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Books > Science & Mathematics > Physics > Relativity physics
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Covariant Physics - From Classical Mechanics to General Relativity and Beyond (Paperback, 1)
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Covariant Physics - From Classical Mechanics to General Relativity and Beyond (Paperback, 1)
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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.
General
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