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Titre : Functional analysis Type de document : texte imprimé Auteurs : Peter Lax, Auteur Editeur : Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley Année de publication : 2002, cop. 2022 Autre Editeur : London ; New York ; Sydney : Wiley-Interscience Collection : Pure and applied mathematics, ISSN 0079-8185 Importance : 1 vol. (XIX-580 p.) Présentation : couv. ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-471-55604-6 Note générale : Sommaire (abrégé) : Foreword. Linear Spaces. Linear Maps. The Hahn-Banach Theorem. Applications of the Hahn-Banach Theorem. Normed Linear Spaces. Hilbert Space. Applications of Hilbert Space Results. Duals of Normed Linear Space. Applications of Duality. Weak Convergence. Applications of Weak Convergence. The Weak and Weak* Topologies. Locally Convex Topologies and the Krein-Milman Theorem. Examples of Convex Sets and their Extreme Points. Bounded Linear Maps. Examples of Bounded Linear Maps. Banach Algebras and their Elementary Spectral Theory. Gelfand's Theory of Commutative Banach Algebras. Applications of Gelfand's Theory of Commutative Banach Algebras. Examples of Operators and their Spectra. Compact Maps. Examples of Compact Operators. Positive Compact Operators. Fredholm's Theory of Integral Equations. Invariant Subspaces. Harmonic Analysis on a Halfline. Index Theory. Compact Symmetric Operators in Hilbert Space. Examples of Compact Symmetric Operators.Trace Class and Trace Formula. Spectral Theory of Symmetric, Normal and Unitary Operators. Spectral Theory of Self-Adjoint Operators. Examples of Self-Adjoint Operators. Semigroups of Operators. Groups of Unitary Operators. Examples of Strongly Continuous Semigroups. Scattering Theory. A Theorem of Beurling. Appendix A : The Riesz-Kakutani Representation Theorem. Appendix B : Theory of Distributions. Appendix C : Zorn's Lemma. -- ISBN : 0-471-55604-1 (rel.) .-- PPN 070341362 Langues : Anglais (eng) Tags : Analyse fonctionnelle Analyse fonctionnelle -- Problèmes et exercices Opérateurs, Théorie des Functional analysis Functional analysis -- Problems, exercises, etc. Operator theory Index. décimale : 515.7 Analyse fonctionnelle Résumé : Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. - Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. - Includes an appendix on the Riesz representation theorem (description Wiley)
Note de contenu : Contient des exercices. Bibliogr. en fin de chapitres. Index auteurs. Index sujets Functional analysis [texte imprimé] / Peter Lax, Auteur . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley : London ; New York ; Sydney : Wiley-Interscience, 2002, cop. 2022 . - 1 vol. (XIX-580 p.) : couv. ill. ; 25 cm. - (Pure and applied mathematics, ISSN 0079-8185) .
ISBN : 978-0-471-55604-6
Sommaire (abrégé) : Foreword. Linear Spaces. Linear Maps. The Hahn-Banach Theorem. Applications of the Hahn-Banach Theorem. Normed Linear Spaces. Hilbert Space. Applications of Hilbert Space Results. Duals of Normed Linear Space. Applications of Duality. Weak Convergence. Applications of Weak Convergence. The Weak and Weak* Topologies. Locally Convex Topologies and the Krein-Milman Theorem. Examples of Convex Sets and their Extreme Points. Bounded Linear Maps. Examples of Bounded Linear Maps. Banach Algebras and their Elementary Spectral Theory. Gelfand's Theory of Commutative Banach Algebras. Applications of Gelfand's Theory of Commutative Banach Algebras. Examples of Operators and their Spectra. Compact Maps. Examples of Compact Operators. Positive Compact Operators. Fredholm's Theory of Integral Equations. Invariant Subspaces. Harmonic Analysis on a Halfline. Index Theory. Compact Symmetric Operators in Hilbert Space. Examples of Compact Symmetric Operators.Trace Class and Trace Formula. Spectral Theory of Symmetric, Normal and Unitary Operators. Spectral Theory of Self-Adjoint Operators. Examples of Self-Adjoint Operators. Semigroups of Operators. Groups of Unitary Operators. Examples of Strongly Continuous Semigroups. Scattering Theory. A Theorem of Beurling. Appendix A : The Riesz-Kakutani Representation Theorem. Appendix B : Theory of Distributions. Appendix C : Zorn's Lemma. -- ISBN : 0-471-55604-1 (rel.) .-- PPN 070341362
Langues : Anglais (eng)
Tags : Analyse fonctionnelle Analyse fonctionnelle -- Problèmes et exercices Opérateurs, Théorie des Functional analysis Functional analysis -- Problems, exercises, etc. Operator theory Index. décimale : 515.7 Analyse fonctionnelle Résumé : Includes sections on the spectral resolution and spectral representation of self adjoint operators, invariant subspaces, strongly continuous one-parameter semigroups, the index of operators, the trace formula of Lidskii, the Fredholm determinant, and more. - Assumes prior knowledge of Naive set theory, linear algebra, point set topology, basic complex variable, and real variables. - Includes an appendix on the Riesz representation theorem (description Wiley)
