Index
Abel, Niels Henrik, xii, xix, 49, 50,
53, 55, 95, 114
absolute value, 14, 32, 34
Acampora, Renato, 1, 4, 9
adjunction, 95-97, 102-105, 109
algebraic structure, 171
algebraically independent, 169
al-Khwarizmi, 2, 3, 5
alternating group, 170
analytic geometry, 136
Archimedes, 4
Argand, Jean Robert, 34
Ars Magna, x, xi, 5, 6, 8-10, 19, 23,
24, 29, 30
Artin, Emil, xix, 95, 149, 150, 162
associative law, 128
automorphism, 126, 132-135,
139-143, 145-147, 151, 152,
154-156
automorphism group, 125, 135, 148
axiomatic foundations of
mathematics, 166, 168
Ayoub, Raymond G., 51
Bachmann, Paul, 79
basis, 6, 115, 126, 136, 137, 155
Bezout, Etienne, 46, 83
bicubic resolvent, 85, 86, 88, 113
bijection, 141, 142, 150
biquadratic equation, xi, xii, xviii,
24-28, 37, 38, 40-42, 44, 53, 76,
99, 101, 102, 106, 110-112
Bombelli, Rafael, 11, 18
Bos, Henk, 28, 70
Bosch, Siegfried, 162
Breuer, Samson, 90
Bring, Erland Samuel, 83, 89, 90
Bring-Jerrard transformation, 83, 90
Buchmann, Johannes, xvi
Cantor, Moritz, 11
Cardano
formula, 6, 7, 11
suspension, 4
wave, 4
Cardano, Geronimo, xi, xvi, 23, 24
Cartesian coordinates, 69, 70
casus irreducibilis, 10, 16, 20, 75
Cauchy's theorem, 176
Cauchy, Augustin-Louis, 34
characteristic of a field, 132, 171
closed, xiv, xix, 96, 126, 128, 138, 168
complex
analysis, 14
number, 10-13, 31, 32, 34, 64,
74-76, 96
plane, 14, 15, 64, 161
composition of permutations, 43, 94,
101, 127
computer algebra system, 58
conjugate subgroup, 145, 146
continuity of a function, 14, 31-33
coset, 129, 131, 146, 147, 159, 170
Crelle, August Leopold, 114
cryptography, xvi, 173
cubic equation, x, xi, 1, 4-10, 17, 18,
20, 21, 24, 25, 38, 40, 41, 53, 55,
75, 97, 107-109, 161
cubic resolvent, 100, 102, 112
cycle, 54
cyclotomic equation, xviii, 17, 39, 59,
60, 65, 67, 70, 72, 73, 75, 77, 79,
80, 94, 107, 110, 112, 123, 135,
154-158, 171
177
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