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From Counting to Continuum

What Are Real Numbers, Really?

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This introduction to real numbers offers a clear, step-by-step exploration of mathematical concepts, starting from the intuitive idea of counting. It gradually builds on simpler number types, defining each in relation to the previous one through equivalence relations. Natural numbers emerge from finite sets, integers from pairs of natural numbers, and modular numbers from integers, creating a coherent framework. The book is designed for newcomers to university-level mathematics, featuring exercises and solutions to reinforce understanding.

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From Counting to Continuum, Edward Scheinerman

Lingua
Pubblicato
2024
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Sottotitolo
What Are Real Numbers, Really?
Lingua
Inglese
Pubblicato
2024
Formato
Copertina rigida
Pagine
228
ISBN13
9781009538640
Serie
Valutazione
5 su 5
Descrizione
This introduction to real numbers offers a clear, step-by-step exploration of mathematical concepts, starting from the intuitive idea of counting. It gradually builds on simpler number types, defining each in relation to the previous one through equivalence relations. Natural numbers emerge from finite sets, integers from pairs of natural numbers, and modular numbers from integers, creating a coherent framework. The book is designed for newcomers to university-level mathematics, featuring exercises and solutions to reinforce understanding.