Four Colors Suffice: How the Map Problem Was Solved
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Four Colors Suffice : How the Map Problem Was Solved (2003)
~EN HC USISBN: 9780691115337 bzw. 0691115338, vermutlich in Englisch, Princeton University Press, gebundenes Buch, gebraucht, guter Zustand.
Lieferung aus: Vereinigte Staaten von Amerika, Versandkosten nach: DEU.
Von Händler/Antiquariat, ThriftBooks.
Princeton University Press, 2003. Hardcover. Good. Disclaimer:A copy that has been read, but remains in clean condition. All pages are intact, and the cover is intact. The spine may show signs of wear. Pages can include limited notes and highlighting, and the copy can include previous owner inscriptions. At ThriftBooks, our motto is: Read More, Spend Less.Dust jacket quality is not guaranteed.
Von Händler/Antiquariat, ThriftBooks.
Princeton University Press, 2003. Hardcover. Good. Disclaimer:A copy that has been read, but remains in clean condition. All pages are intact, and the cover is intact. The spine may show signs of wear. Pages can include limited notes and highlighting, and the copy can include previous owner inscriptions. At ThriftBooks, our motto is: Read More, Spend Less.Dust jacket quality is not guaranteed.
2
Four Colors Suffice: How the Map Problem Was Solved (2003)
~EN HC USISBN: 9780691115337 bzw. 0691115338, vermutlich in Englisch, Princeton University Press, gebundenes Buch, gebraucht, guter Zustand, mit Einband.
Von Händler/Antiquariat, Wonder Book [8895], Frederick, MD, U.S.A.
Very Good condition. Good dust jacket. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. Bundled media such as CDs, DVDs, floppy disks or access codes may not be included. Books.
Very Good condition. Good dust jacket. A copy that may have a few cosmetic defects. May also contain light spine creasing or a few markings such as an owner's name, short gifter's inscription or light stamp. Bundled media such as CDs, DVDs, floppy disks or access codes may not be included. Books.
3
Four Colors Suffice: How the Map Problem Was Solved (2003)
EN HC USISBN: 9780691115337 bzw. 0691115338, in Englisch, 288 Seiten, Princeton University Press, gebundenes Buch, gebraucht.
Neu ab: € 46,83 (2 Angebote)
Gebraucht ab: € 2,45 (8 Angebote)
Zu den weiteren 10 Angeboten bei Amazon.de (Int.)
Lieferung aus: Deutschland, Versandfertig in 1 - 2 Werktagen, Tatsächliche Versandkosten können abweichen.
Von Händler/Antiquariat, Bear Books Germany.
At first glance Four Colours Suffice seems like such an easy thing to prove. However big and complicated the map, four colours are enough to distinguish each country from its neighbours. How do we prove that only four colours are needed? Once we realise that, if four countries all share borders with each other, then one country must be enclosed by the other three (try it), we seem to be most of the way there. But things turned out to be not quite so simple. Robin Wilson might balk at the idea that his sardonic and lively account of the problem and its solution is in any way farcical--as, indeed, might the dedicated mathematicians and keen amateurs whose 150 years of work he describes. But if the way an apparently simple problem throws out poisoned blossoms of complication, confusion and embarrassment is your definition of farce, then this story surely fits the bill. Proving the four-colour conjecture turned out to be heinously difficult, and has at last been achieved--and that in the ugliest way imaginable--only with the aid of a computer.This, we can see now, was a landmark moment in mathematics: the moment we realised that there are proofs out there so complicated, that publishing them in full is impractical, working through them by hand is impossible, and explaining them to the public requires writers of a very special stamp indeed. (Robin Wilson, I should add, is most definitely one of them.) The publishers, in deciding to make a black-and-white book out of a colour problem, have not only done justice to Wilson's illustrations, but have also created one of the most visually arresting science books around. --Simon Ings, Gebundene Ausgabe, Label: Princeton University Press, Princeton University Press, Produktgruppe: Book, Publiziert: 2003-01-06, Studio: Princeton University Press, Verkaufsrang: 685200.
Von Händler/Antiquariat, Bear Books Germany.
