Essays on the Theory of Numbers (Classic Reprint): I. Continuity and Irrational Numbers, II. The Nature and Meaning of Numbers - Couverture souple

Richard Dedekind

Couverture souple

ISBN 10 : 1332011403 ISBN 13 : 9781332011407

Editeur : Forgotten Books, 2018

Synopsis

Foundations of numbers, from counting to infinity. This volume explores how arithmetic can be built on solid, purely logical ground, without relying on geometric intuition.

In these essays, Dedekind traces the nature of rational and irrational numbers, and shows how a rigorous, arithmetic view of continuity leads to a deeper understanding of real numbers. The work blends historical insight with careful reasoning, inviting readers to follow the path from simple counting to the infinite structures that underpin number theory.

• Clear discussion of how counting leads to the system of rational numbers and its operations


• Traceable development of the concept of continuity and the nature of irrational numbers


• Foundational arguments for a rigorous arithmetic approach to analysis


• Historical context and reflections on the meaning of numbers and infinity

Ideal for readers of mathematical philosophy and theory, this edition appeals to those who want a precise, thoughtful account of the roots of number theory and the groundwork for real analysis.

A propos du livre

Présentation de l'éditeur

This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.

Détails de l'édition

• Éditeur: Forgotten Books
• Date d'édition: 2018
• Langue: anglais
• ISBN 10: 1332011403
• ISBN 13: 9781332011407
• Reliure: Broché
• Nombre de pages: 132
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