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From Calculus to Analysis

This textbook features applications including a proof of the Fundamental Theorem of Algebra, space filling curves, and the theory of irrational numbers.  In addition to the standard results of advanced calculus, the book  contains several interesting applications of these results. The text is intend...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Pedersen, Steen (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cham : Springer International Publishing : Imprint: Springer, 2015.
Edición:1st ed. 2015.
Temas:
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Part I
  • Limits
  • Introduction to Continuity
  • Sets of Real Numbers
  • Counting
  • Continuity
  • Derivatives and their Applications
  • The Riemann Integral
  • The Logarithm and the Exponential Function
  • Part II
  • Convergence of Sequences
  • Series
  • Trigonometric Functions and Applications
  • Fourier Series
  • Topology
  • Appendices.