Note de contenu : Contient des exercices. Bibliogr. en fin de chapitres. Index auteurs. Index sujets Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-010288 010288 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Sous sol-1-Ouvrages Sorti jusqu'au 29/11/2022
Titre : Linear algebra and its applications Type de document : texte imprimé Auteurs : Peter Lax, Auteur Mention d'édition : 2nd edition Editeur : Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley Année de publication : 2007 Collection : Pure and applied mathematics, ISSN 0079-8185 Importance : 1 vol. (ix-392 p.) Format : 25 cm ISBN/ISSN/EAN : 978-0-471-75156-4 Note générale : ". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematicians bookshelf." (source : American Mathematical Monthly) . -- PPN 12044030X Langues : Anglais (eng) Tags : Algebras, Linear Algèbre linéaire Index. décimale : 512.5 Algèbres linéaire, multilinéaire, multidimensionnelle Résumé : Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student–friendly additions that enhance the book?s accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up–to–date coverage of the topic, including :
The QR algorithm for finding the eigenvalues of a self–adjoint matrix
The Householder algorithm for turning self–adjoint matrices into tridiagonal form
The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space
Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov?s stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy?s elegant proof of Halmos? conjecture about the numerical range of matrices.Note de contenu : Bibliogr. en fin de chapitre. Index p.373-376 Linear algebra and its applications [texte imprimé] / Peter Lax, Auteur . - 2nd edition . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley, 2007 . - 1 vol. (ix-392 p.) ; 25 cm. - (Pure and applied mathematics, ISSN 0079-8185) .
ISBN : 978-0-471-75156-4
". . .recommended for the teacher and researcher as well as for graduate students. In fact, [it] has a place on every mathematicians bookshelf." (source : American Mathematical Monthly) . -- PPN 12044030X
Langues : Anglais (eng)
Tags : Algebras, Linear Algèbre linéaire Index. décimale : 512.5 Algèbres linéaire, multilinéaire, multidimensionnelle Résumé : Linear Algebra and Its Applications, Second Edition presents linear algebra as the theory and practice of linear spaces and linear maps with a unique focus on the analytical aspects as well as the numerous applications of the subject. In addition to thorough coverage of linear equations, matrices, vector spaces, game theory, and numerical analysis, the Second Edition features student–friendly additions that enhance the book?s accessibility, including expanded topical coverage in the early chapters, additional exercises, and solutions to selected problems. Beginning chapters are devoted to the abstract structure of finite dimensional vector spaces, and subsequent chapters address convexity and the duality theorem as well as describe the basics of normed linear spaces and linear maps between normed spaces. Further updates and revisions have been included to reflect the most up–to–date coverage of the topic, including :
The QR algorithm for finding the eigenvalues of a self–adjoint matrix
The Householder algorithm for turning self–adjoint matrices into tridiagonal form
The compactness of the unit ball as a criterion of finite dimensionality of a normed linear space
Additionally, eight new appendices have been added and cover topics such as: the Fast Fourier Transform; the spectral radius theorem; the Lorentz group; the compactness criterion for finite dimensionality; the characterization of commentators; proof of Liapunov?s stability criterion; the construction of the Jordan Canonical form of matrices; and Carl Pearcy?s elegant proof of Halmos? conjecture about the numerical range of matrices.Note de contenu : Bibliogr. en fin de chapitre. Index p.373-376 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-010281 010281 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Sous sol-1-Ouvrages Sorti jusqu'au 16/11/2022
Titre : Linear and non-linear waves Type de document : texte imprimé Auteurs : G. B. Whitham, Auteur Editeur : Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley Année de publication : 1974 Collection : Pure and applied mathematics, ISSN 0079-8185 Importance : XVI-636 p. Format : 23 cm ISBN/ISSN/EAN : 978-0-471-94090-6 Note générale : ISBN-10 : 0-471-94090-9 . - PPN 00481620X Langues : Anglais (eng) Tags : Nonlinear theories Wave-motion, Theory of Shock waves Théories non linéaires Mouvement ondulatoire, Théorie du Ondes de choc Index. décimale : 531.113 3 Ondes (ondes de choc) Note de contenu : Bibliogr. p. 621-628 Linear and non-linear waves [texte imprimé] / G. B. Whitham, Auteur . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley, 1974 . - XVI-636 p. ; 23 cm. - (Pure and applied mathematics, ISSN 0079-8185) .
