J. Lee, Introduction to Smooth Manifolds

E285992

graduate-level textbook mathematics book textbook

*J. Lee, Introduction to Smooth Manifolds* is a widely used graduate-level textbook that provides a rigorous and accessible introduction to the theory of smooth manifolds and differential topology.

Try in SPARQL Jump to: Surface forms Statements Referenced by

All labels observed (2)

Label	Occurrences
J. Lee, Introduction to Smooth Manifolds canonical	1
John M. Lee, Introduction to Topological Manifolds	1

Statements (46)

Predicate	Object
instanceOf	graduate-level textbook ⓘ mathematics book ⓘ textbook ⓘ
abbreviation	GTM 218 ⓘ
audience	advanced undergraduates in mathematics ⓘ graduate students in mathematics ⓘ
author	John M. Lee ⓘ
category	differential geometry textbooks ⓘ graduate texts in mathematics ⓘ
contains	examples ⓘ exercises ⓘ proofs ⓘ
field	differential geometry ⓘ differential topology ⓘ smooth manifolds ⓘ
language	English ⓘ
level	graduate ⓘ
prerequisite	advanced calculus ⓘ basic topology ⓘ linear algebra ⓘ
publisher	Springer ⓘ
relatedWork	J. Lee, Introduction to Smooth Manifolds self-linksurface differs ⓘ surface form: John M. Lee, Introduction to Topological Manifolds John M. Lee, Riemannian Manifolds: An Introduction to Curvature ⓘ
series	Graduate Texts in Mathematics ⓘ
style	accessible ⓘ rigorous ⓘ
subject	mathematics ⓘ
topic	Lie algebras ⓘ Lie groups ⓘ Riemannian metrics ⓘ Sard's theorem ⓘ de Rham cohomology ⓘ degree theory ⓘ differential forms ⓘ flows of vector fields ⓘ integration on manifolds ⓘ orientation of manifolds ⓘ quotient manifolds ⓘ smooth manifolds ⓘ submanifolds ⓘ tangent spaces ⓘ tensor fields ⓘ transversality ⓘ vector bundles ⓘ vector fields ⓘ
usedAs	standard reference in differential geometry courses ⓘ

Referenced by (2)

Full triples — surface form annotated when it differs from this entity's canonical label.

Whitney approximation theorem → standardReference → J. Lee, Introduction to Smooth Manifolds ⓘ

J. Lee, Introduction to Smooth Manifolds → relatedWork → J. Lee, Introduction to Smooth Manifolds self-linksurface differs ⓘ

this entity surface form: John M. Lee, Introduction to Topological Manifolds