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portada How to Measure the Infinite: Mathematics With Infinite and Infinitesimal Numbers
Type
Physical Book
Publisher
Author
Year
2009
Language
English
Pages
200
Format
Hardcover
ISBN
9812836373
ISBN13
9789812836373
Categories

How to Measure the Infinite: Mathematics With Infinite and Infinitesimal Numbers

Mauro Di Nasso; Vieri Benci (Author) · World Scientific Pub Co Inc · Hardcover

How to Measure the Infinite: Mathematics With Infinite and Infinitesimal Numbers - Mauro Di Nasso; Vieri Benci

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Synopsis "How to Measure the Infinite: Mathematics With Infinite and Infinitesimal Numbers "

This book provides a comprehensive exposition of a new way of counting (countable) infinite sets, in particular, numerosities that maintain the ancient Aristotle's principle: "The whole is larger than its parts." It also contains an original introduction 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 introductions, where technical notions from logic are used which are not familiar to most mathematicians.This book is the result of a scientific collaboration among different perspectives of mathematics. The first author is a leading figure in variational and topological methods in nonlinear analysis, and has cultivated a broad range of interests in applications of mathematics; while the second author is a specialist in mathematical logic and in the foundations of nonstandard analysis.

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