.

0 (hodnocen0 x )

BK

Revised ed.

New Jersey : Princeton University Press, 1997

ix, 64 s. : il. ; 23 cm

ISBN 978-0-691-04833-8 (dotisk. ; brož.)

ISBN 0-691-04833-9

Princeton landmarks in mathematics and physics

Obsahuje bibliografii na s. [59]-61 a rejstřík

000235832

Preface // Smooth manifolds and smooth maps // Tangent spaces and derivatives // Regular values // The fundamental theorem of algebra // The theorem of Sard and Brown // Manifolds with boundary // The Brouwer fixed point theorem // Proof of Sard’s theorem // The degree modulo 2 of a mapping // Smooth homotopy and smooth isotopy // Oriented manifolds // The Brouwer degree // Vector fields and the Euler number // Framed cobordism; the Pontryagin construction // The Hopf theorem // Exercises // Appendix: Classifying 1-manifolds // Bibliography // Index