Numbers : rational and irrational

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...

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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:
Numbers, Real.
MATHEMATICS > Algebra > Intermediate.
Numbers, Real
Online Access:Click for online access
Table of 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
  • 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.

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