Foundations of abstract analysis

Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-st...

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Gorde:
Xehetasun bibliografikoak
Egile nagusia: Dshalalow, Jewgeni H.
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: New York, NY : Springer New York 2013.
Cham : Springer Nature
Sarrera elektronikoa:Accès sur la plateforme de l'éditeur
Accès sur la plateforme Istex
Accès Université d'Orléans
Accès INSA CVL
Oharra: Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Autres localisations: Voir dans le Sudoc
Edition sous un autre format:• Foundations of Abstract Analysis, Texte imprimé, 9781461459613
• Foundations of Abstract Analysis, Texte imprimé, 9781461459637
• Foundations of Abstract Analysis, Texte imprimé, 9781493943883
• Foundations of Abstract Analysis, Texte imprimé, 9781071605110
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100 1 |a Dshalalow, Jewgeni H. 
245 1 0 |a Foundations of abstract analysis   |c by Jewgeni H. Dshalalow. 
260 |a New York, NY :  |b Springer New York. 
260 |a Cham :  |b Springer Nature,  |c 2013. 
500 |a Archives Springer e-books (Licence nationale) 
500 |a Archives Springer e-books (Licence nationale) 
505 0 |a Set-Theoretic and Algebraic Preliminaries -- Analysis of Metric Spaces -- Elements of Point-Set Topology.-Measurable Spaces and Measurable Functions -- Measures -- Integration in Abstract Spaces -- Solutions to Selected Problems -- Bibliography.-List of Symbols.-Index of Names and Terms. 
506 |a Accès en ligne pour les établissements français bénéficiaires des licences nationales 
506 |a Accès soumis à abonnement pour tout autre établissement 
506 |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. chttps://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 
520 |a Foundations of Abstract Analysis is the first of a two book series offered as the second (expanded) edition to the previously published text Real Analysis. It is written for a graduate-level course on real analysis and presented in a self-contained way suitable both for classroom use and for self-study.   While this book carries the rigor of advanced modern analysis texts, it elaborates the material in much greater details and therefore fills a gap between introductory level texts (with topics developed in Euclidean spaces) and advanced level texts (exclusively dealing with abstract spaces) making it accessible for a much wider interested audience.    To relieve the reader of the potential overload of new words, definitions, and concepts, the book (in its unique feature) provides lists of new terms at the end of each section, in a chronological order. Difficult to understand abstract notions are preceded by informal discussions and blueprints followed by thorough details and supported by examples and figures. To further reinforce the text, hints and solutions to almost a half of more than 580 problems are provided at the end of the book, still leaving ample exercises for assignments. This volume covers topics in point-set topology and measure and integration. Prerequisites include advanced calculus, linear algebra, complex variables, and calculus based probability. 
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776 0 |t Foundations of Abstract Analysis  |b Texte imprimé  |z 9781461459637 
776 0 |t Foundations of Abstract Analysis  |b Texte imprimé  |z 9781493943883 
776 0 |t Foundations of Abstract Analysis  |b Texte imprimé  |z 9781071605110 
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