Smooth Manifolds and Observables

• Main Author: Nestruev, Jet (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: New York, NY : Springer New York, 2003.
• Series: Graduate Texts in Mathematics, 220
• Subjects: Mathematics.; Algebra.; Manifolds (Mathematics).; Complex manifolds.; Quantum physics.; Quantum computers.; Spintronics.; Manifolds and Cell Complexes (incl. Diff.Topology).; Quantum Physics.; Quantum Information Technology, Spintronics.

Table of Contents:

• 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.