How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers

How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers
Author :
Publisher : World Scientific
Total Pages : 346
Release :
ISBN-10 : 9789813276604
ISBN-13 : 9813276606
Rating : 4/5 (04 Downloads)

Book Synopsis How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers by : Vieri Benci

Download or read book How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers written by Vieri Benci and published by World Scientific. This book was released on 2019-02-19 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: '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.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.


How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers Related Books

How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers
Language: en
Pages: 346
Authors: Vieri Benci
Categories: Mathematics
Type: BOOK - Published: 2019-02-19 - Publisher: World Scientific

DOWNLOAD EBOOK

'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 lar
Non-standard Analysis
Language: en
Pages: 315
Authors: Abraham Robinson
Categories: Mathematics
Type: BOOK - Published: 2016-08-11 - Publisher: Princeton University Press

DOWNLOAD EBOOK

Considered by many to be Abraham Robinson's magnum opus, this book offers an explanation of the development and applications of non-standard analysis by the mat
Foundations of Infinitesimal Calculus
Language: en
Pages: 214
Authors: H. Jerome Keisler
Categories: Mathematics
Type: BOOK - Published: 1976-01-01 - Publisher: Prindle Weber & Schmidt

DOWNLOAD EBOOK

Handbook of Analysis and Its Foundations
Language: en
Pages: 907
Authors: Eric Schechter
Categories: Mathematics
Type: BOOK - Published: 1996-10-24 - Publisher: Academic Press

DOWNLOAD EBOOK

Handbook of Analysis and Its Foundations is a self-contained and unified handbook on mathematical analysis and its foundations. Intended as a self-study guide f
Lectures on the Hyperreals
Language: en
Pages: 292
Authors: Robert Goldblatt
Categories: Mathematics
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for self-study