Covariant Physics
From Classical Mechanics to General Relativity and Beyond
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19 821 Ft
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Product details:
- Edition number 1
- Publisher OUP Oxford
- Date of Publication 2 March 2021
- ISBN 9780198865001
- Binding Paperback
- No. of pages416 pages
- Size 250x170x20 mm
- Weight 776 g
- Language English
- Illustrations 79 line drawings, 14 colour images 142
Categories
Short description:
A textbook for 2nd and 3rd year undergraduate students using the fundamental principle of covariance as a basis for studying classical mechanics, electrodynamics, the special theory of relativity, and the general theory of relativity, before moving on to more advanced topics of field theory, differential forms, and modified theories of gravity.
MoreLong description:
Covariant Physics: From Classical Mechanics to General Relativity and Beyond endeavours to provide undergraduate students as well as self-learners with training in the fundamentals of the modern theories of spacetime, most notably the general theory of relativity as well as physics in curved spacetime backgrounds in general. This text does so with the barest of mathematical preparation. In fact, very little beyond multivariable calculus and a bit of linear algebra is assumed.
Throughout this textbook, the main theme tying the various topics is the so-called principle of covariance - a fundamental symmetry of physics that one rarely encounters in undergraduate texts. The material is introduced very gradually, starting with the simplest of high school mathematics, and moving through the more intense notions of tensor calculus, geometry, and differential forms with ease. Familiar notions from classical mechanics and electrodynamics are used to increase familiarity with the advanced mathematical ideas, and to emphasize the unity of all of physics under the single principle of covariance.
The mathematical and physical techniques developed in this book should allow students to perform research in various fields of theoretical physics as early as their sophomore year in college. The language the reader will learn in this book is the foundational mathematical language of many modern branches of physics, and as such should allow them to read and generally understand many modern physics papers.
Introduces and progresses with the subject in ways that are very conducive to good learning and understanding, and fills a real (and currently unmet) need in an undergraduate's education in preparation for some of modern physics' most fascinating areas.
Table of Contents:
Coordinate Systems and Vectors
Tensors
Classical Covariance
Special Covariance
General Covariance
Physics in curved spacetime
Riemann and Einstein
Least action and classical fields
Differential forms
Generalizing general relativity
