Space: from Euclid to Einstein
by Roy McWeeny
Publisher: Learning Development Institute 2011
Number of pages: 66
This book goes back to the work of the philosophers and astronomers of two thousand years ago; and it extends to that of Einstein, whose work laid the foundations for our present-day ideas about the nature of space itself.
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by David Waite - modernrelativitysite.com
This is a textbook on theories of special and general relativity. It is assumed that the reader has an understanding of mathematics through calculus and partial differential equations. The relevant tensor calculus is presented throughout as needed.
by Frederic P. Schuller - arXiv
Which geometries on a smooth manifold can serve as a spacetime structure? This question is comprehensively addressed from first principles, exploring the kinematics and gravitational dynamics of all tensorial geometries on a smooth manifold.
by Benjamin Crowell - LightAndMatter.com
This textbook is a nonmathematical presentation of Einstein's theories of special and general relativity, including a brief treatment of cosmology. It is a set of lecture notes for the author's course Relativity for Poets at Fullerton College.
by Bernhard Auchmann, Stefan Kurz - arXiv
We introduce a relativistic splitting structure as a means to map equations of electromagnetism from curved four-dimensional space-time to 3-dimensional observer's space. We focus on mathematical structures that are motivated by the physical theory.