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From Cardano’s great art to Lagrange’s reflections: filling a gap in the history of algebra

  • Jacqueline Stedall

    University of Oxford, UK
From Cardano’s great art to Lagrange’s reflections: filling a gap in the history of algebra cover
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Frontmatterpp. i–iv
Contentsp. v
Introductionpp. vii–xi
Characters in order of appearancep. xii
Part I From Cardano to Newton: 1545 to 1707p. 1
1From Cardano to Viètepp. 3–28
2From Viète to Descartespp. 29–49
3From Descartes to Newtonpp. 50–77
Part II From Newton to Lagrange: 1707 to 1771p. 79
4Discerning the nature of the rootspp. 81–103
5Roots as sums of radicalspp. 104–120
6Functions of the rootspp. 121–130
7Elimination theorypp. 131–145
8The degree of a resolventpp. 146–152
9Numerical solutionpp. 153–162
10The insights of Lagrange, 1771pp. 163–183
11The outsiders: Waring and Vandermondepp. 184–196
Part III After Lagrangep. 197
12Dissemination and new directionspp. 199–208
Bibliographypp. 209–220
Indexpp. 221–224