This text is a considerable amplification and modernization of the authors' earlier Essential Relativity. It brings relativity alive conceptually and emphasizes the foundations and the logical subtleties rather than the mathematics or the detailed experiments. It includes 300 exercises and promotes a visceral understanding and the confidence to tackle any fundamental relativistic problem. Following a critical overview of the whole field, special-relativistic kinematics is presented three dimensionally before the mathematical level gradually rises. Four vectors preceded mechanics, four tensors precede Maxwell theory, and three chapters on cosmology end the text. This book brings the challenge and excitement of modern relativity and cosmology at a rigorous mathematical level within the reach of advanced undergraduates, while containing enough new material to interest lecturers and researchers.

In retrospect, the first edition of this book now seems like a mere sketch for a book. The present version is, if not the final product, at least a closer approximation to it. The table of contents may show little change. But that is simply because the original organization of the material has been found satisfactory. Also the basic purpose of the book remains the same, and that is to make relativity come alive conceptually. I have always felt much sym­ pathy with Richard Courant's maxim (as reported and exemplified by Pascual Jordan) that, ideally, proofs should be reached by comprehension rather than computation. Where computations are necessary, I have tried to make them as transparent as possible, so as not to hinder the progress of comprehension. Among the more obvious changes, this edition contains a new section on Kruskal space, another on the plane gravitational wave, and a third on linearized general relativity; it also contains many new exercises, and two appendices: one listing the curvature components for the diagonal metric (in a little more generality than the old" Dingle formulas "), and one syn­ thesizing Maxwell's theory in tensor form. But the most significant changes and additions have occurred throughout the text. Many sections have been completely rewritten, many arguments tightened, many "asides" added, and, of course, recent developments taken into account.

Product Description: This is a second edition of this book intended for undergraduates taking an introductory course on special relativity which is mainly conceptually and mathematically oriented. A suitably prepared reader could also use it for self-study...read more

Product Description: This volume introduces and systematically develops the calculus of 2-spinors. This is the first detailed exposition of this technique which leads not only to a deeper understanding of the structure of space-time, but also provides shortcuts to some very tedious calculations...read more