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Foundations of Classical Analysis

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

Abstract

Euler’s death in 1783 was followed by a period of stagnation in mathematics. He had indeed solved everything: an unsurpassed treatment of infinite and differential calculus (Euler 1748, 1755), solvable integrals solved, solvable differential equations solved (Euler 1768, 1769), the secrets of liquids (Euler 1755b), of mechanics (Euler 1736b, Lagrange 1788), of variational calculus (Euler 1744), of algebra (Euler 1770), unveiled. It seemed that no other task remained than to study about 30,000 pages of Euler’s work.

Keywords

Uniform Convergence Cauchy Sequence Classical Analysis Accumulation Point Infinite Series 
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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