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Elements of Mathematics Functions of a Real Variable: Elementary Theory (Elements De Mathematique) - Hardcover
Inhaltsangabe
This is an English translation of Bourbaki’s Fonctions d’une Variable Réelle. Coverage includes: 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.
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From the reviews:
"Nicolas Bourbaki is the name given to a collaboration of mainly French mathematicians who wrote a series of textbooks that started from basics and aimed to present a complete picture of all essential mathematics. ... The Elements of Mathematics series is the result of this project. ... The translation is true to the original. ... should be part of any good library of mathematics books." (Partrick Quill, The Mathematical Gazette, March, 2005)
"The book under review is the latest installment in the translation into English of the voluminous Bourbaki exercise. ... Respectable mathematics libraries should have this book on their shelves. ... the book may be judged as an unqualified intellectual success and the publisher and the translator are to be congratulated on making it available in English." (Barry D.Hughes, The Australian Mathematical Society Gazette, Vol. 43 (1), 2005)
Reseña del editor
This is an English translation of Bourbaki’s Fonctions d'une Variable Réelle. Coverage includes: 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.
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Functions of a Real Variable : Elementary Theory
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Functions of a Real Variable (Hardcover)
ISBN 10: 3540653406
ISBN 13: 9783540653400
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Hardcover. Zustand: new. Hardcover. This book is an English translation of the last French edition of Bourbakis Fonctions d'une Variable Reelle.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. Includes functions allowed to take values in topological vector spaces, asymptotic expansions are treated on a filtered set equipped with a comparison scale, and theorems on the dependence on parameters of differential equations that are directly applicable to the study of flows of vector fields on differential manifolds. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Bestandsnummer des Verkäufers 9783540653400
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Functions of a Real Variable
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Functions of a Real Variable : Elementary Theory
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Functions of a Real Variable: Elementary Theory
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Functions of a Real Variable
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Springer Berlin Heidelberg Sep 2003, 2003
ISBN 10: 3540653406
ISBN 13: 9783540653400
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783540653400
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Elements of Mathematics Functions of a Real Variable
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Functions of a Real Variable
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hardcover. Zustand: New. In shrink wrap. Looks like an interesting title! Bestandsnummer des Verkäufers Q-3540653406
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Functions of a Real Variable
ISBN 10: 3540653406
ISBN 13: 9783540653400
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Hardback. Zustand: 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. Bestandsnummer des Verkäufers LU-9783540653400
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Functions of a Real Variable
ISBN 10: 3540653406
ISBN 13: 9783540653400
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Hardcover
Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland
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Buch. Zustand: 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. Bestandsnummer des Verkäufers 9783540653400
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