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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...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Niven, Ivan, 1915-1999
Formato: Electrónico eBook
Idioma:Inglés
Publicado: New Haven : Washington, DC : Yale University ; The Mathematical Association of America, [2002]
Colección:Anneli Lax new mathematical library ; v. 1.
Temas:
Acceso en línea:Texto completo

MARC

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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 
264 1 |a New Haven :  |b Yale University ;  |a Washington, DC :  |b The Mathematical Association of America,  |c [2002] 
264 4 |c ©1961. 
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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. 
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830 0 |a Anneli Lax new mathematical library ;  |v v. 1. 
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