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Collection History of Mathematics
- Editeur : American Mathematical Society
- ISSN : 0899-2428
Documents disponibles dans la collection
Affiner la recherche Interroger des sources externesEssays in the history of Lie groups and algebraic groups (Cop. 2001) / Armand BOREL
Titre : Essays in the history of Lie groups and algebraic groups Type de document : texte imprimé Auteurs : Armand BOREL, Auteur Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : Cop. 2001 Collection : History of Mathematics, ISSN 0899-2428 num. 21 Importance : XII-184 p. ISBN/ISSN/EAN : 978-0-8218-0288-5 Langues : Anglais (eng) Mots-clés : histoire des mathématiques groupe de Lie groupe algébrique Résumé : Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools in the theory of automorphic forms. The author looks at their development, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. Starting from Lie's theory of local analytic transformation groups and early work on Lie algebras, he follows the process of globalization in its two main frameworks: differential geometry and topology on one hand, algebraic geometry on the other. Chapters II to IV are devoted to the former, Chapters V to VIII, to the latter. Note de contenu : index, références Essays in the history of Lie groups and algebraic groups [texte imprimé] / Armand BOREL, Auteur . - American Mathematical Society, Cop. 2001 . - XII-184 p.. - (History of Mathematics, ISSN 0899-2428; 21) .
ISBN : 978-0-8218-0288-5
Langues : Anglais (eng)
Mots-clés : histoire des mathématiques groupe de Lie groupe algébrique Résumé : Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools in the theory of automorphic forms. The author looks at their development, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. Starting from Lie's theory of local analytic transformation groups and early work on Lie algebras, he follows the process of globalization in its two main frameworks: differential geometry and topology on one hand, algebraic geometry on the other. Chapters II to IV are devoted to the former, Chapters V to VIII, to the latter. Note de contenu : index, références Réservation
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Code-barres Cote Support Localisation Section Disponibilité 19597 BOR/01/7910 Livre Recherche Salle Disponible Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer (Cop. 1999) / Charles W. CURTIS
Titre : Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer Type de document : texte imprimé Auteurs : Charles W. CURTIS, Auteur Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : Cop. 1999 Collection : History of Mathematics, ISSN 0899-2428 num. 15 Importance : XVI-287 p. ISBN/ISSN/EAN : 978-0-8218-2677-5 Langues : Anglais (eng) Catégories : 01A55
01A60
20C15
20C20Mots-clés : représentation des groupes groupe fini histoire des mathématiques Note de contenu : index, bibliogr. Pioneers of representation theory : Frobenius, Burnside, Schur, and Brauer [texte imprimé] / Charles W. CURTIS, Auteur . - American Mathematical Society, Cop. 1999 . - XVI-287 p.. - (History of Mathematics, ISSN 0899-2428; 15) .
ISBN : 978-0-8218-2677-5
Langues : Anglais (eng)
Catégories : 01A55
01A60
20C15
20C20Mots-clés : représentation des groupes groupe fini histoire des mathématiques Note de contenu : index, bibliogr. Réservation
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Code-barres Cote Support Localisation Section Disponibilité 17032 CUR/01/7397 a Livre Recherche Salle Disponible 18143 CUR/01/7397 b Livre Recherche Salle Disponible
Titre : A history of analysis Type de document : texte imprimé Auteurs : Hans Niels JAHNKE, Editeur scientifique Editeur : Providence, R. I. [Etats Unis] : American Mathematical Society Année de publication : 2003 Collection : History of Mathematics, ISSN 0899-2428 num. 24 Importance : 422 p. ISBN/ISSN/EAN : 978-0-8218-2623-2 Langues : Anglais (eng) Catégories : 01A05
26-03
28-03Mots-clés : histoire épistémologie analyse Résumé : Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. Note de contenu : index, bibliogr. En ligne : http://www.ams.org/bookstore-getitem/item=hmath-24 A history of analysis [texte imprimé] / Hans Niels JAHNKE, Editeur scientifique . - American Mathematical Society, 2003 . - 422 p.. - (History of Mathematics, ISSN 0899-2428; 24) .
ISBN : 978-0-8218-2623-2
Langues : Anglais (eng)
Catégories : 01A05
26-03
28-03Mots-clés : histoire épistémologie analyse Résumé : Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. Note de contenu : index, bibliogr. En ligne : http://www.ams.org/bookstore-getitem/item=hmath-24 Réservation
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Code-barres Cote Support Localisation Section Disponibilité i1205 JAH/IREM/H-E Livre IREM Salle Disponible