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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