Smooth Manifolds and Observables. (2020)

• Record Type: Book
• Further Information: Note: By Jet Nestruev.
• Other Names: Nestruev, Jet
• Contents: Foreword -- Preface -- 1. Introduction -- 2. Cutoff and Other Special Smooth Functions on R n -- 3. Algebras and Points -- 4. Smooth Manifolds (Algebraic Definition) -- 5. Charts and Atlases -- 6. Smooth Maps -- 7. Equivalence of Coordinate and Algebraic Definitions -- 8. Points, Spectra and Ghosts -- 9. The Differential Calculus as Part of Commutative Algebra -- 10. Symbols and the Hamiltonian Formalism -- 11. Smooth Bundles -- 12. Vector Bundles and Projective Modules -- 13. Localization -- 14. Differential 1-forms and Jets -- 15. Functors of the differential calculus and their representations -- 16. Cosymbols, Tensors, and Smoothness -- 17. Spencer Complexes and Differential Forms -- 18. The (co)chain complexes that come from the Spencer Sequence -- 19. Differential forms: classical and algebraic approach -- 20. Cohomology -- 21. Differential operators over graded algebras -- Afterword -- Appendix -- References -- Index.
• Edition: 2nd ed. 2020
• Publisher Details: Cham : Springer International Publishing Imprint: Springer
• Publication Date: 2020
• Extent: 1 online resource
• Subjects: 514.34; Manifolds (Mathematics); Algebra; Quantum computers
• Languages: English
• ISBNs: 9783030456504; 3030456501
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.