Essays on the theory of numbers

Richard Dedekind

116 pages, parution le 15/10/1990

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Résumé

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

Contents

I. CONTINUITY AND IRRATIONAL NUMBERS.
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 of the Domain of Real Numbers
VI. Operations with Real Numbers
VII. Infinitesimal Analysis
II. THE NATURE AND MEANING OF NUMBERS.
I. Systems of Elements
II. Transformation of a System.
III. Similarity of a Transformation. Similar Systems
IV. Transformation of a System in Itself
V. The Finite and Infinite.
VI. Simply Infinite Systems. Series of Natural Numbers
VII. Greater and Less Numbers
VIII. Finite and Infinite Parts of the Number-Series
IX. Definition of a Transformation of the Number-Series by Induction
X. The Class of Simply Infinite Systems
XI. Addition of Numbers
XII. Multiplication of Numbers
XIII. Involution of Numbers.
XIV. Number of the Elements of a Finite System

L'auteur - Richard Dedekind

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Dover
Auteur(s)	Richard Dedekind
Parution	15/10/1990
Nb. de pages	116
Format	13,7 x 20,2
Couverture	Broché
Poids	131g
Intérieur	Noir et Blanc
EAN13	9780486210100
ISBN13	978-0-486-21010-0