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Classical Topology and Combinatorial Group Theory - Stillwell, John
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Stillwell, John:
Classical Topology and Combinatorial Group Theory - new book

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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Classical Topology and Combinatorial Group Theory - Stillwell, John
book is out-of-stock
(*)
Stillwell, John:
Classical Topology and Combinatorial Group Theory - new book

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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Classical Topology and Combinatorial Group Theory: 72 (Graduate Texts in Mathematics) - John Stillwell
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John Stillwell:
Classical Topology and Combinatorial Group Theory: 72 (Graduate Texts in Mathematics) - hardcover

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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Classical Topology and Combinatorial Group Theory: 72 (Graduate Texts in Mathematics) - John Stillwell
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John Stillwell:
Classical Topology and Combinatorial Group Theory: 72 (Graduate Texts in Mathematics) - hardcover

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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Classical Topology and Combinatorial Group Theory - John Stillwell
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John Stillwell:
Classical Topology and Combinatorial Group Theory - new book

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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Details of the book
Classical Topology and Combinatorial Group Theory
Author:

Stillwell, John

Title:

Classical Topology and Combinatorial Group Theory

ISBN:

This is a well-balanced introduction to topology that stresses geometric aspects. Focusing on historical background and visual interpretation of results, it emphasizes spaces with few dimensions, where visualization is possible, and interaction with combinatorial group theory via the fundamental group. It also present algorithms for topological problems. Most of the results and proofs are known, but some have been simplified or placed in a new perspective. Over 300 illustrations, many interesting exercises, and challenging open problems are included. New in this edition is a chapter on unsolvable problems, which includes the first textbook proof that the main problem of topology, the homeomorphism problem, is unsolvable.

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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