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Real analysis and probability

Author: R M Dudley
Publisher: Cambridge ; New York : Cambridge University Press, 2002.
Series: Cambridge studies in advanced mathematics, 74.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:

This classic graduate textbook offers a clear exposition of modern probability theory and of the interplay between the properties of metric spaces and probability measures. The comprehensive  Read more...

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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: R M Dudley
ISBN: 052180972X 9780521809726 0521007542 9780521007542
OCLC Number: 50064478
Description: x, 555 pages ; 24 cm.
Contents: 1. Foundations: set theory --
2. General topology --
3. Measures --
4. Integration --
5. Lp spaces: introduction to functional analysis --
6. Convex sets and duality of normed spaces --
7. Measure, topology, and differentiation --
8. Introduction to probability theory --
9. Convergence of laws and central limit theorems --
10. Conditional expectations and martingales --
11. Convergence of laws on separable metric spaces --
12. Stochastic processes --
13. Measurability: Borel isomorphism and analytic sets --
Appendixes: A. Axiomatic set theory ; B. Complex numbers, vector spaces, and Taylor's theorem with remainder ; C. The problem of measure ; D. Rearranging sums of nonnegative terms ; E. Pathologies of compact nonmetric spaces.
Series Title: Cambridge studies in advanced mathematics, 74.
Responsibility: R.M. Dudley.
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'A marvellous work which will soon become a standard text in the field for both teaching and reference ... a complete and pedagogically perfect presentation of both the necessary preparatory material Read more...

