Ebook: Differential Geometry and Relativity Theory: An Introduction

Differential Geometry and Relativity Theory: An Introduction approaches relativity as a geometric theory of space and time in which gravity is a manifestation of space-timecurvature, rather than a force. Uniting differential geometry and both special and general relativity in a single source, this easy-to-understand text opens the general theory of relativity to mathematics majors having a background only in multivariable calculus and linear algebra.The book offers a broad overview of the physical foundations and mathematical details of relativity, and presents concrete physical interpretations of numerous abstract concepts in Riemannian geometry. The work is profusely illustrated with diagrams aiding in the understanding of proofs and explanations. Appendices feature important material on vector analysis and hyperbolic functions. Differential Geometry and Relativity Theory: An Introduction serves as the ideal text for high-level undergraduate courses in mathematics and physics, and includes a solutions manual augmenting classroom study. It is an invaluable reference for mathematicians interestedin differential and Riemannian geometry, or the special and general theories of relativity.