a guided path from Maxwell's equations to Yang-Mills /
نام نخستين پديدآور
Thomas A. Garrity, Williams College, Williamstown, Massachusetts ; with illustrations by Nicholas Neumann-Chun
مشخصات ظاهری
نام خاص و کميت اثر
xiv, 282 pages, 2 unnumbered pages of plates :
ساير جزييات
illustrations ;
ابعاد
24 cm
یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 275-278) and index
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
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. Does not assume any knowledge of physics, and only basic undergraduate mathematics.--Publisher website
عنوان اصلی به زبان دیگر
عنوان اصلي به زبان ديگر
Guided path from Maxwell's equations to Yang-Mills
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Electromagnetic theory-- Mathematics, Textbooks
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )