Smooth Manifolds and Observables

Jet Nestruev (Autor)

Buch | Softcover

222 Seiten

2010 | Softcover reprint of the original 1st ed. 2003
Springer-Verlag New York Inc.
978-1-4419-3047-7 (ISBN)

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Smooth Manifolds and Observables

Jet Nestruev

2020, 2. Auflage

Buch | Hardcover

CHF 97, ³⁵

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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.

* 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

Erscheint lt. Verlag	3.12.2010
Reihe/Serie	Graduate Texts in Mathematics ; 220
Zusatzinfo	XIV, 222 p.
Verlagsort	New York, NY
Sprache	englisch
Maße	155 x 235 mm
Gewicht	760 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
	Naturwissenschaften ► Physik / Astronomie ► Quantenphysik
ISBN-10	1-4419-3047-7 / 1441930477
ISBN-13	978-1-4419-3047-7 / 9781441930477
Zustand	Neuware