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Differential and Integral Calculus

  • E. Hairer
  • G. Wanner
Part of the Undergraduate Texts in Mathematics book series (UTM)

Abstract

This chapter introduces the differential and integral calculus, the greatest inventions of all time in mathematics. We explain the ideas of Leibniz, the Bernoullis, and Euler. A rigorous treatment in the spirit of the 19th century will be the subject of Sections II1.5 and III.6.

Keywords

Taylor Series Linear Differential Equation Homogeneous Equation Parametric Representation Differential Calculus 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Copyright information

© Springer Science+Business Media New York 2008

Authors and Affiliations

  • E. Hairer
    • 1
  • G. Wanner
    • 1
  1. 1.Department of MathematicsUniversity of GenevaGenevaSwitzerland

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