
How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers
World Scientific Publishing Co Pte Ltd
Published on 28. February 2019
Book
Hardback
200 pages
978-981-283-637-3 (ISBN)
Description
"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.
More details
Language
English
Place of publication
Singapore
Singapore
Target group
College/higher education
Professional and scholarly
Dimensions
Height: 250 mm
Width: 175 mm
Thickness: 23 mm
Weight
777 gr
ISBN-13
978-981-283-637-3 (9789812836373)
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Schweitzer Classification
Persons
Content
Cardinal and Ordinal Numbers: An Overview; Numerosities of Infinite Sets; The ?-Calculus; The ?-Theory; Nonstandard Analysis; Foundational Aspects.