At first glance Four Colours Suffice seems like such an easy thing to prove. However big and complicated the map, four colours are enough to distinguish each country from its neighbours. How do we prove that only four colours are needed? Once we realise that, if four countries all share borders with each other, then one country must be enclosed by the other three (try it), we seem to be most of the way there. But things turned out to be not quite so simple. Robin Wilson might balk at the idea that his sardonic and lively account of the problem and its solution is in any way farcical--as, indeed, might the dedicated mathematicians and keen amateurs whose 150 years of work he describes. But if the way an apparently simple problem throws out poisoned blossoms of complication, confusion and embarrassment is your definition of farce, then this story surely fits the bill. Proving the four-colour conjecture turned out to be heinously difficult, and has at last been achieved--and that in the ugliest way imaginable--only with the aid of a computer.This, we can see now, was a landmark moment in mathematics: the moment we realised that there are proofs out there so complicated, that publishing them in full is impractical, working through them by hand is impossible, and explaining them to the public requires writers of a very special stamp indeed. (Robin Wilson, I should add, is most definitely one of them.) The publishers, in deciding to make a black-and-white book out of a colour problem, have not only done justice to Wilson's illustrations, but have also created one of the most visually arresting science books around. --Simon Ings, Gebundene Ausgabe, Label: Princeton University Press, Princeton University Press, Produktgruppe: Book, Publiziert: 2003-01-06, Studio: Princeton University Press, Verkaufsrang: 685200.
4
Four Colors Suffice: How the Map Problem Was Solved (2003)
EN HC USISBN: 9780691115337 bzw. 0691115338, in Englisch, Princeton University Press, gebundenes Buch, gebraucht.
Neu ab: CDN$ 36.25 (6 Angebote)
Gebraucht ab: CDN$ 0.01 (16 Angebote)
Zu den weiteren 22 Angeboten bei Amazon.ca
Lieferung aus: Kanada, Usually ships within 1 - 2 business days, tatsächliche Versandkosten können abweichen.
Von Händler/Antiquariat, greatbuy_books_usa.
At first glance Four Colours Suffice seems like such an easy thing to prove. However big and complicated the map, four colours are enough to distinguish each country from its neighbours. How do we prove that only four colours are needed? Once we realise that, if four countries all share borders with each other, then one country must be enclosed by the other three (try it), we seem to be most of the way there. But things turned out to be not quite so simple. Robin Wilson might balk at the idea that his sardonic and lively account of the problem and its solution is in any way farcical--as, indeed, might the dedicated mathematicians and keen amateurs whose 150 years of work he describes. But if the way an apparently simple problem throws out poisoned blossoms of complication, confusion and embarrassment is your definition of farce, then this story surely fits the bill. Proving the four-colour conjecture turned out to be heinously difficult, and has at last been achieved--and that in the ugliest way imaginable--only with the aid of a computer.This, we can see now, was a landmark moment in mathematics: the moment we realised that there are proofs out there so complicated, that publishing them in full is impractical, working through them by hand is impossible, and explaining them to the public requires writers of a very special stamp indeed. (Robin Wilson, I should add, is most definitely one of them.) The publishers, in deciding to make a black-and-white book out of a colour problem, have not only done justice to Wilson's illustrations, but have also created one of the most visually arresting science books around. --Simon Ings, Hardcover, Label: Princeton University Press, Princeton University Press, Produktgruppe: Book, Publiziert: 2003, Studio: Princeton University Press, Verkaufsrang: 1409214.
Von Händler/Antiquariat, greatbuy_books_usa.
At first glance Four Colours Suffice seems like such an easy thing to prove. However big and complicated the map, four colours are enough to distinguish each country from its neighbours. How do we prove that only four colours are needed? Once we realise that, if four countries all share borders with each other, then one country must be enclosed by the other three (try it), we seem to be most of the way there. But things turned out to be not quite so simple. Robin Wilson might balk at the idea that his sardonic and lively account of the problem and its solution is in any way farcical--as, indeed, might the dedicated mathematicians and keen amateurs whose 150 years of work he describes. But if the way an apparently simple problem throws out poisoned blossoms of complication, confusion and embarrassment is your definition of farce, then this story surely fits the bill. Proving the four-colour conjecture turned out to be heinously difficult, and has at last been achieved--and that in the ugliest way imaginable--only with the aid of a computer.This, we can see now, was a landmark moment in mathematics: the moment we realised that there are proofs out there so complicated, that publishing them in full is impractical, working through them by hand is impossible, and explaining them to the public requires writers of a very special stamp indeed. (Robin Wilson, I should add, is most definitely one of them.) The publishers, in deciding to make a black-and-white book out of a colour problem, have not only done justice to Wilson's illustrations, but have also created one of the most visually arresting science books around. --Simon Ings, Hardcover, Label: Princeton University Press, Princeton University Press, Produktgruppe: Book, Publiziert: 2003, Studio: Princeton University Press, Verkaufsrang: 1409214.
