Manifold Theory
An Introduction for Mathematical Physicists
Published on 1. March 2002
Book
Paperback/Softback
424 pages
978-1-898563-84-6 (ISBN)
Description
This account of basic manifold theory and global analysis, based on senior undergraduate and post-graduate courses at Glasgow University for students and researchers in theoretical physics, has been proven over many years. The treatment is rigorous yet less condensed than in books written primarily for pure mathematicians. Prerequisites include knowledge of basic linear algebra and topology. Topology is included in two appendices because many courses on mathematics for physics students do not include this subject.
Reviews / Votes
This blend of local coordinate methods and intrinsic differential geometry enables workers to read and do calculations in relativity and high energy particle research. It provides foundations for study in gauge theory, differential geometry and differential topology., Mathematical ReviewsDr Martin's very readable differential geometry text for graduate students in physics could also be used for independent study., American Mathematical Monthly
Accessible and clear, students will appreciate the numerous examples., Zentralblatt fur Didaktik der Mathematik
More details
Edition
Revised edition
Language
English
Place of publication
United Kingdom
Publishing group
Elsevier Science & Technology
Target group
Professional and scholarly
Product notice
Paperback (trade)
Unsewn / adhesive bound
Dimensions
Height: 234 mm
Width: 160 mm
Thickness: 25 mm
Weight
699 gr
ISBN-13
978-1-898563-84-6 (9781898563846)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
03/2002
Woodhead Publishing
€74.95
Available for download
Person
Daniel Martin, Glasgow University, UK
Content
Vector spaces; Tensor algebra; Differential manifolds; Vector and tensor fields on a manifold; Exterior differential forms; Differentiation on a manifold; Pseudo-Riemannian and Riemannian manifolds; Symplectic manifolds; Lie groups; Integration on a manifold; Fibre bundles; Complex linear algebra and almost complex manifolds.