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From Counting to Continuum

What Are Real Numbers, Really?

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The book offers a friendly introduction to real numbers, guiding readers from the intuitive understanding of natural numbers to the complex realm of real numbers. It systematically defines each type of number through simpler concepts, using equivalence relations to illustrate their connections. Starting with finite sets, it progresses through natural numbers, integers, and modular numbers, making the journey accessible for those new to university-level mathematics. Exercises and solutions are included to reinforce understanding.

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From Counting to Continuum, Edward Scheinerman

Sprache
Erscheinungsdatum
2024
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Untertitel
What Are Real Numbers, Really?
Sprache
Englisch
Erscheinungsdatum
2024
Einband
Paperback
Seitenzahl
228
ISBN13
9781009538671
Reihe
Bewertung
5 von 5 Sternen
Beschreibung
The book offers a friendly introduction to real numbers, guiding readers from the intuitive understanding of natural numbers to the complex realm of real numbers. It systematically defines each type of number through simpler concepts, using equivalence relations to illustrate their connections. Starting with finite sets, it progresses through natural numbers, integers, and modular numbers, making the journey accessible for those new to university-level mathematics. Exercises and solutions are included to reinforce understanding.