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

Dedekind, Richard

9781332011407: Essays on the Theory of Numbers (Classic Reprint): I. Continuity and Irrational Numbers, II. The Nature and Meaning of Numbers

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ISBN 10 : 1332011403 ISBN 13 : 9781332011407

Editeur : Forgotten Books, 2018

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Excerpt from Essays on the Theory of Numbers

The development of the arithmetic of rational numbers is here presupposed, but still I think it worth while to call attention to certain important.

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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.

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1332011403
ISBN 13: 9781332011407
Reliure: Broch�
Nombre de pages: 132
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Essays on the Theory of Numbers: I. Continuity and Irrational Numbers, II

Richard Dedekind

Edit� par Forgotten Books, 2018

ISBN 10 : 1332011403 ISBN 13 : 9781332011407

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the intricate world of numbers, exploring their nature, meaning, and the profound concept of continuity. The author embarks on a captivating journey through the history of mathematical thought, tracing the evolution of number systems from the familiar realm of rational numbers to the enigmatic domain of irrational numbers. With meticulous precision, the author dissects the fundamental principles of arithmetic, unveiling the inherent limitations of rational numbers in capturing the essence of continuity. The concept of a "cut," a groundbreaking idea introduced by the author, bridges this gap, paving the way for the creation of irrational numbers and the establishment of a complete and continuous number system. This exploration extends beyond theoretical abstractions, delving into the practical implications of continuity in infinitesimal analysis. The author demonstrates the profound connection between the principles of continuity and fundamental theorems of calculus, illuminating the essential role of a continuous number domain in understanding the intricacies of change and motion. Ultimately, this book challenges our understanding of numbers as mere tools of calculation, revealing them as profound constructs that shape our comprehension of the world around us. The author's insights into the nature of continuity and the creation of irrational numbers revolutionized the field of mathematics, laying the groundwork for modern analysis and our understanding of the universe's underlying mathematical structure. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. N� de r�f. du vendeur 9781332011407_0

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