Lecture Notes on Elementary Topology and Geometry

J. A. Thorpe

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Lingua: inglese

Editore: Springer New York Jul 2012, 2012

1461573491 / 9781461573494

Serie: Libro 151 di 170 - Undergraduate Texts in Mathematics

Da: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, GermaniaBuchWeltWeit Ludwig Meier e.K.

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Venditore AbeBooks dal 11 gennaio 2012

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This item is printed on demand - it takes 3-4 days longer - Neuware -At the present time, the average undergraduate mathematics major finds mathematics heavily compartmentalized. After the calculus, he takes a course in analysis and a course in algebra. Depending upon his interests (or those of his department), he takes courses in special topics. Ifhe is exposed to topology, it is usually straightforward point set topology; if he is exposed to geom etry, it is usually classical differential geometry. The exciting revelations that there is some unity in mathematics, that fields overlap, that techniques of one field have applications in another, are denied the undergraduate. He must wait until he is well into graduate work to see interconnections, presumably because earlier he doesn't know enough. These notes are an attempt to break up this compartmentalization, at least in topology-geometry. What the student has learned in algebra and advanced calculus are used to prove some fairly deep results relating geometry, topol ogy, and group theory. (De Rham's theorem, the Gauss-Bonnet theorem for surfaces, the functorial relation of fundamental group to covering space, and surfaces of constant curvature as homogeneous spaces are the most note worthy examples.) In the first two chapters the bare essentials of elementary point set topology are set forth with some hint ofthe subject's application to functional analysis. 244 pp. Englisch.…

Codice articolo 9781461573494

Titolo
Lecture Notes on Elementary Topology and Geometry
Autore
J. A. Thorpe
Editore
Springer New York Jul 2012
Anno di pubblicazione
2012
Condizione
Neu
Rilegatura
Taschenbuch
Lingua
inglese
ISBN 10
1461573491
ISBN 13
9781461573494
Peso dell'articolo
376 grammi
Dimensioni
235x155x14 mm
Serie
Libro 151 di 170: Undergraduate Texts in Mathematics

BuchWeltWeit Ludwig Meier e.K.

Bergisch Gladbach, Germania

Venditore con 5 stelle

Venditore AbeBooks dal 11 gennaio 2012

Tariffe di spedizione da Germania a U.S.A.

ArticoloDa 5 a 15 giorni lavorativiDa 5 a 15 giorni lavorativi
Primo articoloEUR 23,00EUR 23,00
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BuchWeltWeit Ludwig Meier e.K.

Germania