How To Measure The Infinite by Vieri Benci (.PDF)
File Size: 2 MB
How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers by Vieri Benci, Mauro Di Nasso
Requirements: .PDF reader, 2 MB
Overview: ‘This text shows that the study of the almost-forgotten, non-Archimedean mathematics deserves to be utilized more intently in a variety of fields within the larger domain of applied mathematics.’CHOICEThis book contains an original introduction to the use of infinitesimal and infinite numbers, namely, the Alpha-Theory, which can be considered as an alternative approach to nonstandard analysis.The basic principles are presented in an elementary way by using the ordinary language of mathematics; this is to be contrasted with other presentations of nonstandard analysis where technical notions from logic are required since the beginning. Some applications are included and aimed at showing the power of the theory.
Genre: Non-Fiction > Educational
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