TY  - GEN
AU  - Milnor,John W
TI  - Topology from the differentiable viewpoint
T2  - Princeton Landmarks in Mathematics
SN  - 9780691048339
U1  - 514.72 23rd
PY  - 1997///
CY  - Princeton
PB  - Princeton University Press
KW  - Mathematics
KW  - Differentiable Topology
N1  - The content of the book is based on notes by David W Weaver; Includes bibliography and index; Preface -- Smooth manifolds and smooth maps -- The theorem of Sard and Brown -- Proof of Sard's theorem -- The degree modulo 2 of a mapping -- Oriented manifolds -- Vector fields and the Euler number -- Framed cobordism: the Pontryagin construction -- Exercises
N2  - This elegant book by distinguished mathematician John Milnor, provides a clear and succinct introduction to one of the most important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, he goes on to examine tangent spaces, oriented manifolds, and vector fields. Key concepts such as homotopy, the index number of a map, and the Pontryagin construction are discussed. The author presents proofs of Sard’s theorem and the Hopf theorem
ER  -