Handbook of mathematical induction : theory and applications [E-Book] / David S. Gunderson.
Gunderson, David S., (author)
Boca Raton ; CRC Press, Taylor & Francis Group, [2010]
1 online resource (xxv, 893 pages), illustrations.
englisch
9781420093643
9781420093650
Discrete mathematics and its applications
Full Text
Table of Contents:
  • 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.