An introductory course designed to teach the fundamental concepts and techniques of mathematical proofs.
Proofs aren't just for numbers; they also apply to abstract mathematical structures like groups, sets, and functions.
Use definitions of union, intersection, and subset to show relationships between sets.
Prove properties of operations in groups, rings, and fields by using their defining rules.
Abstract proofs help build the foundation for advanced mathematics and computer science, where objects are more than just numbers.
Abstract proofs are used in cryptography, programming languages, and more!
Proving that the intersection of two sets is a subset of each set.
Demonstrating that the sum of two odd functions is odd.
Proofs can be used in abstract mathematical systems, not just with numbers.