Documents disponibles dans la collection

Eléments d'analyse fonctionnelle / Francis Hirsch ; Gilles Lacombe

Public ISBD Titre : Eléments d'analyse fonctionnelle : cours et exercices Type de document : texte imprimé Auteurs : Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur Editeur : Berlin : Springer-Verlag Année de publication : 1999 Collection : Graduate texts in mathematics Importance : IX-359 p. Format : 24 cm ISBN/ISSN/EAN : 978-0-387-98524-4 Note générale : Bibliogr. Index. Langues : Anglais (eng) Mots-clés : Analyse  fonctionnelle Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques Résumé : The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics. Note de contenu : I Function Spaces and their Duals The Space of Continuous Functions on a Compact Set Locally Compact Spaces and Radon Measures Hilbert Spaces L[superscript p] Spaces II Operators Spectra Compact Operators III Distributions Definitions and Examples Multiplication and Differentiation Convolution of Distributions The Laplacian on an Open Set Eléments d'analyse fonctionnelle : cours et exercices [texte imprimé] / Francis Hirsch, Auteur ; Gilles Lacombe, Auteur ; Silvio Levy, Traducteur . - Springer-Verlag, 1999 . - IX-359 p. ; 24 cm. - (Graduate texts in mathematics) . ISBN : 978-0-387-98524-4 Bibliogr. Index. Langues : Anglais (eng) Mots-clés : Analyse  fonctionnelle Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques Résumé : The authors' goal in this book on functional analysis is to introduce the reader to the theory of distributions, differential operators, and Sobolev spaces. Along the way, the reader is presented.with a truly remarkable assortment of well formulated interesting and solved exercises which test the understanding as well as point out many related topics. Note de contenu : I Function Spaces and their Duals The Space of Continuous Functions on a Compact Set Locally Compact Spaces and Radon Measures Hilbert Spaces L[superscript p] Spaces II Operators Spectra Compact Operators III Distributions Definitions and Examples Multiplication and Differentiation Convolution of Distributions The Laplacian on an Open Set

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046779	517.548 HIR	Papier	Bibliothèque Centrale	Mathématiques	Disponible

Partial differential equations / Jürgen Jost

Public ISBD Titre : Partial differential equations Type de document : texte imprimé Auteurs : Jürgen Jost, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Graduate texts in mathematics Importance : XI-325 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-95428-8 Note générale : With 10 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Équations  aux  dérivées  partielles Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations Note de contenu : - Introduction The Laplace equation as the prototype of an elliptic partial differential equation of 2nd order - The maximum principle - Existence techniques I: methods based on the maximum principle - Existence techniques II: Parabolic methods. The Head equation - The wave equation and its connections with the Laplace and heat equation - The heat equation, semigroups, and Brownian motion - The Dirichlet principle. Variational methods for the solution of PDE (Existence techniques III) - Sobolev spaces and L2 regularity theory - Strong solutions ... Partial differential equations [texte imprimé] / Jürgen Jost, Auteur . - Springer-Verlag, 2002 . - XI-325 p. : ill. ; 25 cm. - (Graduate texts in mathematics) . ISBN : 978-0-387-95428-8 With 10 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Équations  aux  dérivées  partielles Index. décimale : 517.911 Questions générales. Théorèmes d'existence. Théorèmes d'unicité. Différentiabilité des solutions Résumé : This book is intended for students who wish to get an introduction to the theory of partial differential equations. The author focuses on elliptic equations and systematically develops the relevant existence schemes, always with a view towards nonlinear problems. These are maximum principle methods (particularly important for numerical analysis schemes), parabolic equations, variational methods, and continuity methods. This book also develops the main methods for obtaining estimates for solutions of elliptic equations: Sobolev space theory, weak and strong solutions, Schauder estimates, and Moser iteration. Connections between elliptic, parabolic, and hyperbolic equations are explored, as well as the connection with Brownian motion and semigroups. This book can be utilized for a one-year course on partial differential equations Note de contenu : - Introduction The Laplace equation as the prototype of an elliptic partial differential equation of 2nd order - The maximum principle - Existence techniques I: methods based on the maximum principle - Existence techniques II: Parabolic methods. The Head equation - The wave equation and its connections with the Laplace and heat equation - The heat equation, semigroups, and Brownian motion - The Dirichlet principle. Variational methods for the solution of PDE (Existence techniques III) - Sobolev spaces and L2 regularity theory - Strong solutions ...

