Numbers : rational and irrational / Ivan Niven, University of Oregon.

A superb development that starts with the natural numbers and carries the reader through the rationals and their decimal representations to algebraic numbers and then to the real numbers. Along the way, you will see characterizations of the rationals and of certain special (Liouville) transcendental...

Full description

Saved in:
Bibliographic Details
Main Author: Niven, Ivan, 1915-1999
Format: eBook
Language:English
Published: New Haven : Washington, DC : Yale University ; The Mathematical Association of America, [2002]
Series:Anneli Lax new mathematical library ; v. 1.
Subjects:
Online Access:Click for online access

MARC

LEADER 00000cam a2200000 i 4500
001 ocn775428797
003 OCoLC
005 20240909213021.0
006 m o d
007 cr |||||||||||
008 111006t20021961ctua o 001 0 eng d
040 |a COO  |b eng  |e pn  |e rda  |c COO  |d N$T  |d OCLCQ  |d OCLCF  |d CAMBR  |d YDXCP  |d OCLCQ  |d EBLCP  |d DEBSZ  |d OCLCQ  |d AGLDB  |d ZCU  |d MERUC  |d OCLCQ  |d VTS  |d ICG  |d OCLCQ  |d STF  |d DKC  |d OCLCQ  |d AJS  |d RDF  |d OCLCO  |d OCLCQ  |d TXI  |d OCLCO  |d OCLCL  |d OCLCQ 
019 |a 903621724  |a 923220107  |a 929120331  |a 1010962124  |a 1087367955  |a 1264954510  |a 1297478297  |a 1297777684 
020 |a 9780883859193  |q (electronic bk.) 
020 |a 088385919X  |q (electronic bk.) 
035 |a (OCoLC)775428797  |z (OCoLC)903621724  |z (OCoLC)923220107  |z (OCoLC)929120331  |z (OCoLC)1010962124  |z (OCoLC)1087367955  |z (OCoLC)1264954510  |z (OCoLC)1297478297  |z (OCoLC)1297777684 
050 4 |a QA241 
072 7 |a MAT  |x 002040  |2 bisacsh 
049 |a HCDD 
100 1 |a Niven, Ivan,  |d 1915-1999.  |1 https://id.oclc.org/worldcat/entity/E39PBJjmWVW9KpWCXyxVvpDTHC 
245 1 0 |a Numbers :  |b rational and irrational /  |c Ivan Niven, University of Oregon. 
246 3 0 |a Rational and irrational 
264 1 |a New Haven :  |b Yale University ;  |a Washington, DC :  |b The Mathematical Association of America,  |c [2002] 
264 4 |c ©1961. 
300 |a 1 online resource ([ix], 140 pages) :  |b illustrations 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
490 1 |a Anneli Lax New Mathematical Library ;  |v v. 1 
500 |a Title from publishers bibliographic system (viewed on 30 Jan 2012). 
504 |a Includes index. 
505 0 0 |t Natural numbers and integers --  |t Rational numbers --  |t Real numbers --  |t Irrational numbers --  |t Trigonometric and logarithmic numbers --  |t The approximation of irrationals by rationals --  |t The existence of transcendental numbers --  |g Appendix A.  |t Proof that there are infinitely many prime numbers --  |g Appendix B.  |t Proof of the fundamental theorem of arithmetic --  |g Appendix C.  |t Cantor's proof of the existence of transcendental numbers --  |g Appendix D.  |t Trigonometric numbers --  |t Answers and suggestions to selected problems. 
520 |a A superb development that starts with the natural numbers and carries the reader through the rationals and their decimal representations to algebraic numbers and then to the real numbers. Along the way, you will see characterizations of the rationals and of certain special (Liouville) transcendental numbers. This material is basic to all of algebra and analysis. Professor Niven's book may be read with profit by interested high school students as well as by college students and others who want to know more about the basic aspects of pure mathematics. 
650 0 |a Numbers, Real. 
650 7 |a MATHEMATICS  |x Algebra  |x Intermediate.  |2 bisacsh 
650 7 |a Numbers, Real  |2 fast 
776 0 8 |i Print version:  |a Niven, Ivan, 1915-1999.  |t Numbers : Rational and Irrational.  |d Washington : Mathematical Association of America, ©2014  |z 9780883856017 
830 0 |a Anneli Lax new mathematical library ;  |v v. 1. 
856 4 0 |u https://ebookcentral.proquest.com/lib/holycrosscollege-ebooks/detail.action?docID=3330415  |y Click for online access 
903 |a EBC-AC 
994 |a 92  |b HCD