Il riso di Talete - Matematica e umorismo

Gianpietro Zucchetta
Istituto Veneto di Scienze, Lettere ed Arti

Ray Curnow, Susan Curran
Paolo Boringhieri

Domenico Costantini, Ubaldo Garibaldi, Maria Antonietta Penco
Franco Muzzio & C. Editore

D. Faddeev, I. Sominkij
Editori Riuniti. Edizioni Mir

Letizia Negri Patroni
Franco Angeli Editore

Luis Yu Chuen-Tao
Franco Angeli Editore

Ivars Peterson
Rizzoli

Petr Beckmann
St. Martin's Press

Robin Wilson
Princeton University Press

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.


This new edition features many color illustrations. It also includes a new foreword by Ian Stewart on the importance of the map problem and how it was solved.

Godfrey Harold Hardy
Aldo Garzanti Editore

Leonard A. Smith
Codice edizioni

Può il battito d'ali di una farfalla causare un uragano dall'altra parte del mondo? La definizione del celebre "buttetfly effect", fatta dal meteorologo Edward Lorenz negli anni Settanta del Novecento, ha aperto la strada a una nuova stagione nel settore degli studi di logica e matematica. La linea frastagliata di una costa, l'evoluzione delle condizioni meteorelogiche, la forma delle nubi, i crash dei sistemi informatici, le oscillazioni dei mercati azionari: per la scienza tradizionale questi fenomeni sarebbero stati assegnati al regno dell'informe, dell'imprevedibile, dell'irregolare. In una parola, al caos. Ma attenzione, avverte Leonard Smith: "caos" non è sinonimo di "caso", come la logica potrebbe indurre a pensare. E nemmeno si può parlare di disordine: i sistemi caotici e non lineari, alla luce delle nuove scoperte, sono sistemi dinamici sempre prevedibili a breve termine, e quindi riconducibili a una logica nuova, a un nuovo approccio conoscitivo che, abbandonata definitivamente la pretesa di un dominio completo dell'uomo sulla natura, ne rispetta e interpreta la complessità.

Martin Gardner
Zanichelli