Index
Algebra, 128
abelian, 128
associative, 128
commutative, 128
division, 128
Algebraic closur e o f Q, 11 9
Algebraic notation , 4 4
Algebraic numbe r theory , 108
Algebraic numbers , 3 9
Algorithm, 4 3
Amicable numbers , 4 5
Ars Magna , 57 , 84-8 6
Axioms, 3
Euclid's, 5
Bhavana, 18, 20-2 3
Binary scale , 12
Biquadratic equation , 56 , 87-9 1
auxiliary cubi c to, 88-8 9
Ferrari's solutio n of , 89-9 1
Brahmagupta trapezium , 19
Brahmagupta's identity , 19
Cakravala, 17, 18, 21, 23-31
Cardano's formula , 55 , 75, 119-12 1
Cayley numbers , 130
Clifford algebra , 129, 135
Commensurable, 11
Complex conjugation , 106
Complex numbers , 76 , 99
absolute valu e of, 106
conjugate of , 106
division of , 101
geometry of , 104
imaginary par t of , 100
multiplication of , 100
Nth
root s of , 11 1
real par t of , 100
trigonometry of , 108
Complex plane , 104
Congruence class , 23 , 25
Congruences, 2 3
Congruent, 2 3
Constructions o f numbers, 3 3
by geometrical means , 3 3
by straightedg e an d compass , 123
Continued fractions , 2 8
expansion as , 30
Cubic equation , 4 7
del Ferro' s formula , 67 , 69-7 1
discriminant of , 6 7
double roo t of , 7 7
formula fo r th e roo t of , 6 7
irreducible cas e of, 76 , 85
triple root of , 76 , 78
Cyclic method, 17, 26
Cyclotomic field , 131
De Moivre's formula , 111
De Propria Vita , 5 8
Diophantine equation , 9
Diophantine problems , 8
Electron, 129, 134
Dirac's equation of , 129, 134
spin of , 129
Equations o f degree 5 , 125
Euclid's Elements , 3- 6
Exponential growth , 5 0
Fermat's las t theorem , 8 , 108
Fibonacci numbers , 49-5 2
Fields, 128
Flos, 48 , 49
Fundamental theore m o f algebra , 82 ,
117
over th e rea l numbers , 118
Gaussian integers , 102
Gaussian rationals , 102, 119
Gregory's series , 38 , 40
Hilbert's problems , 4 1
Hypercomplex systems , 129
141
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