Topology: Point-Set and Geometric

Paul L. Shick

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The essentials of point-set topology, complete with motivation and numerous examples

Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors.

Along with the standard point-set topology topics—connected and path-connected spaces, compact spaces, separation axioms, and metric spaces—Topology covers the construction of spaces from other spaces, including products and quotient spaces. This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which "capstone" best suits his or her students.

Topology: Point-Set and Geometric features:

• A short introduction in each chapter designed to motivate the ideas and place them into an appropriate context
• Sections with exercise sets ranging in difficulty from easy to fairly challenging
• Exercises that are very creative in their approaches and work well in a classroom setting
• A supplemental Web site that contains complete and colorful illustrations of certain objects, several learning modules illustrating complicated topics, and animations of particularly complex proofs

Le informazioni nella sezione "Riassunto" possono far riferimento a edizioni diverse di questo titolo.

PAUL L. SHICK, PhD, is Professor in the Department of Mathematics and Computer Science at John Carroll University in Cleveland, Ohio. He earned a PhD in Mathematics from Northwestern University in 1984, working in the area of stable homotopy theory. He remains active in research in algebraic topology.

Review:

"Ideally suited for an introductory course in topology at the junior/senior level." (CHOICE, September 2007)

Le informazioni nella sezione "Su questo libro" possono far riferimento a edizioni diverse di questo titolo.

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1.Topology: Point-Set and Geometric (Hardback)

Editore: John Wiley and Sons Ltd, United States (2007)
ISBN 10: 0470096055 ISBN 13: 9780470096055
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Descrizione libro John Wiley and Sons Ltd, United States, 2007. Hardback. Condizione libro: New. New.. Language: English . Brand New Book. The essentials of point-set topology, complete with motivation and numerous examples Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors. Along with the standard point-set topology topics-connected and path-connected spaces, compact spaces, separation axioms, and metric spaces-Topology covers the construction of spaces from other spaces, including products and quotient spaces. This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which capstone best suits his or her students.Topology: Point-Set and Geometric features:* A short introduction in each chapter designed to motivate the ideas and place them into an appropriate context* Sections with exercise sets ranging in difficulty from easy to fairly challenging* Exercises that are very creative in their approaches and work well in a classroom setting* A supplemental Web site that contains complete and colorful illustrations of certain objects, several learning modules illustrating complicated topics, and animations of particularly complex proofs. Codice libro della libreria AAH9780470096055

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2.Topology: Point-Set and Geometric

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ISBN 10: 0470096055 ISBN 13: 9780470096055
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Descrizione libro Wileyand#8211;Blackwell, 2007. HRD. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria FW-9780470096055

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3.Topology: Point-Set and Geometric (Hardback)

Editore: John Wiley and Sons Ltd, United States (2007)
ISBN 10: 0470096055 ISBN 13: 9780470096055
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Descrizione libro John Wiley and Sons Ltd, United States, 2007. Hardback. Condizione libro: New. New.. Language: English . Brand New Book. The essentials of point-set topology, complete with motivation and numerous examples Topology: Point-Set and Geometric presents an introduction to topology that begins with the axiomatic definition of a topology on a set, rather than starting with metric spaces or the topology of subsets of Rn. This approach includes many more examples, allowing students to develop more sophisticated intuition and enabling them to learn how to write precise proofs in a brand-new context, which is an invaluable experience for math majors. Along with the standard point-set topology topics-connected and path-connected spaces, compact spaces, separation axioms, and metric spaces-Topology covers the construction of spaces from other spaces, including products and quotient spaces. This innovative text culminates with topics from geometric and algebraic topology (the Classification Theorem for Surfaces and the fundamental group), which provide instructors with the opportunity to choose which capstone best suits his or her students. Topology: Point-Set and Geometric features:* A short introduction in each chapter designed to motivate the ideas and place them into an appropriate context* Sections with exercise sets ranging in difficulty from easy to fairly challenging* Exercises that are very creative in their approaches and work well in a classroom setting* A supplemental Web site that contains complete and colorful illustrations of certain objects, several learning modules illustrating complicated topics, and animations of particularly complex proofs. Codice libro della libreria AAH9780470096055

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4.Topology

Editore: Wiley 2007-03-02, Hoboken, N.J. :|Chichester (2007)
ISBN 10: 0470096055 ISBN 13: 9780470096055
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Descrizione libro Wiley 2007-03-02, Hoboken, N.J. :|Chichester, 2007. hardback. Condizione libro: New. Codice libro della libreria 9780470096055

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Descrizione libro Wileyand#8211;Blackwell, 2007. HRD. Condizione libro: New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. Codice libro della libreria IP-9780470096055

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7.Topology: Point-Set and Geometric (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)

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8.Topology

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Descrizione libro John Wiley & Sons. Hardcover. Condizione libro: New. New copy - Usually dispatched within 2 working days. Codice libro della libreria B9780470096055

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10.Topology: Point-Set and Geometric

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ISBN 10: 0470096055 ISBN 13: 9780470096055
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Descrizione libro Wiley-Interscience, 2007. Hardcover. Condizione libro: New. Codice libro della libreria INGM9780470096055

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