Springer, 2000, 480 p. This book is an introduction to Einstein's theories of special and general relativity. 1b read it, you need only a first course in linear algebra and multivariable calculus and a familiarity with the physical applications of calculus. Because the general theory is more advanced than the special, most books limit themselves to one or the other. However, I have tried to encompass both by using the geometry of spacetime as the unifying theme. Of course, we still have large mathematical bridges to cross. Special relativity is just linear algebra, but general relativity is differential geometry-specifically, the curvature of four-dimensional spacetime.
Чтобы скачать этот файл зарегистрируйтесь и/или войдите на сайт используя форму сверху.
Springer, 2014. — 440 p. Geometric Trilogy 1. An Axiomatic Approach to Geometry Geometric Trilogy 2. An Algebraic Approach to Geometry Geometric Trilogy 3. An Axiomatic Approach to Geometry The reader is invited to immerse himself in a love story which has been unfolding for 35 centuries: the love story between mathematicians and geometry. In addition to accompanying the reader up...
Springer, 2014. — 462 p. Geometric Trilogy 1. An Axiomatic Approach to Geometry Geometric Trilogy 2. An Algebraic Approach to Geometry Geometric Trilogy 3. An Axiomatic Approach to Geometry The reader is invited to immerse himself in a love story which has been unfolding for 35 centuries: the love story between mathematicians and geometry. In addition to accompanying the reader up...
Oxford University Press, 2005. — 225 p. — ISBN10: 0199275831. Physical Relativity explores the nature of the distinction at the heart of Einstein's 1905 formulation of his special theory of relativity: that between kinematics and dynamics. Einstein himself became increasingly uncomfortable with this distinction, and with the limitations of what he called the 'principle theory'...
Oxford University Press, 2015. - 279 pp. General Relativity is a beautiful geometric theory, simple in its mathematical formulation but leading to numerous consequences with striking physical interpretations: gravitational waves, black holes, cosmological models, and so on. This introductory textbook is written for mathematics students interested in physics and physics students...
Springer, 2013. - 452 pp. Gravity, a Geometrical Course presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues...
Springer, 2013. — 336 p. Gravity, a Geometrical Course presents general relativity (GR) in a systematic and exhaustive way, covering three aspects that are homogenized into a single texture: i) the mathematical, geometrical foundations, exposed in a self consistent contemporary formalism, ii) the main physical, astrophysical and cosmological applications, updated to the issues...