Manifold Theory

An Introduction for Mathematical Physicists

Häftad, Engelska, 2002

849 kr

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Beskrivning

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.

Produktinformation

Utgivningsdatum:2002-03-01
Mått:160 x 234 x 25 mm
Vikt:640 g
Format:Häftad
Språk:Engelska
Antal sidor:424
Förlag:Elsevier Science & Technology
ISBN:9781898563846

Utforska kategorier

Matematik inom Naturvetenskap och teknik

Mer om författaren

Daniel Martin, Glasgow University, UK

Recensioner i media

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 MonthlyAccessible and clear, students will appreciate the numerous examples., Zentralblatt fur Didaktik der Mathematik

Innehållsförteckning

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.