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Mathematics and Social Utopias in France: Olinde Rodrigues and His Times illustrated Edition [Kõva köide]

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  • Formaat: Hardback, 168 pages, ports
  • Sari: History of Mathematics
  • Ilmumisaeg: 01-Nov-2005
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821838601
  • ISBN-13: 9780821838600
Teised raamatud teemal:
  • Formaat: Hardback, 168 pages, ports
  • Sari: History of Mathematics
  • Ilmumisaeg: 01-Nov-2005
  • Kirjastus: American Mathematical Society
  • ISBN-10: 0821838601
  • ISBN-13: 9780821838600
Teised raamatud teemal:
Social reformer, banker, and mathematician, Olinde Rodrigues is a fascinating figure of nineteenth-century Paris. Information about him is obscure - scattered in publications on history, mathematics, and the social sciences - and often inaccurate. Rodrigues left no papers or archives. Here, for the first time, is an authoritative account of his family history, education, and important mathematical works. Written by a team of prominent mathematicians and historians, the book comprises the interests and associations that make Rodrigues such a remarkable character in the history of mathematics. This is a superb panorama of nineteenth-century France, portrayed through the life and work of Olinde Rodrigues.The beginning chapters attempt to recreate the scientific and social background of nineteenth-century Paris and Rodrigues' place in it. The following chapters discuss his contributions to a variety of mathematical fields (e.g., orthogonal polynomials, combinatorics, and rotations). The final chapters discuss contemporary reactions to his mathematical work. Sufficient background is given to make it accessible to readers familiar with basic college mathematics. The book is suitable for specialists in the history of mathematics and/or science, graduate students, and mathematicians.
Preface ix
List of Contributors
xi
Introduction
1(4)
Simon Altmann
Eduardo L. Ortiz
Olinde Rodrigues and His Times
5(34)
Simon Altmann
David Siminovitch
Barrie M. Ratcliffe
Family
6(5)
Education
11(2)
Olinde Rodrigues: The mathematician
13(7)
Olinde Rodrigues: Banker, social reformer, Saint-Simonian
20(6)
Olinde Rodrigues: The man
26(7)
Acknowledgements
33(1)
Bibliography of Olinde Rodrigues's works
34(1)
General bibliography
35(2)
Archival sources
37(2)
Towards a Better Understanding of Olinde Rodrigues and His Circle: Family and Faith in His Life and Career
39(32)
Barrie M. Ratcliffe
Towards a better understanding
39(6)
Family
45(9)
Faith
54(12)
Conclusions
66(1)
Bibliography
67(4)
Euphrasie and Olinde Rodrigues: The `Woman Question' within Saint-Simonism
71(24)
Paola Ferruta
Birth and marriage
72(1)
The beginnings of Saint-Simonism and the `woman question'
73(2)
Michel Chevalier's letter
75(5)
Edmond Talabot's letter
80(2)
Euphrasie's letter
82(5)
The moral question
87(4)
Conclusions
91(1)
Acknowledgements
92(1)
Notes
92(1)
Bibliography
92(3)
Rodrigues's Early Work in Mathematics, 1813-1816
95(10)
I. Grattan-Guinness
The range of institutions for science and education
95(1)
Rodrigues's unusual venue of publication
95(2)
Rodrigues's theses
97(2)
Rodrigues's other papers in the Correspondance
99(1)
Concluding remark
100(1)
Bibliography
101(4)
The 1839 Paper on Permutations: Its Relation to the Rodrigues Formula and Further Developments
105(14)
Richard Askey
Introduction
105(1)
The work on Legendre polynomials
106(1)
Extensions to other orthogonal polynomials
107(3)
The Rodrigues paper of 1839
110(2)
Later extensions
112(4)
Bibliography
116(3)
Olinde Rodrigues and Combinatorics
119(12)
Ulrich Tamm
Introduction
119(1)
Catalan numbers
119(2)
The discussion in the Journal de Liouville: 1838-1843
121(2)
Olinde Rodrigues's contributions to Catalan numbers
123(1)
Netto's presentation
124(1)
Sequences and inversions
125(1)
Approximation of central binomial coefficients
125(1)
The Rodrigues formula and alternating-sign matrices
126(1)
Concluding remarks
126(2)
Bibliography
128(3)
Olinde Rodrigues's Paper of 1840 on a Group of Transformations
131(10)
Jeremy Gray
Introduction
131(1)
The contents of Rodrigues's paper
131(3)
The context of the paper
134(3)
The significance of the paper
137(2)
Bibliography
139(2)
After Rodrigues: From Rotations to Quaternions
141(22)
Eduardo L. Ortiz
Introduction
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)
Final remarks
158(1)
Bibliography
159(2)
Archival sources
161(2)
Index 163