The real numbers : an introduction to set theory and analysis

While most texts on real analysis are content to assume the real numbers, or to treat them only briefly, this text makes a serious study of the real number system and the issues it brings to light. Analysis needs the real numbers to model the line, and to support the concepts of continuity and measu...

Deskribapen osoa

Gorde:
Xehetasun bibliografikoak
Egile nagusia: Stillwell, John, 1942-...., Professeur de mathématiques
Formatua: Livre numérique
Hizkuntza:Anglais
Argitaratua: Cham : Springer International Publishing : Imprint: Springer [20..].
Cham : Springer Nature
Saila:Undergraduate Texts in Mathematics
Gaiak:
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:• The real numbers, an introduction to set theory and analysis, John Stillwell, 2013, Cham [etc.], Springer, 1 vol. (xvi-244 p.), Undergraduate texts in mathematics, 978-3-319-01576-7
Aurkibidea:
  • The fundamental questions
  • From discrete to continuous
  • Infinite sets
  • Functions and limits
  • Open sets and continuity
  • Ordinals
  • The axiom of choice
  • Borel sets
  • Measure theory
  • Reflections
  • Bibliography
  • Index