This comprehensive handbook enables readers to prove hundreds of mathematicalresults. It presents the formal development of natural numbers from axioms, which leads into set theory and transfinite induction. The book covers Peano¿s axioms, weak and strong induction, double induction, infinite descent downwardinduction, and variants of these inductions. It also contains numerous exercises highlighting the various levels of difficulty of an inductive proof, the variety of inductive techniques available, and the scope of results provable bymathematical induction. The final section includes solutions to all exercisesin long form so that no steps are omitted.
- ISBN: 978-1-4200-9364-3
- Editorial: Chapman & Hall/CRC Statistics and Mathem
- Encuadernacion: Cartoné
- Páginas: 840
- Fecha Publicación: 25/08/2010
- Nº Volúmenes: 1
- Idioma: Inglés