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Four Colors Suffice: How the Map Problem Was Solved (1852)
ENISBN: 9780691115337 bzw. 0691115338, in Englisch, Princeton University Press.
Lieferung aus: Vereinigte Staaten von Amerika, Lagernd.
Four Colors Suffice: How the Map Problem Was Solved Wilson, Robin, On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.
Four Colors Suffice: How the Map Problem Was Solved Wilson, Robin, On October 23, 1852, Professor Augustus De Morgan wrote a letter to a colleague, unaware that he was launching one of the most famous mathematical conundrums in history--one that would confound thousands of puzzlers for more than a century. This is the amazing story of how the "map problem" was solved. The problem posed in the letter came from a former student: What is the least possible number of colors needed to fill in any map (real or invented) so that neighboring counties are always colored differently? This deceptively simple question was of minimal interest to cartographers, who saw little need to limit how many colors they used. But the problem set off a frenzy among professional mathematicians and amateur problem solvers, among them Lewis Carroll, an astronomer, a botanist, an obsessive golfer, the Bishop of London, a man who set his watch only once a year, a California traffic cop, and a bridegroom who spent his honeymoon coloring maps. In their pursuit of the solution, mathematicians painted maps on doughnuts and horseshoes and played with patterned soccer balls and the great rhombicuboctahedron. It would be more than one hundred years (and countless colored maps) later before the result was finally established. Even then, difficult questions remained, and the intricate solution--which involved no fewer than 1,200 hours of computer time--was greeted with as much dismay as enthusiasm. Providing a clear and elegant explanation of the problem and the proof, Robin Wilson tells how a seemingly innocuous question baffled great minds and stimulated exciting mathematics with far-flung applications. This is the entertaining story of those who failed to prove, and those who ultimately did prove, that four colors do indeed suffice to color any map.
6
Symbolbild
Four Colors Suffice: How the Map Problem Was Solved (2003)
~EN HC USISBN: 9780691115337 bzw. 0691115338, vermutlich in Englisch, Princeton University Press, gebundenes Buch, gebraucht, guter Zustand.
Lieferung aus: Vereinigte Staaten von Amerika, zzgl. Versandkosten, Versandgebiet: DOM.
Von Händler/Antiquariat, HPB Inc. TX, Carrollton, [RE:4].
Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! hardcover.
Von Händler/Antiquariat, HPB Inc. TX, Carrollton, [RE:4].
Connecting readers with great books since 1972! Used books may not include companion materials, and may have some shelf wear or limited writing. We ship orders daily and Customer Service is our top priority! hardcover.
7
Symbolbild
Four Colors Suffice: How the Map Problem Was Solved (2003)
~EN HC USISBN: 9780691115337 bzw. 0691115338, vermutlich in Englisch, Princeton University Press, gebundenes Buch, gebraucht, guter Zustand.
Lieferung aus: Vereinigte Staaten von Amerika, Versandkosten nach: DEU.
Von Händler/Antiquariat, ThriftBooks.
Princeton University Press, 2003. Hardcover. Good. Former library book; Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
Von Händler/Antiquariat, ThriftBooks.
Princeton University Press, 2003. Hardcover. Good. Former library book; Missing dust jacket; Pages can have notes/highlighting. Spine may show signs of wear. ~ ThriftBooks: Read More, Spend Less.Dust jacket quality is not guaranteed.
8
Symbolbild
Four Colors Suffice: How the Map Problem Was Solved (2003)
EN HC US FEISBN: 9780691115337 bzw. 0691115338, in Englisch, Princeton University Press, gebundenes Buch, gebraucht, Erstausgabe.
Lieferung aus: Vereinigte Staaten von Amerika, Versandkosten nach: DEU.
Von Händler/Antiquariat, Turn-The-Page Books.
Princeton University Press, 2003. 1st printing. A crisp and unmarked copy. 262pp. Jacket now in a new mylar cover.. First Edition. Hardcover. Fine/Near Fine. 8vo - 8" - 9" Tall.
Von Händler/Antiquariat, Turn-The-Page Books.
Princeton University Press, 2003. 1st printing. A crisp and unmarked copy. 262pp. Jacket now in a new mylar cover.. First Edition. Hardcover. Fine/Near Fine. 8vo - 8" - 9" Tall.
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