TY - BOOK ID - 67815075 TI - Infinitesimal methods of mathematical analysis AU - Pinto, J. Sousa AU - Hoskins, R F PY - 2004 SN - 1898563993 0857099507 9780857099501 9781898563990 PB - Chichester, West Sussex DB - UniCat KW - Calculus. KW - Nonstandard mathematical analysis. KW - Schwartz distributions. KW - Distributions, Schwartz KW - Theory of distributions (Functional analysis) KW - Analysis (Mathematics) KW - Fluxions (Mathematics) KW - Infinitesimal calculus KW - Limits (Mathematics) KW - Mathematical analysis KW - Functions KW - Geometry, Infinitesimal KW - Analysis, Nonstandard mathematical KW - Mathematical analysis, Nonstandard KW - Non-standard analysis KW - Nonstandard analysis KW - Model theory UR - https://www.unicat.be/uniCat?func=search&query=sysid:67815075 AB - This modern introduction to infinitesimal methods is a translation of the book Métodos Infinitesimais de Análise Matemática by José 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with a thoroughly comprehensive exposition of important and influential hyperreal numbers, the book includes previously unpublished material on the development of hyperfinite theory of Schwartz distributions and its application to generalised Fourier transforms and harmon ER -