Infinitesimal Methods of Mathematical Analysis

ISBN: 9781898563990 出版年：2004 页码：270 Pinto, J S Woodhead Publishing_RM

This modern introduction to infinitesimal methods is a translation of the book M茅todos Infinitesimais de An谩lise Matem谩tica by Jos茅 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with a thoroughly comprehensive exposition of important and influential hyperreal numbers, the book includes previously unpublished material on the development of hyperfinite theory of Schwartz distributions and its application to generalised Fourier transforms and harmonic analysis.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