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Nonstandard Analysis

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  • 180pages
  • 7 heures de lecture

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Infinitesimals have been hotly debated since the invention of calculus 300 years ago. This accessible treatment of nonstandard analysis (NSA) presents an elementary, yet rigorous account of the theory of infinitesimals and derives some known mathematical results in a nonclassical way. Provides recent solutions to mathematical questions which remained unsolved until the advent of NSA. Treatment is self-contained and includes exercises with detailed solutions. This wonderful little book...is simple and brilliant, deep and witty, short and far-ranging...''"(--J.-M. Ley-Leblond, European Journal of Physics)"

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Nonstandard Analysis, Alain Robert

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Année de publication
1988
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Titre
Nonstandard Analysis
Langue
Anglais
Format
rigide
Pages
180
ISBN10
0471917036
ISBN13
9780471917038
Séries
Description
Infinitesimals have been hotly debated since the invention of calculus 300 years ago. This accessible treatment of nonstandard analysis (NSA) presents an elementary, yet rigorous account of the theory of infinitesimals and derives some known mathematical results in a nonclassical way. Provides recent solutions to mathematical questions which remained unsolved until the advent of NSA. Treatment is self-contained and includes exercises with detailed solutions. This wonderful little book...is simple and brilliant, deep and witty, short and far-ranging...''"(--J.-M. Ley-Leblond, European Journal of Physics)"