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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 their distinct historical origins. It emphasizes the mathematical formalization of observation in classical physics, offering valuable insights into the relationships between geometry, physics, and algebra. This unique perspective is designed to engage a broad audience, making complex concepts more accessible and revealing the deeper connections among these mathematical fields.

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Smooth Manifolds and Observables, Jet Nestruev

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Erscheinungsdatum
2021
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Sprache
Englisch
Autor*innen
Jet Nestruev
Erscheinungsdatum
2021
Einband
Paperback
Seitenzahl
452
ISBN13
9783030456528
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 their distinct historical origins. It emphasizes the mathematical formalization of observation in classical physics, offering valuable insights into the relationships between geometry, physics, and algebra. This unique perspective is designed to engage a broad audience, making complex concepts more accessible and revealing the deeper connections among these mathematical fields.