Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics)

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9780387902029: Lecture Notes on Elementary Topology and Geometry (Undergraduate Texts in Mathematics)
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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.

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1.

Thorpe, J. A./Singer, I. M.
Editorial: Springer, China (2009)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Soft cover Cantidad: 1
Edición internacional
Librería
Bonny. Lee
(Vancouver, BC, Canada)
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Descripción Springer, China, 2009. Soft cover. Estado de conservación: Brand New. 12mo - over 6¾ - 7¾" tall. International edition Brand New SOFT COVER standard delivery. Nº de ref. de la librería 001686

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2.

Singer, I. M.,Thorpe, J. A.
Editorial: Springer-Verlag GmbH, China (2009)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Soft cover Cantidad: 1
Librería
Bonny. Lee
(Vancouver, BC, Canada)
Valoración
[?]

Descripción Springer-Verlag GmbH, China, 2009. Soft cover. Estado de conservación: Brand New. 12mo - over 6¾ - 7¾" tall. International 4edition Brand New SOFT COVER standard delivery. Nº de ref. de la librería 001396

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3.

I. M. Singer, J.A. Thorpe
Editorial: Springer-Verlag New York Inc., United States (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Tapa dura Cantidad: 1
Librería
The Book Depository US
(London, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag New York Inc., United States, 1976. Hardback. Estado de conservación: New. Reprint 1976. ed.. 236 x 155 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería SPR9780387902029

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4.

Singer, I.M.; Thorpe, J.A.
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Cantidad: 10
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BWB
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Descripción Estado de conservación: New. This item is Print on Demand - Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería POD_9780387902029

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5.

I. M. Singer, J.A. Thorpe
Editorial: Springer-Verlag New York Inc., United States (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Tapa dura Cantidad: 1
Librería
The Book Depository
(London, Reino Unido)
Valoración
[?]

Descripción Springer-Verlag New York Inc., United States, 1976. Hardback. Estado de conservación: New. Reprint 1976. ed.. 236 x 155 mm. Language: English . Brand New Book. 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. Nº de ref. de la librería SPR9780387902029

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6.

Singer, I.M.; Thorpe, J.A.
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Cantidad: 5
Librería
BWB
(Valley Stream, NY, Estados Unidos de America)
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Descripción Estado de conservación: New. Depending on your location, this item may ship from the US or UK. Nº de ref. de la librería 97803879020290000000

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7.

Singer, I.M.; Thorpe, J.A.
Editorial: Springer (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Tapa dura Cantidad: 1
Librería
Irish Booksellers
(Rumford, ME, Estados Unidos de America)
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Descripción Springer, 1976. Hardcover. Estado de conservación: New. book. Nº de ref. de la librería 0387902023

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8.

I. M. Singer/ J. A. Thorpe
Editorial: Springer Verlag (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Tapa dura Cantidad: 2
Librería
Revaluation Books
(Exeter, Reino Unido)
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Descripción Springer Verlag, 1976. Hardcover. Estado de conservación: Brand New. 1st edition. 244 pages. 9.75x6.50x0.75 inches. In Stock. Nº de ref. de la librería __0387902023

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9.

I. M. Singer
Editorial: Springer-Verlag New York Inc. (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Cantidad: > 20
Impresión bajo demanda
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PBShop
(Wood Dale, IL, Estados Unidos de America)
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Descripción Springer-Verlag New York Inc., 1976. HRD. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería I1-9780387902029

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10.

I.M. SINGER
Editorial: Springer (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Tapa dura Cantidad: 1
Librería
Herb Tandree Philosophy Books
(Stroud, GLOS, Reino Unido)
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Descripción Springer, 1976. Hardback. Estado de conservación: NEW. 9780387902029 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0275104

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