Articles liés à Functions of a Real Variable: Elementary Theory
Synopsis
This book is an English translation of the last French edition of Bourbaki's Fonctions d'une Variable Réelle.
The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to thestudy of the Gamma function on the real line as well as on the complex plane.
Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
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Elements of Mathematics: Functions of a Real Variable: Elementary Theory
Edité par
Springer, Berlin, 2004
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Ancien ou d'occasion
Couverture rigide
Vendeur : PsychoBabel & Skoob Books, Didcot, Royaume-Uni
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Hardcover. Etat : Very Good. Etat de la jaquette : No Dust Jacket. Hard cover, no jacket, in very good condition. From the collection of a London Professor of Mathematics, (ret'd.). Light tanning to boards and minor blemish to pageblock, otherwise in 'as unread' condition. CN. N° de réf. du vendeur 616132
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Elements of Mathematics Functions of a Real Variable
Edité par
Springer Berlin Heidelberg, 2003
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Neuf
Couverture rigide
Vendeur : moluna, Greven, Allemagne
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Gebunden. Etat : New. N° de réf. du vendeur 4897175
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Functions of a Real Variable
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
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Etat : New. In. N° de réf. du vendeur ria9783540653400_new
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Functions of a Real Variable : Elementary Theory
Edité par
Springer Berlin Heidelberg, 2003
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Neuf
Couverture rigide
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.Ce Livre est le quatrième du traité ; il est consacré aux bases de l analyse réelle. Il comprend les chapitres: 1. Dérivées; 2. Primitives et intégrales; 3. Fonctions élémentaires; 4. Équations différentielles; 5. Étude locale des fonctions; 6. Développements tayloriens généralisés. 7. Formule sommatoire d Euler-Maclaurin; 8. La function gamma.Il contient également des notes historiques.Ce volume est une réimpression de l édition de 1976. N° de réf. du vendeur 9783540653400
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Functions of a Real Variable
Edité par
Springer Berlin Heidelberg Sep 2003, 2003
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Neuf
Couverture rigide
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Les Éléments de mathématique de Nicolas Bourbaki ont pour objet une présentation rigoureuse, systématique et sans prérequis des mathématiques depuis leurs fondements.Ce Livre est le quatrième du traité ; il est consacré aux bases de l analyse réelle. Il comprend les chapitres: 1. Dérivées; 2. Primitives et intégrales; 3. Fonctions élémentaires; 4. Équations différentielles; 5. Étude locale des fonctions; 6. Développements tayloriens généralisés. 7. Formule sommatoire d Euler-Maclaurin; 8. La function gamma.Il contient également des notes historiques.Ce volume est une réimpression de l édition de 1976. 356 pp. Englisch. N° de réf. du vendeur 9783540653400
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Functions of a Real Variable
Edité par
Springer Berlin Heidelberg, Springer Berlin Heidelberg Sep 2003, 2003
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Neuf
Couverture rigide
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Buch. Etat : Neu. Neuware -This book is an English translation of the last French edition of Bourbaki¿s Fonctions d'une Variable Réelle.The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to thestudy of the Gamma function on the real line as well as on the complex plane.Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 356 pp. Englisch. N° de réf. du vendeur 9783540653400
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Functions of a Real Variable
Vendeur : California Books, Miami, FL, Etats-Unis
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Etat : New. N° de réf. du vendeur I-9783540653400
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Functions of a Real Variable
Edité par
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2003
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Neuf
Couverture rigide
Vendeur : Rarewaves.com UK, London, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. 2004 ed. This book is an English translation of the last French edition of Bourbaki's Fonctions d'une Variable Réelle.The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to thestudy of the Gamma function on the real line as well as on the complex plane.Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc. N° de réf. du vendeur LU-9783540653400
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Functions of a Real Variable
Edité par
Springer-Verlag Berlin and Heidelberg GmbH and Co. KG, DE, 2003
ISBN 10 : 3540653406
ISBN 13 : 9783540653400
Neuf
Couverture rigide
Vendeur : Rarewaves.com USA, London, LONDO, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Hardback. Etat : New. 2004 ed. This book is an English translation of the last French edition of Bourbaki's Fonctions d'une Variable Réelle.The first chapter is devoted to derivatives, Taylor expansions, the finite increments theorem, convex functions. In the second chapter, primitives and integrals (on arbitrary intervals) are studied, as well as their dependence with respect to parameters. Classical functions (exponential, logarithmic, circular and inverse circular) are investigated in the third chapter. The fourth chapter gives a thorough treatment of differential equations (existence and unicity properties of solutions, approximate solutions, dependence on parameters) and of systems of linear differential equations. The local study of functions (comparison relations, asymptotic expansions) is treated in chapter V, with an appendix on Hardy fields. The theory of generalized Taylor expansions and the Euler-MacLaurin formula are presented in the sixth chapter, and applied in the last one to thestudy of the Gamma function on the real line as well as on the complex plane.Although the topics of the book are mainly of an advanced undergraduate level, they are presented in the generality needed for more advanced purposes: functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, theorems on the dependence on parameters of differential equations are directly applicable to the study of flows of vector fields on differential manifolds, etc. N° de réf. du vendeur LU-9783540653400
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Functions of a Real Variable
Vendeur : BennettBooksLtd, North Las Vegas, NV, Etats-Unis
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hardcover. Etat : New. In shrink wrap. Looks like an interesting title! N° de réf. du vendeur Q-3540653406
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