M. Hirsch, Differential Topology

E285920

*Differential Topology* by M. Hirsch is a classic graduate-level textbook that systematically develops the foundations of differential topology and is widely regarded as a standard reference in the field.

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Predicate Object
instanceOf graduate-level textbook
mathematics textbook
reference work
abbreviation GTM 33
audience graduate students in mathematics
research mathematicians
author Morris Hirsch
surface form: M. Hirsch

Morris Hirsch
surface form: Morris W. Hirsch
field differential geometry
differential topology
topology
language English
level advanced
prerequisite advanced calculus
basic differential geometry
point-set topology
publisher Springer
reputation classic text in differential topology
standard reference in differential topology
series Graduate Texts in Mathematics
topic Morse functions
Sard's theorem
Thom transversality theorem
Whitney approximation theorem
Whitney embedding theorem
cobordism
degree theory
embedding theorems
flows
handle decompositions
homotopy
immersion theorems
implicit function theorem
intersection theory
isotopy
manifolds with boundary
orientation of manifolds
regular values
smooth manifolds
smooth maps
submanifolds
submersions
tangent bundles
transversality
vector bundles
vector fields

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Whitney approximation theorem standardReference M. Hirsch, Differential Topology