Mathematical proofs : a transition to advanced mathematics /
Gary Chartrand, Albert D. Polimeni, Ping Zhang.
- Third edition.
- xii, 400 pages; 24 cm.
- Intelligent robotics and autonomous agents. .
I.Sets -- II.Logic -- III.Direct Proof and Proof by Contrapositive -- IV.More on Direct Proof and Proof by Contrapositive -- V.Existence and Proof by Contradiction -- VI.Mathematical Induction -- VII.Prove or Disprove -- VIII.Equivalence Relations -- IX.Functions -- X.Cardinalities of Sets -- XI.Proofs in Number Theory -- XII.Proofs in Calculus -- XIII.Proofs in Group Theory -- XIV.Proofs in Ring Theory (Online) -- XV.Proofs in Linear Algebra (Online) -- XVI.Proofs in Topology (Online)