Transcription of Numbers: Rational and Irrational
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Numbers: Rational and Irrational
NUMBERS: Rational AND Irrational IVAN NIVEN 2+V-5 3-4i The L. W. Singer Company New Mathematical Library NUMBERS: Rational AND Irrational COMPLEX NUMBERS REAL NUMBERS (REAL) ALGEBRAIC NUMBERS NUMBERS CONSTRUCTIBLE BY STRAIGHTEDGE AND COMPASS Rational NUMBERS INTEGERS I NATURAL I NUMBERS NEW MATHEMATICAL LIBRARY 'Published by Random House and The L. W. Singer Company for the Monograph Project of the SCHOOL MATHEMATICS STUDY GROUPt EDITORIAL PANEL Mark Kac, Chairman (1961-1964) Rockefeller Institute Anneli Lax, Technical Editor New York University E. G. Begle, Stanford University L. Bers (1958-62; Chairman, 1958-1961), New York University W. G. Chinn (1961-64), San Francisco Public &lwols H.
CONTENT S Introduction 3 Chapter 1 Natural Numbers and Integers 9 1.1 Primes 10 1.2 Unique Factorization 11 1.3 Integers 13 1.4 Even and Odd Integers 15 1.5 Closure Properties 18 1.6 A Remark on the Nature of Proof 19 Chapter 2 Rational Numbers 21 2.1 Definition of Rational Numbers 21 2.2 Terminating and Non-terminating Decimals 23 2.3 The Many Ways of Stating and Proving …
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