Book:Richard Dedekind/Essays on the Theory of Numbers
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Harry Bateman: Higher Transcendental Functions, Volume I
Published $1953$, Dover Publications
- ISBN 0-486-44614-X.
Contents
- I. CONTINUITY AND THE IRRATIONAL NUMBERS
- Preface
- I.
- II.
- III.
- IV.
- V.
- VI.
- VII.
- II. THE NATURE AND MEANING OF NUMBERS
- Prefaces
- 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 a Number-Series
- IX. Definition of a Tranformation 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
