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Smooth Manifolds and Observables

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The textbook explores the interconnectedness of differential calculus, smooth manifolds, and commutative algebra, highlighting their unified nature despite differing origins. It emphasizes the mathematical formalization of observation in classical physics as a central theme. This unique approach offers valuable insights into the relationships between geometry, physics, and commutative algebra, making it accessible and engaging for a broad audience interested in these disciplines.

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Smooth Manifolds and Observables, Jet Nestruev

Sprache
Erscheinungsdatum
2020
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(Hardcover)
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Sprache
Englisch
Autor*innen
Jet Nestruev
Erscheinungsdatum
2020
Einband
Hardcover
Seitenzahl
452
ISBN13
9783030456498
Reihe
Bewertung
4,35 von 5 Sternen
Beschreibung
The textbook explores the interconnectedness of differential calculus, smooth manifolds, and commutative algebra, highlighting their unified nature despite differing origins. It emphasizes the mathematical formalization of observation in classical physics as a central theme. This unique approach offers valuable insights into the relationships between geometry, physics, and commutative algebra, making it accessible and engaging for a broad audience interested in these disciplines.