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Explorations in topology : map coloring, surfaces and knots /

Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will h...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Gay, David A. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: London : Elsevier, 2014.
Edición:Second edition.
Colección:Elsevier insights.
Temas:
Acceso en línea:Texto completo

MARC

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100 1 |a Gay, David A.,  |e author. 
245 1 0 |a Explorations in topology :  |b map coloring, surfaces and knots /  |c David A. Gay. 
250 |a Second edition. 
264 1 |a London :  |b Elsevier,  |c 2014. 
300 |a 1 online resource (315 pages) 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Elsevier insights 
588 0 |a Print version record. 
520 |a Explorations in Topology, Second Edition, provides students a rich experience with low-dimensional topology (map coloring, surfaces, and knots), enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that will help them make sense of future, more formal topology courses. The book's innovative story-line style models the problem-solving process, presents the development of concepts in a natural way, and engages students in meaningful encounters with the material. The updated end-of-chapter investigations provide opportunities to work on many open-ended, non-routine problems and, through a modified "Moore method," to make conjectures from which theorems emerge. The revised end-of-chapter notes provide historical background to the chapter's ideas, introduce standard terminology, and make connections with mainstream mathematics. The final chapter of projects provides ideas for continued research. Explorations in Topology, Second Edition, enhances upper division courses and is a valuable reference for all levels of students and researchers working in topology. Students begin to solve substantial problems from the startIdeas unfold through the context of a storyline, and students become actively involved. The text models the problem-solving process, presents the development of concepts in a natural way, and helps the reader engage with the material 
504 |a Includes bibliographical references. 
505 0 |a 1. Acme does maps and considers coloring them -- 2. Tours -- 3. Maps data -- 4. Map data and map coloring -- 5. How to color a map with four colors -- 6. Doughnuts -- 7. The Mobius strip -- 8. New worlds : Klein bottles and other surfaces -- 9. Surface sums and Euler numbers -- 10. Classification of surfaces -- 11. Classification (Part II), existence and four-space -- 12. Coloring maps on surfaces -- 13. Knots -- 14. Projects. 
650 0 |a Topology. 
650 0 |a Knot theory. 
650 6 |a Topologie.  |0 (CaQQLa)201-0001193 
650 6 |a Th�eorie des n�uds.  |0 (CaQQLa)201-0250459 
650 7 |a Knot theory  |2 fast  |0 (OCoLC)fst00988171 
650 7 |a Topology  |2 fast  |0 (OCoLC)fst01152692 
776 0 8 |i Print version:  |z 9781306189279 
830 0 |a Elsevier insights. 
856 4 0 |u https://sciencedirect.uam.elogim.com/science/book/9780124166486  |z Texto completo