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Understanding Analysis

This lively introductory text exposes the student to the rewards of a rigorous study of functions of a real variable. In each chapter, informal discussions of questions that give analysis its inherent fascination are followed by precise, but not overly formal, developments of the techniques needed t...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Abbott, Stephen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2015.
Edición:2nd ed. 2015.
Colección:Undergraduate Texts in Mathematics,
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 The Real Numbers
  • 2 Sequences and Series
  • 3 Basic Topology of R
  • 4 Functional Limits and Continuity
  • 5 The Derivative
  • 6 Sequences and Series of Functions
  • 7 The Riemann Integral
  • 8 Additional Topics
  • Bibliography
  • Index. .