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Topology from the Differentiable Viewpoint

Milnor, John
Heftet / 1997 / Engelsk

Produktdetaljer

ISBN
9780691048338
Publisert
1997-12-14
Utgiver
Princeton University Press
Vekt
113 gr
Høyde
229 mm
Bredde
152 mm
Aldersnivå
P, U, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
80

Forfatter
Milnor, John

Topology from the Differentiable Viewpoint

Milnor, John
Heftet / 1997 / Engelsk
Milnor, John
Heftet / 1997 / Engelsk
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"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters"

"John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society"

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.
Les mer
Provides a clear introduction to one of the important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, this book goes on to examine tangent spaces, oriented manifolds, and vector fields. It discusses concepts such as homotopy, the index number of a map, and the Pontryagin construction.
Les mer
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
Les mer

Relaterte produkter

"John Milnor, Winner of the 2011 Abel Prize from the Norwegian Academy of Science and Letters"

"John Willard Milnor, Winner of the 2011 Leroy P. Steele Prize for Lifetime Achievement, American Mathematical Society"

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.
Les mer
Provides a clear introduction to one of the important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, this book goes on to examine tangent spaces, oriented manifolds, and vector fields. It discusses concepts such as homotopy, the index number of a map, and the Pontryagin construction.
Les mer
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
Les mer

Produktdetaljer

ISBN
9780691048338
Publisert
1997-12-14
Utgiver
Princeton University Press
Vekt
113 gr
Høyde
229 mm
Bredde
152 mm
Aldersnivå
P, U, 06, 05
Språk
Product language
Engelsk
Format
Product format
Heftet
Antall sider
80

Forfatter
Milnor, John

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