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How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers (Hardcover)
Loot Price: R3,560
Discovery Miles 35 600
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How To Measure The Infinite: Mathematics With Infinite And Infinitesimal Numbers (Hardcover)
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'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.
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