From Counting to Continuum

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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.