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046788	517.911 JOS	Papier	Bibliothèque Centrale	Mathématiques	Disponible

Differential geometry / Richard W. Sharpe

Public ISBD Titre : Differential geometry : cartan's generalization of klein's erlangen program Type de document : texte imprimé Auteurs : Richard W. Sharpe, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 1997 Collection : Graduate texts in mathematics num. 166 Importance : XIX-421 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-94732-7 Note générale : With 104 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Geometry,  Differential Géométrie  différentielle Index. décimale : 514.7 Géométrie différentielle. Méthodes algébriques et analytiques en géométrie Résumé : This text presents a systematic and well-motivated development of differential geometry leading to the global version of Cartan connections. The material is presented at a level accessible to a first-year graduate student. The first four chapters provide a complete development of the fundamentals of differential topology, foliations, Lie groups, and homogeneous spaces. Chapter 5 studies Cartan geometries which generalize homogeneous spaces in the same way that Riemannian geometry generalizes Euclidean geometry. One of the beautiful facets of Cartan geometries is that curvature appears as an exact local measurement of "broken symmetry." The last three chapters study Riemannian geometry, conformal geometry, and projective geometry. Topics included in the five appendices are a comparison of Cartan and Ehresmann connections, and the derivation of the divergence and curl operators from symmetry considerations Note de contenu : - In the Ashes of the Ether: Differential Topology - Looking for the Forest in the Leaves: Folations - The Fundamental Theorem of Calculus - Shapes Fantastic: Klein Geometries - Shapes High Fantastical: Cartan Geometries - Riemannian Geometry - Mobius Geometry - Projective Geometry Differential geometry : cartan's generalization of klein's erlangen program [texte imprimé] / Richard W. Sharpe, Auteur . - Springer-Verlag, 1997 . - XIX-421 p. : ill. ; 25 cm. - (Graduate texts in mathematics; 166) . ISBN : 978-0-387-94732-7 With 104 ill. Bibliogr. Index Langues : Anglais (eng) Mots-clés : Geometry,  Differential Géométrie  différentielle Index. décimale : 514.7 Géométrie différentielle. Méthodes algébriques et analytiques en géométrie Résumé : This text presents a systematic and well-motivated development of differential geometry leading to the global version of Cartan connections. The material is presented at a level accessible to a first-year graduate student. The first four chapters provide a complete development of the fundamentals of differential topology, foliations, Lie groups, and homogeneous spaces. Chapter 5 studies Cartan geometries which generalize homogeneous spaces in the same way that Riemannian geometry generalizes Euclidean geometry. One of the beautiful facets of Cartan geometries is that curvature appears as an exact local measurement of "broken symmetry." The last three chapters study Riemannian geometry, conformal geometry, and projective geometry. Topics included in the five appendices are a comparison of Cartan and Ehresmann connections, and the derivation of the divergence and curl operators from symmetry considerations Note de contenu : - In the Ashes of the Ether: Differential Topology - Looking for the Forest in the Leaves: Folations - The Fundamental Theorem of Calculus - Shapes Fantastic: Klein Geometries - Shapes High Fantastical: Cartan Geometries - Riemannian Geometry - Mobius Geometry - Projective Geometry

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Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046778	514.7 SHA	Papier	Bibliothèque Centrale	Mathématiques	Disponible

