Synopsis
This book takes an in-depth look at the foundational elements of mathematics, specifically focusing on the real number system. Delving into a subject often taken for granted, the author unpacks the basic principles of fields and ordered fields, leading toward an exploration of the completeness property - which forms the crux of calculus and more advanced mathematical analysis. Along the way, the author examines the axiomatic system that underpins the real number system, including set theory, Cartesian products, and relations. Through its rigorous exploration of these fundamental concepts, this book provides a comprehensive understanding of the theoretical underpinnings of mathematics.
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The Real Number System Classic Reprint
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The Real Number System Classic Reprint
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