2 results for "Mathematics"

Einstein's legacy: the unity of space and time

Schwinger, Julian
In this splendidly lucid and profusely illustrated book, a Nobel laureate relates the fascinating story of Einstein, the general and special theories of relativity, and the scientists before and since who influenced relativity's genesis and development. Eschewing technical terms in favor of ordinary language, the book offers a perfect introduction to relativity for readers without specialized knowledge of mathematics and science. The author follows Einstein's own dictum to make explanations "as simple as possible, but not more so." His periodic use of equations as points of clarification involve nothing more than simple algebra; these can be disregarded by math-averse readers. Dr. Schwinger begins with a discussion of the conflict between two principles of electromagnetic theory that are irreconcilable in Newtonian physics, and how Einstein's attempts to resolve this conflict led to the theory of relativity. Readers learn about the meaning of time and the paradoxes of space travel at speeds close to that of light, following the development of Einstein's relativistic thought and his epochal perception that E=mc 2. Further chapters examine gravity and its effect on light; non-Euclidean geometry and the curving of space-time; and the impact of radio astronomy and space-age discoveries upon Einstein's model of the universe. Amusing quotes, suppositions, and illustrative fictions — along with numerous sidebars and boxes explaining physical principles, anomalies, events, and inventions — enhance this accessible introduction, and provide stimulating food for thought. Preface. 189 black-and-white illustrations. Sources of the Illustrations. Index.
Dover Publications 2002-01-01 250 pages

The global nonlinear stability of the Minkowski space

Christodoulou, Demetrios,Klainerman, Sergiu
The aim of this work is to provide a proof of the nonlinear gravitational stability of the Minkowski space-time. More precisely, the book offers a constructive proof of global, smooth solutions to the Einstein Vacuum Equations, which look, in the large, like the Minkowski space-time. In particular, these solutions are free of black holes and singularities. The work contains a detailed description of the sense in which these solutions are close to the Minkowski space-time, in all directions. It thus provides the mathematical framework in which we can give a rigorous derivation of the laws of gravitation proposed by Bondi. Moreover, it establishes other important conclusions concerning the nonlinear character of gravitational radiation. The authors obtain their solutions as dynamic developments of all initial data sets, which are close, in a precise manner, to the flat initial data set corresponding to the Minkowski space-time. They thus establish the global dynamic stability of the latter. Originally published in 1994. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
Princeton University Press 2014 514 pages