Stetigkeit und Irrationale Zahlen (Classic Reprint) - Brossura

Dedekind, Richard

 
9780282678128: Stetigkeit und Irrationale Zahlen (Classic Reprint)

Sinossi

This book tackles the challenging task of establishing arithmetic on a purely arithmetical basis, thereby avoiding the introduction of geometrical ideas, as has been the custom. The author delves into the intricacies of rational and irrational numbers, leading the reader through the intricate but fascinating landscape of their properties and relationships. Through a novel and rigorous approach, the author illuminates the profound concept of continuity, revealing its significance as the cornerstone of the real number system. This book not only provides a solid foundation for further explorations in mathematics but also offers a fresh perspective on the nature of numbers themselves. Extending beyond mere technicalities, this book invites readers to contemplate the philosophical underpinnings of the seemingly straightforward notion of numbers, challenging conventional wisdom and sparking new insights into the fundamental building blocks of mathematics.

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