Algebra / Serge Lang

Public ISBD Titre : Algebra Type de document : texte imprimé Auteurs : Serge Lang, Auteur Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Graduate texts in mathematics num. 211 Importance : XV-914 p. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-95385-4 Note générale : Bibliogr. p. 895-901. Index Langues : Anglais (eng) Mots-clés : Algèbre Algèbre  --  Problèmes  et  exercices Index. décimale : 512 Algèbre Résumé : his book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Note de contenu : Groups Rings Modules Polynomials Algebraic Equations Galois Theory Extensions of Rings Transcendental Extensions Algebraic Spaces Noetherian Rings and Modules Real Fields Absolute Values Matrices and Linear Maps Representation of One Endomorphism ... Algebra [texte imprimé] / Serge Lang, Auteur . - Springer-Verlag, 2002 . - XV-914 p. ; 25 cm. - (Graduate texts in mathematics; 211) . ISBN : 978-0-387-95385-4 Bibliogr. p. 895-901. Index Langues : Anglais (eng) Mots-clés : Algèbre Algèbre  --  Problèmes  et  exercices Index. décimale : 512 Algèbre Résumé : his book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. It successfully addresses the basic concepts of algebra. For the revised third edition, the author has added exercises and made numerous corrections to the text. Note de contenu : Groups Rings Modules Polynomials Algebraic Equations Galois Theory Extensions of Rings Transcendental Extensions Algebraic Spaces Noetherian Rings and Modules Real Fields Absolute Values Matrices and Linear Maps Representation of One Endomorphism ...

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046774	512 LAN	Papier	Bibliothèque Centrale	Mathématiques	Disponible	Consultation sur place

A course in functional analysis / John B Conway

Public ISBD Titre : A course in functional analysis Type de document : texte imprimé Auteurs : John B Conway, Auteur Mention d'édition : 2 éd Editeur : Berlin : Springer-Verlag Année de publication : 1990 Collection : Graduate texts in mathematics num. 96 Importance : XVI-399 p. Format : 24 cm ISBN/ISSN/EAN : 978-0-387-97245-9 Note générale : Bibliogr. p. [384]-389. Index Langues : Anglais (eng) Mots-clés : Functional  analysis Analyse  fonctionnelle Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques Résumé : This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included. Note de contenu : - Hilbert spaces - Operators on hilbert space - Banach spaces - Locally convex spaces - Weak topologies - Linear operators on banach space - Banach Algebras and spectral theory for operators on banach space - Algebras - Normal operties on hilbert space - Unbounded operators A course in functional analysis [texte imprimé] / John B Conway, Auteur  . -  2 éd . - Springer-Verlag, 1990 . - XVI-399 p. ; 24 cm. - (Graduate texts in mathematics; 96) . ISBN : 978-0-387-97245-9 Bibliogr. p. [384]-389. Index Langues : Anglais (eng) Mots-clés : Functional  analysis Analyse  fonctionnelle Index. décimale : 517.548 Fonctions analytiques généralisées. Reprisentations quasi-conformes. Classes quasi-analytiques. Fonctions pseudo-analytiques. Fonctions monogènes. Matrices analytiques Résumé : This book is an introductory text in functional analysis, aimed at the graduate student with a firm background in integration and measure theory. Unlike many modern treatments, this book begins with the particular and works its way to the more general, helping the student to develop an intuitive feel for the subject. For example, the author introduces the concept of a Banach space only after having introduced Hilbert spaces, and discussing their properties. The student will also appreciate the large number of examples and exercises which have been included. Note de contenu : - Hilbert spaces - Operators on hilbert space - Banach spaces - Locally convex spaces - Weak topologies - Linear operators on banach space - Banach Algebras and spectral theory for operators on banach space - Algebras - Normal operties on hilbert space - Unbounded operators

Exemplaires

Code-barres	Cote	Support	Localisation	Section	Disponibilité	Etat_Exemplaire
046772	517.548 CON	Papier	Bibliothèque Centrale	Mathématiques	Disponible