Explorations in Mathematics |
Contents
The making of a millionaire | 23 |
5 | 29 |
9 | 36 |
Pythagorean Triplets | 48 |
5 | 55 |
Multiplication of Very Large Numbers | 66 |
Further work on prime numbers | 73 |
59 | 75 |
Generation of Pythagorean triplets by trial | 134 |
Number Systems | 142 |
Cheque Writer | 155 |
The 3X + 1 Sequence | 161 |
Diophantine Equations | 168 |
49 | 178 |
The Name of the Game is LIFE | 181 |
Magic Squares | 197 |
Common terms and phrases
ANYTDEC2 Aryabhata BASIC program bers Bhaskara II biorhythm Brahmagupta calculate the value calendar column common logarithms computer program configuration converted correct decimal places decimal point decimal system DECTANY2 deposit determined developed diagonal digits Diophantine equation Divide divisible END Appendix error Fibonacci sequence follows formula fractional given in Appendix given number GOSUB GOTO graph paper hexadecimal infinite number infinite series input number integer John Napier large numbers limiting number magic square mathematical mathematicians method month multiplication natural numbers number of prime number of terms number system octal odd numbers player possible prime numbers PRINT Enter program in Appendix Pythagorean triplets quotient ratio REM Move number REM Subroutine remainder rsum rules Section seed-design selected shown in Figure software package solutions solve starting number Subroutine sum of reciprocals system with base Tic-Tac-Toe tion twin primes variables white counters write