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