Loehr N.a. - An Introduction To Mathematical Pr... -

New material is presented in small, digestible sections to prevent novices from becoming overwhelmed, though it maintains high mathematical rigor.

Injective/surjective/bijective properties, equivalence relations, and partial orders.

Propositional logic, truth tables, and a thorough treatment of multiple quantifiers. Loehr N.A. - An Introduction to Mathematical Pr...

The book covers foundational topics that serve as prerequisites for advanced courses like abstract algebra and real analysis:

Exploration of finite, countably infinite, and uncountable sets. New material is presented in small, digestible sections

According to reviewers from the Mathematical Association of America (MAA) , the book stands out for several pedagogical reasons:

Induction, recursive definitions, and prime factorization. New material is presented in small

Operations, subset proofs, power sets, and an optional section on axiomatic set theory (ZFC).