| Titre : |
Introduction to Modern Analysis |
| Type de document : |
texte imprimé |
| Auteurs : |
Shmuel Kantorovitz (1935-....), Auteur ; Ami Viselter, Auteur |
| Mention d'édition : |
Second edition. |
| Editeur : |
Oxford : Oxford University Press |
| Collection : |
Oxford graduate texts in mathematics num. 29 |
| Importance : |
1 vol. (XIII-566 p.) |
| Présentation : |
couv.coul. |
| Format : |
24 cm |
| ISBN/ISSN/EAN : |
978-0-19-284955-7 |
| Note générale : |
Bibliogr. p. 549-552. Index |
| Langues : |
Anglais (eng) |
| Catégories : |
51 Mathématiques :517 Analyse mathématique :517.5 Théorie des fonctions
|
| Tags : |
Functional analysis Hilbert spaces Banach spaces Operator theory Real analysis Spectral theory Topology Measure and integration Distributions Differential calculus Differential equations Complex analysis Function theory Continuous linear mappings. |
| Index. décimale : |
517.5 Théorie des fonctions |
| Résumé : |
This textbook provides an introduction to modern analysis aimed at advanced undergraduate and graduate-level students of mathematics. Professional academics will also find this to be a useful reference work. It covers measure theory, basic functional analysis, single operator theory, spectral theory of bounded and unbounded operators, semigroups of operators, and Banach algebras. Further, this new edition of the textbook also delves deeper into C*-algebras and their standard constructions, von Neumann algebras, probability and mathematical statistics, and partial differential equations. Most chapters contain relatively advanced topics alongside simpler ones, starting from the very basics of modern analysis and slowly advancing to more involved topics. The text is supplemented by many exercises, to allow readers to test their understanding and practical analysis skills |
Introduction to Modern Analysis [texte imprimé] / Shmuel Kantorovitz (1935-....), Auteur ; Ami Viselter, Auteur . - Second edition. . - Oxford : Oxford University Press, [s.d.] . - 1 vol. (XIII-566 p.) : couv.coul. ; 24 cm. - ( Oxford graduate texts in mathematics; 29) . ISBN : 978-0-19-284955-7 Bibliogr. p. 549-552. Index Langues : Anglais ( eng)
| Catégories : |
51 Mathématiques :517 Analyse mathématique :517.5 Théorie des fonctions
|
| Tags : |
Functional analysis Hilbert spaces Banach spaces Operator theory Real analysis Spectral theory Topology Measure and integration Distributions Differential calculus Differential equations Complex analysis Function theory Continuous linear mappings. |
| Index. décimale : |
517.5 Théorie des fonctions |
| Résumé : |
This textbook provides an introduction to modern analysis aimed at advanced undergraduate and graduate-level students of mathematics. Professional academics will also find this to be a useful reference work. It covers measure theory, basic functional analysis, single operator theory, spectral theory of bounded and unbounded operators, semigroups of operators, and Banach algebras. Further, this new edition of the textbook also delves deeper into C*-algebras and their standard constructions, von Neumann algebras, probability and mathematical statistics, and partial differential equations. Most chapters contain relatively advanced topics alongside simpler ones, starting from the very basics of modern analysis and slowly advancing to more involved topics. The text is supplemented by many exercises, to allow readers to test their understanding and practical analysis skills |
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