen Name cannot be edited, changed or deleted once submitted.

 
Your Pen Name can be any combination of alphanumeric characters (plus - and _), and must be at least two characters long.

Continue Anonymously

    If you find inappropriate content, please report it to Barnes & Noble
    Why is this product inappropriate?
    Comments (optional)