Difference between revisions of "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


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