Electricity and Magnetism for Mathematicians
A Guided Path from Maxwell's Equations to Yang–Mills
By Thomas A. Garrity | Publisher: Cambridge University Press
About the book
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.
Editions of Electricity and Magnetism for Mathematicians
- Hardcover
- ISBN 9781107078208
- Paperback
- ISBN 9781107435162
Read an Excerpt
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.
Frequently Asked Questions
What is Electricity and Magnetism for Mathematicians about?
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.
What core themes, tropes, or subjects are explored in Electricity and Magnetism for Mathematicians?
Mathematics and Science > Physics > Mathematical / Computational / Theoretical physics
Where can I read a sample of Electricity and Magnetism for Mathematicians?
You can read an official preview of the few pages here https://www.book2look.com/book/9781107078208
Who is/are the Author/s of the book Electricity and Magnetism for Mathematicians?
Thomas A. Garrity
What are the ISBN numbers for the physical and digital editions?
Electricity and Magnetism for Mathematicians is available as hardcover(ISBN 9781107078208) and paperback(ISBN 9781107435162)