9789812836373-9812836373-How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers

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

ISBN-13: 9789812836373
ISBN-10: 9812836373
Author: Vieri Benci, Mauro Di Nasso
Publication date: 2014
Publisher: World Scientific Publishing Co
Format: Hardcover 348 pages
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Book details

ISBN-13: 9789812836373
ISBN-10: 9812836373
Author: Vieri Benci, Mauro Di Nasso
Publication date: 2014
Publisher: World Scientific Publishing Co
Format: Hardcover 348 pages

Summary

Acknowledged authors Vieri Benci, Mauro Di Nasso wrote How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers comprising 348 pages back in 2014. Textbook and eTextbook are published under ISBN 9812836373 and 9789812836373. Since then How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers textbook was available to sell back to BooksRun online for the top buyback price of $ 1.13 or rent at the marketplace.

Description

This 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.

The book also provides a comprehensive exposition of the Theory of Numerosity, a new way of counting (countable) infinite sets that maintains the ancient Euclid's Principle: "The whole is larger than its parts". The book is organized into five parts: Alpha-Calculus, Alpha-Theory, Applications, Foundations, and Numerosity Theory.

Readership: Advanced undergraduate and graduate students in mathematics and philosophy.

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