Proofs 101: An Introduction to Formal Mathematics
serves as an introduction to proofs for mathematics majors who have completed the calculus sequence (at least Calculus I and II) and a first course in linear algebra.
The book prepares students for the proofs they will need to analyze and write the axiomatic nature of mathematics and the rigors of upper-level mathematics courses. Basic number theory, relations, functions, cardinality, and set theory will provide the material for the proofs and lay the foundation for a deeper understanding of mathematics, which students will need to carry with them throughout their future studies.
Features
Designed to be teachable across a single semester
Suitable as an undergraduate textbook for Introduction to Proofs or Transition to Advanced Mathematics courses
Offers a balanced variety of easy, moderate, and difficult exercises