Numbers :: rational and irrational /
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...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Haven : Washington, DC :
Yale University ; The Mathematical Association of America,
[2002]
|
| Schriftenreihe: | Anneli Lax new mathematical library ;
v. 1. |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | Title from publishers bibliographic system (viewed on 30 Jan 2012). |
| Beschreibung: | 1 online resource ([ix], 140 pages) : illustrations |
| Bibliographie: | Includes index. |
| ISBN: | 9780883859193 088385919X |
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| 245 | 1 | 0 | |a Numbers : |b rational and irrational / |c Ivan Niven, University of Oregon. |
| 246 | 3 | 0 | |a Rational and irrational |
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| 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. |0 http://id.loc.gov/authorities/subjects/sh85093221 | |
| 650 | 6 | |a Nombres réels. | |
| 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 |
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| author | Niven, Ivan, 1915-1999 |
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| contents | Natural numbers and integers -- Rational numbers -- Real numbers -- Irrational numbers -- Trigonometric and logarithmic numbers -- The approximation of irrationals by rationals -- The existence of transcendental numbers -- Proof that there are infinitely many prime numbers -- Proof of the fundamental theorem of arithmetic -- Cantor's proof of the existence of transcendental numbers -- Trigonometric numbers -- Answers and suggestions to selected problems. |
| ctrlnum | (OCoLC)775428797 |
| dewey-full | 512.81 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 512 - Algebra |
| dewey-raw | 512.81 |
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| discipline | Mathematik |
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| id | ZDB-4-EBA-ocn775428797 |
| illustrated | Illustrated |
| indexdate | 2024-11-27T13:18:14Z |
| institution | BVB |
| isbn | 9780883859193 088385919X |
| language | English |
| oclc_num | 775428797 |
| open_access_boolean | |
| owner | MAIN DE-863 DE-BY-FWS |
| owner_facet | MAIN DE-863 DE-BY-FWS |
| physical | 1 online resource ([ix], 140 pages) : illustrations |
| psigel | ZDB-4-EBA |
| publishDate | 2002 |
| publishDateSearch | 2002 |
| publishDateSort | 2002 |
| publisher | Yale University ; The Mathematical Association of America, |
| record_format | marc |
| series | Anneli Lax new mathematical library ; |
| series2 | Anneli Lax New Mathematical Library ; |
| spelling | Niven, Ivan, 1915-1999. https://id.oclc.org/worldcat/entity/E39PBJjmWVW9KpWCXyxVvpDTHC http://id.loc.gov/authorities/names/n82090911 Numbers : rational and irrational / Ivan Niven, University of Oregon. Rational and irrational New Haven : Yale University ; Washington, DC : The Mathematical Association of America, [2002] ©1961. 1 online resource ([ix], 140 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Anneli Lax New Mathematical Library ; v. 1 Title from publishers bibliographic system (viewed on 30 Jan 2012). Includes index. Natural numbers and integers -- Rational numbers -- Real numbers -- Irrational numbers -- Trigonometric and logarithmic numbers -- The approximation of irrationals by rationals -- The existence of transcendental numbers -- Appendix A. Proof that there are infinitely many prime numbers -- Appendix B. Proof of the fundamental theorem of arithmetic -- Appendix C. Cantor's proof of the existence of transcendental numbers -- Appendix D. Trigonometric numbers -- Answers and suggestions to selected problems. 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. Numbers, Real. http://id.loc.gov/authorities/subjects/sh85093221 Nombres réels. MATHEMATICS Algebra Intermediate. bisacsh Numbers, Real fast Print version: Niven, Ivan, 1915-1999. Numbers : Rational and Irrational. Washington : Mathematical Association of America, ©2014 9780883856017 Anneli Lax new mathematical library ; v. 1. http://id.loc.gov/authorities/names/n2002012009 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=450347 Volltext |
| spellingShingle | Niven, Ivan, 1915-1999 Numbers : rational and irrational / Anneli Lax new mathematical library ; Natural numbers and integers -- Rational numbers -- Real numbers -- Irrational numbers -- Trigonometric and logarithmic numbers -- The approximation of irrationals by rationals -- The existence of transcendental numbers -- Proof that there are infinitely many prime numbers -- Proof of the fundamental theorem of arithmetic -- Cantor's proof of the existence of transcendental numbers -- Trigonometric numbers -- Answers and suggestions to selected problems. Numbers, Real. http://id.loc.gov/authorities/subjects/sh85093221 Nombres réels. MATHEMATICS Algebra Intermediate. bisacsh Numbers, Real fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85093221 |
| title | Numbers : rational and irrational / |
| title_alt | Rational and irrational Natural numbers and integers -- Rational numbers -- Real numbers -- Irrational numbers -- Trigonometric and logarithmic numbers -- The approximation of irrationals by rationals -- The existence of transcendental numbers -- Proof that there are infinitely many prime numbers -- Proof of the fundamental theorem of arithmetic -- Cantor's proof of the existence of transcendental numbers -- Trigonometric numbers -- Answers and suggestions to selected problems. |
| title_auth | Numbers : rational and irrational / |
| title_exact_search | Numbers : rational and irrational / |
| title_full | Numbers : rational and irrational / Ivan Niven, University of Oregon. |
| title_fullStr | Numbers : rational and irrational / Ivan Niven, University of Oregon. |
| title_full_unstemmed | Numbers : rational and irrational / Ivan Niven, University of Oregon. |
| title_short | Numbers : |
| title_sort | numbers rational and irrational |
| title_sub | rational and irrational / |
| topic | Numbers, Real. http://id.loc.gov/authorities/subjects/sh85093221 Nombres réels. MATHEMATICS Algebra Intermediate. bisacsh Numbers, Real fast |
| topic_facet | Numbers, Real. Nombres réels. MATHEMATICS Algebra Intermediate. Numbers, Real |
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