 
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Primary Entity<\/h3>\n
<http:\/\/www.worldcat.org\/oclc\/50064478<\/a>> # Real analysis and probability<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Book<\/a>, schema:CreativeWork<\/a> ;\u00A0\u00A0\u00A0\nlibrary:oclcnum<\/a> \"50064478<\/span>\" ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/id.loc.gov\/vocabulary\/countries\/enk<\/a>> ;\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nlibrary:placeOfPublication<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Place\/cambridge<\/a>> ; # Cambridge<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/fonctions_de_variables_reelles<\/a>> ; # Fonctions de variables r\u00E9elles<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/wahrscheinlichkeitsrechnung<\/a>> ; # Wahrscheinlichkeitsrechnung<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Thing\/probabilidades<\/a>> ; # Probabilidades.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/estruturas_algebricas_e_topologicas<\/a>> ; # Estruturas alg\u00E9bricas e topologicas<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Thing\/analisis_matematico<\/a>> ; # An\u00E1lisis matem\u00E1tico.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Thing\/funciones_de_variables_reales<\/a>> ; # Funciones de variables reales.<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/probabilites<\/a>> ; # Probabilit\u00E9s<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1077737<\/a>> ; # Probabilities<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/dewey.info\/class\/515\/e21\/<\/a>> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/analyse_mathematique<\/a>> ; # Analyse math\u00E9matique<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/936120<\/a>> ; # Functions of real variables<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/probabilidade<\/a>> ; # Probabilidade<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/analysis<\/a>> ; # Analysis<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/reelle_funktion<\/a>> ; # Reelle Funktion<\/span>\n\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/id.worldcat.org\/fast\/1012068<\/a>> ; # Mathematical analysis<\/span>\n\u00A0\u00A0\u00A0\nschema:bookFormat<\/a> bgn:PrintBook<\/a> ;\u00A0\u00A0\u00A0\nschema:creator<\/a> <http:\/\/viaf.org\/viaf\/213486607<\/a>> ; # Richard M. Dudley<\/span>\n\u00A0\u00A0\u00A0\nschema:datePublished<\/a> \"2002<\/span>\" ;\u00A0\u00A0\u00A0\nschema:description<\/a> \"1. Foundations: set theory -- 2. General topology -- 3. Measures -- 4. Integration -- 5. Lp spaces: introduction to functional analysis -- 6. Convex sets and duality of normed spaces -- 7. Measure, topology, and differentiation -- 8. Introduction to probability theory -- 9. Convergence of laws and central limit theorems -- 10. Conditional expectations and martingales -- 11. Convergence of laws on separable metric spaces -- 12. Stochastic processes -- 13. Measurability: Borel isomorphism and analytic sets -- Appendixes: A. Axiomatic set theory ; B. Complex numbers, vector spaces, and Taylor\'s theorem with remainder ; C. The problem of measure ; D. Rearranging sums of nonnegative terms ; E. 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<http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> # New York<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"New York<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/dewey.info\/class\/515\/e21\/<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Agent\/cambridge_university_press<\/a>> # Cambridge University Press<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:Agent<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cambridge University Press<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Place\/cambridge<\/a>> # Cambridge<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cambridge<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Series\/cambridge_studies_in_advanced_mathematics<\/a>> # Cambridge studies in advanced mathematics ;<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nbgn:PublicationSeries<\/a> ;\u00A0\u00A0\u00A0\nschema:hasPart<\/a> <http:\/\/www.worldcat.org\/oclc\/50064478<\/a>> ; # Real analysis and probability<\/span>\n\u00A0\u00A0\u00A0\nschema:name<\/a> \"Cambridge studies in advanced mathematics ;<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Thing\/analisis_matematico<\/a>> # An\u00E1lisis matem\u00E1tico.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"An\u00E1lisis matem\u00E1tico.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Thing\/funciones_de_variables_reales<\/a>> # Funciones de variables reales.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Funciones de variables reales.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Thing\/probabilidades<\/a>> # Probabilidades.<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Thing<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilidades.<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/analyse_mathematique<\/a>> # Analyse math\u00E9matique<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Analyse math\u00E9matique<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/analysis<\/a>> # Analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Analysis<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/estruturas_algebricas_e_topologicas<\/a>> # Estruturas alg\u00E9bricas e topologicas<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Estruturas alg\u00E9bricas e topologicas<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/fonctions_de_variables_reelles<\/a>> # Fonctions de variables r\u00E9elles<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Fonctions de variables r\u00E9elles<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/probabilidade<\/a>> # Probabilidade<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilidade<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/probabilites<\/a>> # Probabilit\u00E9s<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilit\u00E9s<\/span>\"@fr<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/reelle_funktion<\/a>> # Reelle Funktion<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Reelle Funktion<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Topic\/wahrscheinlichkeitsrechnung<\/a>> # Wahrscheinlichkeitsrechnung<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Wahrscheinlichkeitsrechnung<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.loc.gov\/vocabulary\/countries\/enk<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:Place<\/a> ;\u00A0\u00A0\u00A0\ndcterms:identifier<\/a> \"enk<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1012068<\/a>> # Mathematical analysis<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Mathematical analysis<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/1077737<\/a>> # Probabilities<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Probabilities<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/id.worldcat.org\/fast\/936120<\/a>> # Functions of real variables<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Intangible<\/a> ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Functions of real variables<\/span>\"@en<\/a> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/viaf.org\/viaf\/213486607<\/a>> # Richard M. Dudley<\/span>\n\u00A0\u00A0\u00A0\u00A0a \nschema:Person<\/a> ;\u00A0\u00A0\u00A0\nschema:familyName<\/a> \"Dudley<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"Richard M.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:givenName<\/a> \"R. M.<\/span>\" ;\u00A0\u00A0\u00A0\nschema:name<\/a> \"Richard M. Dudley<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780521007542<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"0521007542<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780521007542<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/worldcat.org\/isbn\/9780521809726<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:ProductModel<\/a> ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"052180972X<\/span>\" ;\u00A0\u00A0\u00A0\nschema:isbn<\/a> \"9780521809726<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/50064478<\/a>>\u00A0\u00A0\u00A0\u00A0a \ngenont:InformationResource<\/a>, genont:ContentTypeGenericResource<\/a> ;\u00A0\u00A0\u00A0\nschema:about<\/a> <http:\/\/www.worldcat.org\/oclc\/50064478<\/a>> ; # Real analysis and probability<\/span>\n\u00A0\u00A0\u00A0\nschema:dateModified<\/a> \"2020-07-28<\/span>\" ;\u00A0\u00A0\u00A0\nvoid:inDataset<\/a> <http:\/\/purl.oclc.org\/dataset\/WorldCat<\/a>> ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n
<http:\/\/www.worldcat.org\/title\/-\/oclc\/50064478#PublicationEvent\/cambridge_new_york_cambridge_university_press_2002<\/a>>\u00A0\u00A0\u00A0\u00A0a \nschema:PublicationEvent<\/a> ;\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/dbpedia.org\/resource\/New_York_City<\/a>> ; # New York<\/span>\n\u00A0\u00A0\u00A0\nschema:location<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Place\/cambridge<\/a>> ; # Cambridge<\/span>\n\u00A0\u00A0\u00A0\nschema:organizer<\/a> <http:\/\/experiment.worldcat.org\/entity\/work\/data\/909574#Agent\/cambridge_university_press<\/a>> ; # Cambridge University Press<\/span>\n\u00A0\u00A0\u00A0\nschema:startDate<\/a> \"2002<\/span>\" ;\u00A0\u00A0\u00A0\u00A0.\n\n\n<\/div>\n\n

Content-negotiable representations<\/p>\n