Infinitesimal Methods of Mathematical Analysis (Mathematics & Applications) by J S Pinto PDF DOWNLOA
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Author(s): J S Pinto
Publisher: Woodhead Publishing
Category: Mathematics
Date: 15.05.2004
Pages: 270
Language: English
ISBN-10: 1898563993
ISBN-13: 9781900000000
Format: pdf
Book Description:
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 having 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with a thoroughly comprehensive exposition of important and influential hyperreal numbers, the book includes previously unpublished material on the development of hyperfinite theory of Schwartz distributions and its application to generalised Fourier transforms and harmonic analysis.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.
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