A classical beginning -- Multiple proof -- Number theory -- Mathematical induction -- Discrete mathematics -- Proofs without words -- Theory of games -- Pick's theorem -- Lattice-point polygons -- Polygonal dissection -- Functions and relations -- Graph theory -- Infinity -- Ord…
Dan Velleman's lively text prepares students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. This new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Desig…
"This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs." "The book begins with the basic concepts of logic and set theory to familiariz…
Hacking explores how mathematics became possible for the human race, and how it ensured our status as the dominant species.
This monograph considers several well-known mathematical theorems and asks the question, "Why prove it again?" while examining alternative proofs. It explores of previously established results, as well as how they judge whether two proofs of a given result are different. While a…
