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Two most important essays by the famous German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, thereby a rigorous meaning of continuity in analysis. The other is an attempt to give logical basis for transfinite numbers and properties... Read Full Overview

The contents of the book are as follows

I. PROPERTIES OF RATIONAL NUMBERS

II. COMPARISON OF THE RATIONAL NUMBERS WITH THE POINTS OF A STRAIGHT LINE

III. CONTINUITY OF THE STRAIGHT LINE

IV. CREATION OF IRRATIONAL NUMBERS

V. CONTINUITY... Read Full Overview

This book is a classic treatise on the theory of numbers. The two essays included in this volume deal with the concept of infinity and the nature of numbers. Dedekind's groundbreaking work on the concept of the irrational numbers laid the foundation for the modern theory of... Read Full Overview

This landmark work by Richard Dedekind includes his method for construction irrational numbers from rational numbers, thus demonstrating the continuity of the real number line using algebraic methods. The method Dedekind outlines here is the standard method taught to students... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original... Read Full Overview

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original... Read Full Overview

This work has been selected by scholars as being culturally important and is part of the knowledge base of civilization as we know it.

This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely... Read Full Overview

Essays On The Theory Of Numbers is a book written by Richard Dedekind, a German mathematician, in which he explores various topics related to number theory. This book is a large print edition, making it easier for readers with visual impairments to read. The book is divided into... Read Full Overview

Essays On The Theory Of Numbers is a book written by Richard Dedekind, a German mathematician who is known for his contributions to the development of algebra and number theory. The book contains a collection of essays on various topics related to number theory, including the... Read Full Overview