Proofs by Induction: Principles and Examples

Related lectures (27)

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

Covers the principle of induction for natural numbers and the importance of caution in its application.

Explores recursion and induction for mathematical proofs through recursive algorithms and functions.

Explains mathematical induction for proving propositions true for all positive integers.

Introduces the principle of mathematical induction through an example.

Covers the principle of mathematical induction for proving propositions true for all positive integers.

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

Covers the basics of analysis, including real numbers, proofs, sets, and operations.

Covers the principle of recurrence demonstrations with examples illustrating the process step by step.

Explores the convergence of geometric series and their applications in real-world problems.