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Book synopsis

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a thoroughly comprehensive exposition of important and influential hyperreal numbers, the book includes previously unpublished material on the development of hyperfinite theory of Schwartz distributions and its application to generalised Fourier transforms and harmonic analysis.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

Book details

Book category Books in English Mathematics & science Mathematics Calculus & mathematical analysis

• Full title: Infinitesimal Methods of Mathematical Analysis
• Author: J. S. Pinto
• Language: English
• Binding: Paperback
• Number of pages: 270
• EAN: 9781898563990
• ISBN: 1898563993
• ID: 05015361
• Publisher: Elsevier Science & Technology
• Weight: 450 g
• Dimensions: 232 × 158 × 20 mm
• Date of publishing: 01. May 2004

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