More Calculus of a Single Variable

This book goes beyond the basics of a first course in calculus to reveal the power and richness of the subject. Standard topics from calculus - such as the real numbers, differentiation and integration, mean value theorems, the exponential function - are reviewed and elucidated before digging into a...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Mercer, Peter R. (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New York, NY : Springer New York : Imprint: Springer, 2014.
Edición:1st ed. 2014.
Colección:Undergraduate Texts in Mathematics,
Temas:
Mathematical analysis.
Analysis.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • Preface
  • 1 The Real Numbers
  • 2 Famous Inequalities
  • 3 Continuous Functions
  • 4 Differentiable Functions
  • 5 The Mean Value Theorem
  • 6 The Exponential Function
  • 7 Other Mean Value Theorems
  • 8 Convex Functions and Taylor's Theorem
  • 9 Integration of Continuous Functions
  • 10 The Fundamental Theorem of Calculus
  • 11 Techniques of Integration
  • 12 Classic Examples
  • 13 Simple Quadrature Rules
  • 14 Error Terms
  • A The Proof of Theorem 9.1
  • Index.

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