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with a thoroughly comprehensive exposition of important and influential hyperreal numbers, the book includes previously unpublished material on the development of hyperfinite theory of Schwartz distributions and its application to generalised Fourier transforms and harmonic analysis.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.
- ISBN10 0857099507
- ISBN13 9780857099501
- Publish Date 1 May 2004 (first published 1 January 2004)
- Publish Status Active
- Publish Country GB
- Publisher Elsevier Science & Technology
- Imprint Woodhead Publishing Ltd
- Format eBook
- Pages 270
- Language English