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Handbook of mathematical induction : theory and applications /
"Handbook of Mathematical Induction: Theory and Applications shows how to find and write proofs via mathematical induction. This comprehensive book covers the theory, the structure of the written proof, all standard exercises, and hundreds of application examples from nearly every area of mathe...
| Cote: | Libro Electrónico |
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| Auteur principal: | |
| Format: | Électronique eBook |
| Langue: | Inglés |
| Publié: |
Boca Raton ; London ; NewYork :
CRC Press, Taylor & Francis Group,
[2010]
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| Collection: | CRC Press series on discrete mathematics and its applications.
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| Sujets: | |
| Accès en ligne: | Texto completo |
Table des matières:
- What is mathematical induction?
- Foundations
- Variants of finite mathematical induction
- Inductive techniques applied to the infinite
- Paradoxes and sophisms from induction
- Empirical induction
- How to prove by induction
- The written MI proof
- Identities
- Inequalities
- Number theory
- Sequences
- Sets
- Logic and language
- Graphs
- Recursion and algorithms
- Games and recreations
- Relations and functions
- Linear and abstract algebra
- Geometry
- Ramsey theory
- Probability and statistics.