How to Measure the Infinite: Mathematics with Infinite and Infinitesimal Numbers - Couverture rigide

Benci, Vieri; Di Nasso, Mauro

Couverture rigide

ISBN 10 : 9812836373 ISBN 13 : 9789812836373

Editeur : World Scientific Publishing Co Pte Ltd, 2019

A propos du livre

Présentation de l'éditeur :

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.

À propos de cette édition

• Éditeur: World Scientific Publishing Co Pte Ltd
• Date d'édition: 2019
• ISBN 10: 9812836373
• ISBN 13: 9789812836373
• Reliure: Relié
• Nombre de pages: 348