Proofs and Sets: Applications

Related lectures (22)

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Explores bijections in linear algebra and the concept of cardinality between sets.

Explores injective functions in linear algebra, demonstrating how to prove injectivity step by step.

Covers function composition and integers, including properties and examples.

Introduces sets, functions, and their properties, including injective and surjective functions, composition, and inverse functions.

Covers the analysis of functions, composition, and mathematical induction.

Focuses on injective functions in linear algebra, demonstrating how to verify properties and prove injectivity.

Introduces logic, proofs, sets, functions, and algorithms in mathematics and computer science.

Covers the basics of group theory, including sets, applications, and examples like permutations and rotations.

Introduces integer numbers, well-ordering, induction principles, GCD, LCM, and Bezout's theorem.

Covers algebraic identities, trigonometry, and real functions, including injective, surjective, bijective, and reciprocal functions.