Geometrical Methods of Mathematical Physics

ISBN-13: 9780521298872 / Angielski / Miękka / 1980 / 264 str.

Bernard F Schutz

Opis

The methods of modern differential geometry have become important in theoretical physics and have applications in relativity, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods and covers their applications to theoretical physics.

Recenzje

'Although there are a welter of books where similar material can be found, this book is the most lucid I have come across at this level of exposition. It is eminently suitable for a graduate course (indeed, the more academically able undergraduate should be about to cope with most of it), and the applications should suffice to persuade any physicist or applied mathematician of its importance … Schutz's book is a triumph …' The Times Higher Education Supplement

Spis treści

Preface; 1. Some basic mathematics; 2. Differentiable manifolds and tensors; 3. Lie derivatives and Lie groups; 4. Differential forms; 5. Applications in physics; 6. Connections for Riemannian manifolds and gauge theories; Appendix; Notation; Index.