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eBook Explorations in Topology: Map Coloring, Surfaces and Knots ePub

by David Gay

eBook Explorations in Topology: Map Coloring, Surfaces and Knots ePub
Author: David Gay
Language: English
ISBN: 0123708583
ISBN13: 978-0123708588
Publisher: Academic Press; 1 edition (November 29, 2006)
Pages: 352
Category: Mathematics
Subcategory: Science
Rating: 4.6
Votes: 977
Formats: mobi docx txt lrf
ePub file: 1110 kb
Fb2 file: 1635 kb

David Gay. This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future.

David Gay. This book gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course. The innovative story-line style of the text models the problems-solving process, presents the development of concepts in a natural way, and through its informality seduces the reader into engagement with the material.

by. David Gay (Author). Find all the books, read about the author, and more. Are you an author? Learn about Author Central. ISBN-13: 978-0123708588.

Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future.

Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course.

Students begin to solve substantial problems from the start. Ideas 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.

Explorations in Topology book. Goodreads helps you keep track of books you want to read. Start by marking Explorations in Topology: Map Coloring, Surfaces and Knots as Want to Read: Want to Read saving. Start by marking Explorations in Topology: Map Coloring, Surfaces and Knots as Want to Read: Want to Read savin. ant to Read.

Explorations in Topology: Map Coloring, Surfaces and Knots. Students begin to solve substantial problems from the start Ideas 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. Read on the Scribd mobile app. Download the free Scribd mobile app to read anytime, anywhere.

Print Book & E-Book. III Surfaces and Maps. ISBN 9780124166486, 9780124166400. Authors: David Gay. Hardcover ISBN: 9780124166486. eBook ISBN: 9780124166400.

David A. Gay. Publisher . From here it is natural to talk about maps and graphs on surfaces other than the plane, so chapters 6–8 introduce the torus, Moebius strip, Klein bottle, an. . Publisher: Elsevier. The first five talk about map-coloring and graphs: the question of coloring a map is presented, and it is soon seen that this problem can be converted to one involving graphs, which are themselves introduced via the famous Bridges of Königsberg problem. From here it is natural to talk about maps and graphs on surfaces other than the plane, so chapters 6–8 introduce the torus, Moebius strip, Klein bottle, and projective plane (called here a cross-cap ). It is shown in these chapters that surfaces can be created by patterns (. a more intuitive name for quotient spaces). New. This button opens a dialog that displays additional images for this product with the option to zoom in or ou. This button opens a dialog that displays additional images for this product with the option to zoom in or out. Tell us if something is incorrect. Explorations in Topology : Map Coloring, Surfaces and Knots.

Read "Explorations in Topology Map Coloring, Surfaces and Knots" by David . Map Coloring, Surfaces and Knots.

Map Coloring, Surfaces and Knots. 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.

Explorations in Topology gives students a rich experience with low-dimensional topology, enhances their geometrical and topological intuition, empowers them with new approaches to solving problems, and provides them with experiences that would help them make sense of a future, more formal topology course.

The innovative story-line style of the text models the problems-solving process, presents the development of concepts in a natural way, and through its informality seduces the reader into engagement with the material. The end-of-chapter Investigations give the reader opportunities to work on a variety of open-ended, non-routine problems, and, through a modified "Moore method", to make conjectures from which theorems emerge. The students themselves emerge from these experiences owning concepts and results. The 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 opportunities for continued involvement in "research" beyond the topics of the book.

* Students begin to solve substantial problems right from the start* Ideas 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
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