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Mathematical Proof

History and Overview 2026-03-11 v1

Abstract

These Course Notes provide an introduction to mathematical proofs for undergraduate students transitioning from computational calculus to abstract mathematics. Topics include propositional logic, proof techniques, mathematical induction, fields, sets and relations, sequences and series, completeness of the real numbers, cardinality, and related foundational material. Numerous examples and exercises (with complete solutions) are included. The notes are designed for a one-semester proof course.

Keywords

Cite

@article{arxiv.2603.08756,
  title  = {Mathematical Proof},
  author = {Heinz H. Bauschke},
  journal= {arXiv preprint arXiv:2603.08756},
  year   = {2026}
}

Comments

Initial release