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Topology from the Differentiable Viewpoint.
American Mathematical Monthly · 1967 · Vol. 74(4) · pp. 461–461
Abstract
Preface1Smooth manifolds and smooth maps1Tangent spaces and derivatives2Regular values7The fundamental theorem of algebra82The theorem of Sard and Brown10Manifolds with boundary12The Brouwer fixed point theorem133Proof of Sard's theorem164The degree modulo 2 of a mapping20Smooth homotopy and smooth isotopy205Oriented manifolds26The Brouwer degree276Vector fields and the Euler number327Framed cobordism the Pontryagin construction42The Hopf theorem508Exercises52AppClassifying 1-manifolds55Bibliography59Index63
Homotopy and Cohomology in Algebraic TopologyAdvanced Topics in AlgebraMathematical and Theoretical AnalysisDifferentiable functionTopology (electrical circuits)Computer scienceMathematicsPure mathematicsCombinatorics
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References
Lectures on Differential Geometry.
American Mathematical Monthly · 1966 · 1,200 citations
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