AHA-BUCH

Smooth Manifolds and Observables
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Smooth Manifolds and Observables

 Previously published in hardcover
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ISBN-13:
9781441930477
Einband:
Previously published in hardcover
Erscheinungsdatum:
03.12.2010
Seiten:
244
Autor:
Jet Nestruev
Gewicht:
374 g
Format:
235x155x13 mm
Sprache:
Englisch
Beschreibung:

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
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.