Bücher von Richard Guy

To many laymen, mathematicians appear to be problem solvers, people who do "e;hard sums"e;. Even inside the profession we dassify ourselves as either theorists or problem solvers. Mathematics is kept alive, much more than by the activities of either dass, by the appearance of a succession of unsolved problems, both from within mathematics-itself and from the in- creasing number of disciplines where it is applied. Mathematics often owes more to those who ask questions than to those who answer them. The solu- tion of a problem may stifte interest in the area around it. But "e;Fermat's Last Theorem"e;, because it is not yet a theorem, has generated a great deal of "e;good"e; mathematics, whether goodness is judged by beauty, by depth or byapplicability. To pose good unsolved problems is a difficult art. The balance between triviality and hopeless unsolvability is delicate. There are many simply stated problems which experts tell us are unlikely to be solved in the next generation. But we have seen the Four Color Conjecture settled, even ifwe don't live long enough to leam the status of the Riemann and Goldbach hypotheses, of twin primes or Mersenne primes, or of odd perfeet numbers. On the other hand, "e;unsolved"e; problems may not be unsolved at all, or may be much more tractable than was at first thought.

Journey through the world of numbers with the foremost authorities and writers in the field. John Horton Conway and Richard K. Guy are two of the most accomplished, creative, and engaging number theorists any mathematically minded reader could hope to encounter. In this book, Conway and Guy lead the reader on an imaginative, often astonishing tour of the landscape of numbers. The Book of Numbers is just that - an engagingly written, heavily illustrated introduction to the fascinating, sometimes surprising properties of numbers and number patterns. The book opens up a world of topics, theories, and applications, exploring intriguing aspects of real numbers, systems, arrays and sequences, and much more. Readers will be able to use figures to figure out figures, rub elbows with famous families of numbers, prove the primacy of primes, fathom the fruitfulness of fractions, imagine imaginary numbers, investigate the infinite and infinitesimal and more.