Preface |
|
ix | |
|
|
xi | |
|
|
1 | (4) |
|
|
|
Olinde Rodrigues and His Times |
|
|
5 | (34) |
|
|
|
|
|
6 | (5) |
|
|
11 | (2) |
|
Olinde Rodrigues: The mathematician |
|
|
13 | (7) |
|
Olinde Rodrigues: Banker, social reformer, Saint-Simonian |
|
|
20 | (6) |
|
Olinde Rodrigues: The man |
|
|
26 | (7) |
|
|
33 | (1) |
|
Bibliography of Olinde Rodrigues's works |
|
|
34 | (1) |
|
|
35 | (2) |
|
|
37 | (2) |
|
Towards a Better Understanding of Olinde Rodrigues and His Circle: Family and Faith in His Life and Career |
|
|
39 | (32) |
|
|
Towards a better understanding |
|
|
39 | (6) |
|
|
45 | (9) |
|
|
54 | (12) |
|
|
66 | (1) |
|
|
67 | (4) |
|
Euphrasie and Olinde Rodrigues: The `Woman Question' within Saint-Simonism |
|
|
71 | (24) |
|
|
|
72 | (1) |
|
The beginnings of Saint-Simonism and the `woman question' |
|
|
73 | (2) |
|
Michel Chevalier's letter |
|
|
75 | (5) |
|
|
80 | (2) |
|
|
82 | (5) |
|
|
87 | (4) |
|
|
91 | (1) |
|
|
92 | (1) |
|
|
92 | (1) |
|
|
92 | (3) |
|
Rodrigues's Early Work in Mathematics, 1813-1816 |
|
|
95 | (10) |
|
|
The range of institutions for science and education |
|
|
95 | (1) |
|
Rodrigues's unusual venue of publication |
|
|
95 | (2) |
|
|
97 | (2) |
|
Rodrigues's other papers in the Correspondance |
|
|
99 | (1) |
|
|
100 | (1) |
|
|
101 | (4) |
|
The 1839 Paper on Permutations: Its Relation to the Rodrigues Formula and Further Developments |
|
|
105 | (14) |
|
|
|
105 | (1) |
|
The work on Legendre polynomials |
|
|
106 | (1) |
|
Extensions to other orthogonal polynomials |
|
|
107 | (3) |
|
The Rodrigues paper of 1839 |
|
|
110 | (2) |
|
|
112 | (4) |
|
|
116 | (3) |
|
Olinde Rodrigues and Combinatorics |
|
|
119 | (12) |
|
|
|
119 | (1) |
|
|
119 | (2) |
|
The discussion in the Journal de Liouville: 1838-1843 |
|
|
121 | (2) |
|
Olinde Rodrigues's contributions to Catalan numbers |
|
|
123 | (1) |
|
|
124 | (1) |
|
|
125 | (1) |
|
Approximation of central binomial coefficients |
|
|
125 | (1) |
|
The Rodrigues formula and alternating-sign matrices |
|
|
126 | (1) |
|
|
126 | (2) |
|
|
128 | (3) |
|
Olinde Rodrigues's Paper of 1840 on a Group of Transformations |
|
|
131 | (10) |
|
|
|
131 | (1) |
|
The contents of Rodrigues's paper |
|
|
131 | (3) |
|
|
134 | (3) |
|
The significance of the paper |
|
|
137 | (2) |
|
|
139 | (2) |
|
After Rodrigues: From Rotations to Quaternions |
|
|
141 | (22) |
|
|
|
141 | (1) |
|
The algebraization of geometry: Accomplishments and failures |
|
|
142 | (2) |
|
The early reception of equipollences in France |
|
|
144 | (1) |
|
Transon and Olinde Rodrigues's circle of friends |
|
|
145 | (1) |
|
Transon's break with Enfantin |
|
|
146 | (1) |
|
The evolution of quaternion studies in France |
|
|
147 | (1) |
|
Quaternions reach the University of Paris: Allegret's doctoral thesis |
|
|
147 | (1) |
|
The diffusion of Bellavitis's work in France: Charles-Ange Laisant |
|
|
148 | (1) |
|
From Bellavitis to Hamilton: A reevaluation of Mourey's work |
|
|
149 | (1) |
|
Laisant's thesis on quaternions at the University of Paris |
|
|
150 | (1) |
|
Quaternions as an integral part of France's mathematical scenario |
|
|
151 | (1) |
|
The loss of commutativity: Theoretical questions posed by quaternions |
|
|
152 | (1) |
|
Quaternions and the jealousies between analysis and geometry |
|
|
153 | (1) |
|
The social side of mathematics: An international network of mathematical communication |
|
|
154 | (1) |
|
Rodrigues's descendants from 1840 |
|
|
154 | (4) |
|
|
158 | (1) |
|
|
159 | (2) |
|
|
161 | (2) |
Index |
|
163 | |