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The Four-Color Theorem History, Topological Foundations, and Idea of Proof
by Fritsch, Rudolf & Gerda Fritsch
- Used
- Very Good
- Hardcover
- Condition
- Very Good
- ISBN 10
- 0387984976
- ISBN 13
- 9780387984971
- Seller
-
Charlottesville, Virginia, United States
Payment Methods Accepted
About This Item
EB: Springer. Very Good. 1998. Hardcover. Hardcover. 8vo. Published by Springer, New York, 1998. Xvi, 260 pages. Second Printing. Bound in cloth boards with titles present to the spine and front board. Boards have light shelf-wear present to the extremities. No ownership marks present. Text is clean and free of marks. Binding tight and solid. "This elegant little book discusses a famous problem that helped to define the field now known as graph theory: what is the minimum number of colors required to print a map such that no two adjoining countries have the same color, no matter how convoluted their boundaries are. Many famous mathematicians have worked on the problem, but the proof eluded formulation until the 1970s, when it was finally cracked with a brute-force approach using a computer." "The Four-Color Theorem begins by discussing the history of the problem up to the new approach given in the 1990s (by Neil Robertson, Daniel Sanders, Paul Seymour, and Robin Thomas). The book then goes into the mathematics, with a detailed discussion of how to convert the originally topological problem into a combinatorial one that is both elementary enough that anyone with a basic knowledge of geometry can follow it and also rigorous enough that a mathematician can read it with satisfaction. The authors discuss the mathematics and point to the philosophical debate that ensued when the proof was announced: just what is a mathematical proof, if it takes a computer to provide one - and is such a thing a proof at all?"; 9.5 X 6.4 X 0.7 inches; 260 pages .
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Details
- Bookseller
- Last Exit Books (US)
- Bookseller's Inventory #
- 68915
- Title
- The Four-Color Theorem History, Topological Foundations, and Idea of Proof
- Author
- Fritsch, Rudolf & Gerda Fritsch
- Format/Binding
- Hardcover
- Book Condition
- Used - Very Good
- ISBN 10
- 0387984976
- ISBN 13
- 9780387984971
- Publisher
- Springer
- Place of Publication
- EB
- Date Published
- 1998
Terms of Sale
Last Exit Books
All sales considered final. All items described to the best of my ability. Returns considered if sent back within 10 days of reciept with an email explanation sent to me first or if the item fails to match description. Refunds processed upon the reciept of the book.
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About the Seller
Last Exit Books
Biblio member since 2005
Charlottesville, Virginia
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Glossary
Some terminology that may be used in this description includes:
- New
- A new book is a book previously not circulated to a buyer. Although a new book is typically free of any faults or defects, "new"...
- Tight
- Used to mean that the binding of a book has not been overly loosened by frequent use.
- Spine
- The outer portion of a book which covers the actual binding. The spine usually faces outward when a book is placed on a shelf....
- Cracked
- In reference to a hinge or a book's binding, means that the glue which holds the opposing leaves has allowed them to separate,...
- Cloth
- "Cloth-bound" generally refers to a hardcover book with cloth covering the outside of the book covers. The cloth is stretched...