Manifold Theory

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.

"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 Reviews

"Dr 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