This modern introduction to infinitesimal methods is a translation
of the book Metodos Infinitesimais de Analise Matematica by Jose
Sousa Pinto of the University of Aveiro, Portugal and is aimed at
final year or graduate level students with a background in
calculus. Surveying modern reformulations of the infinitesimal
concept with a thoroughly comprehensive exposition of important and
influential hyperreal numbers, the book includes previously
unpublished material on the development of hyperfinite theory of
Schwartz distributions and its application to generalised Fourier
transforms and harmonic analysis. This translation by Roy Hoskins
was also greatly assisted by the comments and constructive
criticism of Professor Victor Neves, of the University of Aveiro.
Surveys modern reformulations of the infinitesimal concept with a
comprehensive exposition of important and influential hyperreal
numbersIncludes material on the development of hyperfinite theory
of Schwartz distributions and its application to generalised
Fourier transforms and harmonic analysis"
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