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- English
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- 1 online resource (331)
- ISBNs
- 9783319468303, 9783319468310, 3319468308, 3319468316
- OCLC
- ocn965136797
- Preface; Contents; 1 Measures; Favourite numbers; Prime numbers; Factors; Weights and measures; Musical notes; Currencies; Further reading; Exercises; 2 Amicable Numbers; Perfect numbers; Modular arithmetic; Mersenne the monk; Amicable numbers; Amicable multiplets; Sociable cycles; Fermat numbers; Fibonacci numbers; Further reading; Exercises; 3 Probability; Heads or tails; Distributions; Shake, rattle, and roll; The normal distribution; An abnormal distribution; Tossing for; Double or quits; A medical problem; Which box has the prize?; Craps and poker; Further reading; Exercises; 4 Fractions
- Real numbersVulgar fractions; Egyptian fractions; Dividing loaves; The table of 2/; The method of false position; Decimal fractions; Roots; Continued fractions; The eye of Horus; Further reading; Exercises; 5 Time; Basic rhythms; The Roman calendar; The Gregorian calendar; Start of the year and quarters; The week; Time of day; Sunshine; Further reading; Exercises; 6 Notations; Types of notation; Roman numbers; Babylonian system; Place systems and bases; Divisibility; Fractions and bases; Fermat's Little Theorem; Further reading; Exercises; 7 Bells; Rounds and plain hunting; Plain Bob Minimus
- Plain Bob DoublesStedman; Grandsire; Groups; Further reading; Exercises; 8 Primes; Greatest Common Divisor; Prime factors; Fermat's method; Eratosthenes revisited; Complex numbers; Complex primes; Polynomials; Further reading; Exercises; 9 Music; Frequency and vibrations; The Pythagorean scale; Cents; Just intonation; Minor scales; Meantone temperament; Equal temperament; Other arrangements; Dividing the octave; Further reading; 10 Finale; The RSA algorithm; Linear congruences; Euler's function; Encryption and decryption; Code blocks; Animal gaits; Towers and rings; Further reading
- 11 A AckermannRecursion and iteration; Further reading; 12 B Pascal's Triangle; Basic properties; Fibonacci numbers; Squares and pyramids; Further reading; 13 C Stochastics; War games; Queuing; Further reading; 14 D Polydivisibility; The problem; Other bases; 15 E Groups; Basics; Subgroups; Generators; Cosets; Permutations; Polyhedral groups; Direct products; The quaternion group; Further reading; 16 F Rubik; Basics; Restoring a cube; Summary of restoration; The cube group; Cosets; Finally; Further reading; 17 G Differences; Rings; Towers; Fibonacci numbers; Hats; Further reading
- 18 H Chinese RemaindersLinear congruences; Simultaneous equations; Pirates; Eggs; Squares; 19 J Mersenne; Mersenne's 31-note keyboard; A schema; The 12-note keyboards; An 18-note keyboard; A 26-note keyboard; The 31-note keyboard; Intervals; A better keyboard; Modulation; Tonnetz revisited; Further reading; Bibliography; Index