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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

Taal
Jaar van publicatie
2021
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(Paperback)
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Taal
Engels
Jaar van publicatie
2021
Formaat
Paperback
Aantal pagina's
452
ISBN13
9783030456528
Reeks
Beoordeling
4,35 van 5
Aantekening
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.