Ebook Download Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills, by Thomas A. Garrity
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Electricity and Magnetism for Mathematicians: A Guided Path from Maxwell's Equations to Yang-Mills, by Thomas A. Garrity
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This text is an introduction to some of the mathematical wonders of Maxwell's equations. These equations led to the prediction of radio waves, the realization that light is a type of electromagnetic wave, and the discovery of the special theory of relativity. In fact, almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell's equations. Even more surprising is that these equations and their generalizations have led to some of the most important mathematical discoveries of the past thirty years. It seems that the mathematics behind Maxwell's equations is endless. The goal of this book is to explain to mathematicians the underlying physics behind electricity and magnetism and to show their connections to mathematics. Starting with Maxwell's equations, the reader is led to such topics as the special theory of relativity, differential forms, quantum mechanics, manifolds, tangent bundles, connections, and curvature.
- Sales Rank: #400247 in Books
- Published on: 2015-01-19
- Released on: 2015-03-19
- Original language: English
- Number of items: 1
- Dimensions: 8.98" h x .59" w x 5.98" l, .0 pounds
- Binding: Paperback
- 294 pages
About the Author
Thomas A. Garrity is the William R. Kenan, Jr Professor of Mathematics at Williams College, where he was the director of the Williams College Project for Effective Teaching for many years. He has written a number of research papers and has authored or coauthored two other books, All the Mathematics You Missed (But Need to Know for Graduate School) and Algebraic Geometry: A Problem Solving Approach. Among his awards and honors is the MAA Deborah and Franklin Tepper Haimo Award for outstanding college or university teaching.
Most helpful customer reviews
56 of 62 people found the following review helpful.
Wildly inaccurate title
By Mark
This is not in any sense "electricity and magnetism for mathematicians". Rather, it's an introductory and fairly rushed text on electromagnetism and calculus on manifolds for undergraduates. Readers looking for the connection with Yang-Mills theories should look elsewhere - only a single page is devoted to this topic.
25 of 26 people found the following review helpful.
A guided tour of modern math and physics
By Rebekah Cook
The subtitle of the book is more informative than the main title. The book really is "a guided path from Maxwell's equations to Yang-Mills." It does not go into the kind of exercises you'd find in on an electrical engineering homework assignment, but it presents Maxwell's equations from several increasingly sophisticated perspectives, culminating in a glimpse of Yang-Mills theory. Along the way it gives an introduction to special relativity, Lagrangian mechanics, calculus on manifolds, and quantum mechanics.
13 of 14 people found the following review helpful.
I really enjoyed this book
By Stig Uteng
I really enjoyed this book! It gives a truly well-explained tour through physics and explaining everything needed in understanding the framework of modern physics. Concluding in force=curvature and gauge=connection, an integral part of physics and then Yang-Mills theory.
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