Ebook: The Geometry of Physics: An Introduction

Книга The Geometry of Physics: An Introduction The Geometry of Physics: An IntroductionКниги English литература Автор: Theodore Frankel Год издания: 1999 Формат: pdf Издат.:Cambridge University Press Страниц: 678 Размер: 52,3 ISBN: 0521387531 Язык: Английский0 (голосов: 0) Оценка:Review' ... extremely helpful for students in physics and engineering ... recommended to a wide audience ...' European Mathematical Society'The layout, the typography and the illustrations of this advanced textbook on modern mathematical methods are all very impressive and so are the topics covered in the text.' Zentralblatt für Mathematik und ihre Grenzgebiete Product DescriptionThis book is intended to provide a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism, thermodynamics, the deformation tensors of elasticity, soap films, special and general relativity, the Dirac operator and spinors, and gauge fields, including Yang-Mills, the Aharonov-Bohm effect, Berry phase, and instanton winding numbers. Before discussing abstract notions of differential geometry, geometric intuition is developed through a rather extensive introduction to the study of surfaces in ordinary space; consequently, the book should also be of interest to mathematics students. This book will be useful to graduate and advanced undergraduate students of physics, engineering and mathematics. It can be used as a course text or for self study.