TL;DR
This paper offers comprehensive course notes introducing undergraduate students to mathematical proofs, covering logic, proof techniques, set theory, and foundational topics with examples and exercises.
Contribution
It provides a structured, beginner-friendly introduction to mathematical proofs tailored for a one-semester undergraduate course.
Findings
Clear explanations of proof techniques and logic
Extensive examples and exercises included
Foundational topics covered comprehensively
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.
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Taxonomy
TopicsAdvanced Mathematical Theories · Mathematical and Computational Methods