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ISBN: 9780387979700

ID: 177770811

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler´s polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment ´´undergraduate topology´´ proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the historical development where practicable, since it clearly shows the influence of geometric thought at all stages. This is not to claim that topology received its main impetus from geometric recreations like the seven bridges; rather, it resulted from the l´isualization of problems from other parts of mathematics-complex analysis (Riemann), mechanics (Poincare), and group theory (Dehn). It is these connec tions to other parts of mathematics which make topology an important as well as a beautiful subject. In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler´s polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment ´´undergraduate topology´´ proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological Buch > Mathematik, Naturwissenschaft & Technik > Mathematik > Arithmetik & Algebra, Springer / Springer New York

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ISBN: 9780387979700

ID: 1309beaa4ba97c20a9e5d7320e6d259f

In recent years, many students have been introduced to topology in high school mathematics. Having met the Mobius band, the seven bridges of Konigsberg, Euler's polyhedron formula, and knots, the student is led to expect that these picturesque ideas will come to full flower in university topology courses. What a disappointment "undergraduate topology" proves to be! In most institutions it is either a service course for analysts, on abstract spaces, or else an introduction to homological algebra in which the only geometric activity is the completion of commutative diagrams. Pictures are kept to a minimum, and at the end the student still does nr~ understand the simplest topological facts, such as the rcason why knots exist. In my opinion, a well-balanced introduction to topology should stress its intuitive geometric aspect, while admitting the legitimate interest that analysts and algebraists have in the subject. At any rate, this is the aim of the present book. In support of this view, I have followed the his, [PU: Springer]

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ISBN: 0387979700

[SR: 353350], Hardcover, [EAN: 9780387979700], Springer, Springer, Book, [PU: Springer], 1995-08-04, Springer, In recent years, many students have been introduced to topology in high school mathematics. Having m...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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ISBN: 0387979700

[SR: 353350], Hardcover, [EAN: 9780387979700], Springer, Springer, Book, [PU: Springer], 1995-08-04, Springer, In recent years, many students have been introduced to topology in high school mathematics. Having m...., 278321, Algebra, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 570936, Geometry, 564352, Mathematics, 564334, Scientific, Technical & Medical, 1025612, Subjects, 266239, Books

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ISBN: 9780387979700

ID: 9780387979700

Mathematics; Topology; Topological Groups, Lie Groups Abelian group, Group, Group theory, Gruppe (Math.), Kombinatorik, Topologie, Topology Books Book, Springer Science+Business Media

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This introduction to topology stresses geometric aspects, focusing on historical background and visual interpretation of results. The 2nd edition offers 300 illustrations, numerous exercises, challenging open problems and a new chapter on unsolvable probl Shipping costs:zzgl. Versandkosten, plus shipping costs
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Title: | ## Classical Topology and Combinatorial Group Theory |

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** Details of the book - Classical Topology and Combinatorial Group Theory**

EAN (ISBN-13): 9780387979700

ISBN (ISBN-10): 0387979700

Hardcover

Publishing year: 2007

Publisher: Springer-Verlag GmbH

334 Pages

Weight: 0,689 kg

Language: eng/Englisch

Book in our database since 31.05.2007 15:44:50

Book found last time on 29.06.2017 01:22:01

ISBN/EAN: 9780387979700

ISBN - alternate spelling:

0-387-97970-0, 978-0-387-97970-0

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