Nestruev Smooth Manifolds and Observables
Erscheinungsjahr 2006
ISBN: 978-0-387-22739-9
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 222 Seiten, Web PDF
Reihe: Mathematics and Statistics (R0)
ISBN: 978-0-387-22739-9
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
This book is a self-contained introduction to fiber spaces and differential operators on smooth manifolds that is accessible to graduate students specializing in mathematics and physics. The authors offer an algebraic approach which is based on the fundamential notion of "observable" used by physicists, and which will further the understanding of the mathematics underlying quantum field theory. The prerequisites for this book are a standard advanced calculus course as well as courses in linear algebra and algebraic structures.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
Cutoff and Other Special Smooth Functions on ?n.- Algebras and Points.- Smooth Manifolds (Algebraic Definition).- Charts and Atlases.- Smooth Maps.- Equivalence of Coordinate and Algebraic Definitions.- Spectra and Ghosts.- The Differential Calculus as a Part of Commutative Algebra.- Smooth Bundles.- Vector Bundles and Projective Modules.
