Einstein's theory: a rigorous introduction for the mathematically untrained

This book provides an introduction to the theory of relativity and the mathematics used in its processes. Three elements of the book make it stand apart from previously published books on the theory of relativity. First, the book starts at a lower mathematical level than standard books with tensor calculus of sufficient maturity to make it possible to give detailed calculations of relativistic predictions of practical experiments. Self-contained introductions aregiven, for example vector calculus, differential calculus and integrations. Second, in-between calculations have been included, making it possible for the non-technical reader to follow step-by-step calculations. Thirdly, the conceptual development is gradual and rigorous in order to provide the inexperienced reader with a philosophically satisfying understanding of the theory. The goalof this book is to provide the reader with a sound conceptual understanding of both the special and general theories of relativity, and gain an insight into how the mathematics of the theory can be utilized to calculate relativistic effects. Covers both special and general theory of relativity and applicationsto cosmology in a logical and self-contained way. Provides the reader with a philosophically satisfying understanding of Einstein’s theory. Presents both the conceptual and working knowledge of Einstein’s theory, without the reader having to make his own calculations INDICE: Vectors. Differential calculus. Tangent vectors. Curvilinear coordinate systems. The metric tensor. The Christoffel symbols. Covariant differentiation. Geodesics. Curvature. Conservation laws of classical mechanics. Einstein’s field equations. Einstein’s theory of spacetime and gravitation. Some applications. Relativistic universe models.

• ISBN: 978-1-4614-0705-8
• Editorial: Springer New York
• Encuadernacion: Cartoné
• Páginas: 428
• Fecha Publicación: 28/09/2011
• Nº Volúmenes: 1
• Idioma: Inglés