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Winding around :

Roe, John,

Winding around : the winding number in topology, geometry, and analysis John Roe. - Indian Edition - Providence American Mathematical Society Universities Press ?(India) Pvt. Ltd. 2015 - xiii, 269 pages : illustrations ; - Student mathematical library ; .

"Mathematics advanced study semesters."

9781470438463


Mathematical analysis
Associative law (Mathematics)
Symmetric functions.
Commutative law (Mathematics)
Algebraic topology -- Classical topics -- Degree, winding number.
Manifolds and cell complexes -- Low-dimensional topology -- Fundamental group, presentations, free differential calculus.
Operator theory -- General theory of linear operators -- (Semi-) Fredholm operators; index theories.
Global analysis, analysis on manifolds -- General theory of differentiable manifolds -- Differential forms.
Algebraic topology -- Homology and cohomology theories -- $K$-theory.

515 / ROE/W