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Introduction to calculus and analysis /

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Bibliographic Details
Main Author: Courant, Richard, 1888-1972 (Author)
Other Authors: John, Fritz, 1910-1994
Format: Book
Language:English
Published: New York : Springer-Verlag, [1989]
Subjects:
Calculus.
Mathematical analysis.
Calcul infinitésimal.
Analyse mathématique.
calculus.
Calculo numerico.
Analise matematica.
Table of Contents:
  • v. 1. Introduction
  • The fundamental ideas of the integral and differential calculus
  • The techniques of calculus
  • Applications in physics and geometry
  • Taylor's expansion
  • Numerical methods
  • Infinite sums and products
  • Trigonometric series
  • Differential equations for the simplest types of vibration
  • volume 2. Functions of several variables and their derivatives
  • Vectors, matrices, linear transformations
  • Developments and applications of the differential calculus
  • Multiple integrals
  • Relations between surface and volume integrals
  • Differential equations
  • Calculus of variations
  • Functions of a complex variable.