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)

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
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Bonny. Lee
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Descripción Springer, China, 2009. Soft cover. Estado de conservación: Brand New. 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
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Bonny. Lee
(Vancouver, BC, Canada)
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Descripción Springer-Verlag GmbH, China, 2009. Soft cover. Estado de conservación: Brand New. 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
ISBN 10: 0387902023 ISBN 13: 9780387902029
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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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4.

I. M. Singer, J.A. Thorpe
Editorial: Springer-Verlag New York Inc., United States (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
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The Book Depository US
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Descripción Springer-Verlag New York Inc., United States, 1976. Hardback. Estado de conservación: New. Reprint 1976. ed.. 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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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.. 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.

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: 10
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Book Depository hard to find
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Descripción Springer-Verlag New York Inc., United States, 1976. Hardback. Estado de conservación: New. Reprint 1976. ed.. Language: English . This book usually ship within 10-15 business days and we will endeavor to dispatch orders quicker than this where possible. 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 LIE9780387902029

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7.

I. M. Singer
Editorial: Springer-Verlag New York Inc. (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
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Pbshop
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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 IP-9780387902029

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8.

I.M. Singer; J.A. Thorpe
Editorial: Springer (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
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Descripción Springer, 1976. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780387902029

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9.

I. M. Singer/ J. A. Thorpe
Editorial: Springer Verlag (1976)
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Tapa dura Cantidad: 2
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Revaluation Books
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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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10.

I.M. Singer; J.A. Thorpe
ISBN 10: 0387902023 ISBN 13: 9780387902029
Nuevos Cantidad: 1
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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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