Basic Real Analysis

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This expanded second edition presents the fundamentals and touchstone results of real analysis in full rigor, but in a style that requires little prior familiarity with proofs or mathematical language. The text is a comprehensive and largely self-contained introduction to the theory of real-valued f...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Sohrab, Houshang H. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Birkhäuser, 2014.
Edición:2nd ed. 2014.
Temas:
Measure theory.
Mathematical logic.
Measure and Integration.
Mathematical Logic and Foundations.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • Set Theory
  • Sequences and Series of Real Numbers
  • Limits of Functions
  • Topology of R and Continuity
  • Metric Spaces
  • The Derivative
  • The Riemann Integral
  • Sequences and Series of Functions
  • Normed and Function Spaces
  • The Lebesgue Integral
  • Lebesgue Measure
  • General Measure and Probability
  • Appendix A: Construction of Real Numbers
  • References
  • Index.

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