ISBN : 978-0-471-94090-6
ISBN-10 : 0-471-94090-9 . - PPN 00481620X
Langues : Anglais (eng)
Tags : Nonlinear theories Wave-motion, Theory of Shock waves Théories non linéaires Mouvement ondulatoire, Théorie du Ondes de choc Index. décimale : 531.113 3 Ondes (ondes de choc) Note de contenu : Bibliogr. p. 621-628 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-NI-001800 001800 Ouvrages / Books OCA Bib. Nice Mont-Gros NI-Salle de lecture-Ouvrages Disponible
Titre : Optical data processing Type de document : texte imprimé Auteurs : Arnold Roy Shulman, Auteur Editeur : Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley Année de publication : cop. 1970 Collection : Pure and applied mathematics, ISSN 0079-8185 Importance : VIII-710 p. Format : 23 cm ISBN/ISSN/EAN : 978-0-471-78980-2 Note générale : ISBN : 0-471-78980-1 . - PPN 004587510 Langues : Anglais (eng) Tags : Traitement optique de l'information Optique Fourier, Transformations de Holographie Photographie Optical data processing Optics Fourier transformations Holography Index. décimale : 621.382 7 Communications optiques (technologie) Note de contenu : Bibliogr. : pp. 702-705 Optical data processing [texte imprimé] / Arnold Roy Shulman, Auteur . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley, cop. 1970 . - VIII-710 p. ; 23 cm. - (Pure and applied mathematics, ISSN 0079-8185) .
ISBN : 978-0-471-78980-2
ISBN : 0-471-78980-1 . - PPN 004587510
Langues : Anglais (eng)
Tags : Traitement optique de l'information Optique Fourier, Transformations de Holographie Photographie Optical data processing Optics Fourier transformations Holography Index. décimale : 621.382 7 Communications optiques (technologie) Note de contenu : Bibliogr. : pp. 702-705 Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-VV-000477 A4-477 Ouvrages / Books OCA Bib. Lagrange Nice Valrose VV-A4-Optique : Technique et Application Disponible
Titre : Ordinary differential equations Type de document : texte imprimé Auteurs : Jack Kenneth Hale, Auteur Editeur : Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley Année de publication : 1969 Autre Editeur : New York : Interscience Publishers Collection : Pure and applied mathematics, ISSN 0079-8185 num. 21 Importance : XVIII-332 p. Format : 24 cm ISBN/ISSN/EAN : 978-0-471-34090-4 Note générale : ISBN : 0-471-34090-1 Langues : Anglais (eng) Tags : Equations différentielles Differential equations Ordinary differential equations Index. décimale : 515.3 Calcul différentiel et équations différentielles Ordinary differential equations [texte imprimé] / Jack Kenneth Hale, Auteur . - Hoboken, NJ ; New York ; London ; Sydney ; Chichester : John Wiley : New York : Interscience Publishers, 1969 . - XVIII-332 p. ; 24 cm. - (Pure and applied mathematics, ISSN 0079-8185; 21) .
ISBN : 978-0-471-34090-4
ISBN : 0-471-34090-1
Langues : Anglais (eng)
Tags : Equations différentielles Differential equations Ordinary differential equations Index. décimale : 515.3 Calcul différentiel et équations différentielles Réservation
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Code-barres Cote Support Localisation Section Disponibilité Nom du donateur OCA-SA-G000049 M II-23 Ouvrages / Books OCA Bib. Géoazur Sophia-Antipolis SA-Salle-A214 Disponible
