Overview
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Explore the fundamental concept of mathematical induction in this 32-minute video lecture on number theory. Delve into various examples, including alternating sums and binomial coefficients, to gain a solid understanding of this powerful proof technique. Learn how to construct and apply inductive proofs through step-by-step explanations and practice problems. Enhance your problem-solving skills and deepen your knowledge of number theory principles as you master the art of proof by induction.
Syllabus
Introduction
Examples
Alternating Sum
New Objects
Binomial coefficients
Induction
Proofs
Proof by Induction
Practice Problems
Taught by
Michael Penn