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Ser. 1, Vol. 1 ISBN 9781108002493
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Part I. Theorie de la propagation des ondes a la surface d'un fluide pesant d'une profondeur indefinie
- Part II. Memoire sur les integrales definies
- Premier supplement
- Second supplement
- Table des matieres du tome premier de la premiere serie.
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Ser. 1, Vol. 2 ISBN 9781108002660
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome deuxieme de la premiere serie.
- 巻冊次
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Ser. 1, Vol. 3 ISBN 9781108002684
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoire sur la theorie des nombres
- Table des matieres du tome troisieme de la premiere serie.
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Ser. 1, Vol. 4 ISBN 9781108002707
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome quatrieme de la premiere serie.
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Ser. 1, Vol. 5 ISBN 9781108002714
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome cinquieme de la premiere serie.
- 巻冊次
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Ser. 1, Vol. 6 ISBN 9781108002721
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome sixieme de la premiere serie.
- 巻冊次
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Ser. 1, Vol. 7 ISBN 9781108002738
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome septieme de la premiere serie.
- 巻冊次
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Ser. 1, Vol. 8 ISBN 9781108002745
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome huitieme de la premiere serie.
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Ser. 1, Vol. 9 ISBN 9781108002769
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome neuvieme de la premiere serie.
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Ser. 1, Vol. 10 ISBN 9781108002776
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome dixieme de la premiere serie.
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Ser. 1, Vol. 11 ISBN 9781108002806
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table des matieres du tome onzieme de la premiere serie.
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Ser. 1, Vol. 12 ISBN 9781108002813
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires, notes et articles extraits des recueils de l'Academie des sciences de l'Institut de France
- Table generale des matieres contenues dans les douze volumes de la premiere serie.
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Ser. 2, Vol. 1 ISBN 9781108002905
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Memoires publies dans divers recueils autres que ceux de l'academie
- Table des matieres du tome premier de la seconde serie.
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Ser. 2, Vol. 2 ISBN 9781108002912
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- 1. Memoires extraits du 'Journal de Mathematiques pures et appliquees'
- 2. Memoires extraits du 'Bulletin de Ferussac'
- 3. Memoires extraits du 'Bulletin de la Societe Philomatique'
- 4. Memoires extraits des 'Annales de Mathematiques'
- 5. Memoires extraits de la 'Correspondance sur l'Ecole Polytechnique'
- Table des matieres du tome deuxieme de la seconde serie.
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Ser. 2, Vol. 3 ISBN 9781108002929
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Cours d'analyse de l'ecole royale polytechnique
- Analyse algebrique
- Table des matieres du tome troisieme de la seconde serie.
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Ser. 2, Vol. 4 ISBN 9781108003162
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Resume des lecons donnees a l'ecole polytechnique sur le calcul infinitesimal
- Table des matieres du tome quatrieme de la seconde serie.
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Ser. 2, Vol. 5 ISBN 9781108003186
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Lecons sur les applications du calcul infinitesimal a la geometrie
- Table des matieres du tome cinquieme de la seconde serie.
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Ser. 2, Vol. 6 ISBN 9781108003193
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- 1. Sur l'analyse des sections angulaires
- 2. Sur un nouveau genre de calcul
- 3. Sur les formules de Taylor et de Maclaurin
- 4. Sur la resultante
- 5. Application du calcul
- 6. Sur une formule
- 7. Sur un nouveau genre d'integrales
- 8. Sur les moments lineaires
- 9. De l'influence
- 10. Sur diverses relations
- 11. Demonstration d'un theoreme
- 12. Sur les moments lineaires
- 13. Usage des moments lineaires
- 14. Sur quelques formules
- 15. Sur un theoreme
- 16. Sur les divers ordres de quantites infiniment petits
- 17. Sur les conditions d'equivalence
- 18. Usage des moments lineaires
- 19. Sur un theoreme d'analyse
- 20. Sur quelques transformations
- 21. Sur les divers ordres de contact
- 22. Application du calcul
- 23. Sur les limites
- 24. Sur la resolution
- 25. Application du calcul
- 26. Demonstration du theoreme de Fermat
- 27. Sur la nature des racines
- 28. Usage du calcul des residus.
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Ser. 2, Vol. 7 ISBN 9781108003209
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Exercises de Mathematiques (anciens exercises) annee 1827
- Table des matieres du tome septieme de la seconde serie.
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Ser. 2, Vol. 8 ISBN 9781108003216
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Exercises de Mathematiques (anciens exercises) annee 1828
- Table des matieres du tome huitieme de la seconde serie.
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Ser. 2, Vol. 9 ISBN 9781108003223
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Exercises de Mathematiques (anciens exercises) annee 1829
- Exercises de Mathematiques (anciens exercises) annee 1830
- Table des matieres du tome neuvieme de la seconde serie.
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Ser. 2, Vol. 10 ISBN 9781108003230
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Resumes analytiques de Turin
- Nouveaux exercises de mathematiques, exercises de Prague
- Table des matieres du tome dixieme de la seconde serie.
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Ser. 2, Vol. 11 ISBN 9781108003247
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Exercises d'Analyse et de Physique mathematique
- Table des matieres du tome onzieme de la seconde serie.
- 巻冊次
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Ser. 2, Vol. 12 ISBN 9781108003254
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Exercises d'Analyse et de Physique mathematique
- Table des matieres du tome douzieme de la seconde serie.
- 巻冊次
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Ser. 2, Vol. 13 ISBN 9781108003261
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- 1. Memoire sur l'analyse infinitesimale
- 2. Memoire sur le calcul des variations
- 3. Sur le mouvement de rotation variable d'un point qui represente, dans un plan donne, la projection d'un autre point doue, dans l'espace, d'un mouvement de rotation uniforme autour d'un certain axe
- 4. Note sur un theoreme de geometrie analytique
- 5. Note sur quelques propositions relatives a la theorie des nombres
- 6. Memoire sur les arrangements que l'on peut former avec des lettres donnees, et sur les permutations et substitutions a l'aide desquelles on passe d'un arrangement a un autre
- 7. Memoire sur les lignes qui divisent en parties egales les angles formes par deux droites, et sur la rotation d'une droite mobile dans l'espace
- 8. Memoire sur quelques proprietes des resultantes a deux termes
- 9. Memoire sur la theorie des projections orthogonales
- 10. Memoire sur les fonctions de variables imaginaires
- Note sur les modules des series
- Table des matieres du tome treizieme de la seconde serie.
- 巻冊次
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Ser. 2, Vol. 14 ISBN 9781108003278
内容説明
Augustin-Louis, Baron Cauchy (1789-1857) was the pre-eminent French mathematician of the nineteenth century. He began his career as a military engineer during the Napoleonic Wars, but even then was publishing significant mathematical papers, and was persuaded by Lagrange and Laplace to devote himself entirely to mathematics. His greatest contributions are considered to be the Cours d'analyse de l'Ecole Royale Polytechnique (1821), Resume des lecons sur le calcul infinitesimal (1823) and Lecons sur les applications du calcul infinitesimal a la geometrie (1826-8), and his pioneering work encompassed a huge range of topics, most significantly real analysis, the theory of functions of a complex variable, and theoretical mechanics. Twenty-six volumes of his collected papers were published between 1882 and 1958. The first series (volumes 1-12) consists of papers published by the Academie des Sciences de l'Institut de France; the second series (volumes 13-26) of papers published elsewhere.
目次
- Exercises d'Analyse et de Physique mathematique
- Table des matieres du tome quatrieme de la seconde serie.
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