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Introduction to Smooth Manifolds

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Focusing on the theory of smooth manifolds, this graduate-level textbook aims to equip students with essential tools for mathematical and scientific applications. Key topics include smooth structures, tangent vectors, vector bundles, and differential forms, among others. The book emphasizes a concrete approach, incorporating visual aids and intuitive discussions to enhance geometric understanding of abstract concepts, while leveraging modern mathematical techniques.

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Introduction to Smooth Manifolds, John Lee

Lingua
Pubblicato
2014
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4,6
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Titolo
Introduction to Smooth Manifolds
Lingua
Inglese
Autori
John Lee
Pubblicato
2014
Formato
In brossura
Pagine
724
ISBN13
9781489994752
Serie
Valutazione
4,6 su 5
Descrizione
Focusing on the theory of smooth manifolds, this graduate-level textbook aims to equip students with essential tools for mathematical and scientific applications. Key topics include smooth structures, tangent vectors, vector bundles, and differential forms, among others. The book emphasizes a concrete approach, incorporating visual aids and intuitive discussions to enhance geometric understanding of abstract concepts, while leveraging modern mathematical techniques.