The Book of NumbersSpringer Science & Business Media, 6 Dis 2012 - 310 halaman 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. |
Kandungan
| 1 | |
AND ALGEBRA BY GEOMETRY | 27 |
WHAT COMES NEXT? | 63 |
FAMOUS FAMILIES OF NUMBERS | 91 |
THE PRIMACY OF PRIMES | 127 |
FURTHER FRUITFULNESS OF FRACTIONS | 151 |
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algebraic numbers Amer angle answer approximations arithmetic Babylonian base bers binary binomial Cantor's cards Catalan numbers Chapter circle complex numbers computed congruent count cubes cycle length decimal denominator diagonal digits divide Eisenstein integers equation Euler exactly example fact factor Farey series Faulhaber's formula Fibonacci numbers Ford circles formula fractions frieze patterns Gauss Gaussian Gaussian integer Gaussian primes geometrical gives Greek Hackenbush hex numbers hexagon instance irrational numbers logarithms Martin Gardner Math mathematician mathematics Mersenne Mersenne primes modulo multiples names notation numbers Figure odd numbers ordinal numbers Pascal's triangle pentatope petals positive powers prime numbers Pythagorean quadratic quaternions ratio rational numbers real numbers roots sequence shows shuffle square numbers square pyramid stella octangula Størmer surreal numbers t₁ tetrahedral number theorem transcendental triangular numbers whole number word zero ω² סא