Proofs and Sets: Applications

Related lectures (22)

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Introduces Cartesian product and induction for proofs using integers and sets.

Explores mapping functions, surjections, injective and surjective functions, and bijective functions.

Covers the basics of sets and operations in mathematics, from set properties to advanced operations.

Covers the properties of injective functions and demonstrates their proofs through examples and visual aids.

Covers the basic properties of holomorphic maps and Taylor series expansions in complex analysis.

Explores proof concepts, techniques, and applications in logic, mathematics, and algorithms.

Covers the construction of integers through equivalence relations and their properties in mathematics.

Explores the Cartesian product in linear algebra and the method of induction for proving propositions.

Covers the generalities of functions, including the definition of an application between sets and the uniqueness of elements in the image set.

Introduces mathematical induction principles and applications, including inequalities, divisibility, subsets, and strong induction.