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Nestruev

Smooth Manifolds and Observables

Medium: Buch
ISBN: 978-1-4419-3047-7
Verlag: SPRINGER NATURE
Erscheinungstermin: 31.12.2010
Lieferfrist: bis zu 10 Tage

This book gives an introduction to fiber spaces and differential operators on smooth manifolds. Over the last 20 years, the authors developed an algebraic approach to the subject and they explain in this book why differential calculus on manifolds can be considered as an aspect of commutative algebra. This new approach is based on the fundamental notion of observable which is used by physicists and will further the understanding of the mathematics underlying quantum field theory.


Produkteigenschaften


  • Artikelnummer: 9781441930477
  • Medium: Buch
  • ISBN: 978-1-4419-3047-7
  • Verlag: SPRINGER NATURE
  • Erscheinungstermin: 31.12.2010
  • Sprache(n): Englisch
  • Auflage: 1. Auflage. Softcover version of original hardcover Auflage 2003
  • Serie: Graduate Texts in Mathematics
  • Produktform: Kartoniert, Previously published in hardcover
  • Gewicht: 376 g
  • Seiten: 222
  • Format (B x H x T): 155 x 235 x 13 mm
  • Ausgabetyp: Kein, Unbekannt
  • Nachauflage: 978-3-030-45649-8
Autoren/Hrsg.

Autoren

* Preface to English Edition * Preface * Introduction * Cutoff and Other Special Smooth Functions on R^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 * Afterword * Appendix * References * Index