Bob Blaisdell, Richard Dedekind

Essays on the Theory of Numbers

• Broschiertes Buch

Produktbeschreibung

Two classic essays by great German mathematician: one provides an arithmetic, rigorous foundation for the irrational numbers, the other is an attempt to give the logical basis for transfinite numbers and properties of the natural numbers.

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Produktdetails

• Dover Books on Mathema 1.4tics
• Verlag: Dover Publications Inc.
• Seitenzahl: 128
• Erscheinungstermin: 1. Juni 1963
• Englisch
• Abmessung: 203mm x 136mm x 7mm
• Gewicht: 142g
• ISBN-13: 9780486210100
• ISBN-10: 0486210103
• Artikelnr.: 21108942

Inhaltsangabe

I. Continuity and Irrational Numbers Preface 1. Properties of Rational
Numbers 2. Comparison of the Rational Numbers with the Points of a Straight
Line 3. Continuity of the Straight Line 4. Creation of Irrational Numbers
5. Continuity of the Domain of Real Numbers 6. Operations with Real Numbers
7. Infinitesimal Analysis II. The Nature and Meaning of Numbers Prefaces 1.
Systems of Elements 2. Transformation of a System 3. Similarity of a
Transformation. Similar Systems 4. Transformation of a System in Itself 5.
The Finite and Infinite 6. Simply Infinite Systems. Series of Natural
Numbers 7. Greater and Less Numbers 8. Finite and Infinite Parts of the
Number-Series 9. Definition of a Transformation of the Number-Series by
Induction 10. The Class of Simply Infinite Systems 11. Addition of Numbers
12. Multiplication of Numbers 13. Involution of Numbers 14. Number of the
Elements of a Finite System