Boolean Algebra and Shannon's Circuit Analysis - Math Foundations - N J Wildberger
Insights into Mathematics via YouTube
Overview
Explore the historical connections between circuit analysis and logic theory in this 25-minute video lecture. Delve into Huntington's general formulation of Boolean algebra and examine Claude Shannon's groundbreaking 1938 paper linking Boolean algebra to circuit analysis. Discover Shannon's unique perspective on "hindrances" to flow in circuits and how Boolean algebra's reduction formulas simplify complex circuit understanding. Learn about the impact of Shannon's work on 20th-century electrical engineering development. Engage with topics including series and parallel circuits, Shannon's examples, and reduction rules in Boolean algebra. Conclude with exercises to reinforce your understanding of these fundamental concepts in mathematics and electrical engineering.
Syllabus
Introduction
Edward Huntington 1904
Claude Shannon
Series and parallel
Shannon's example
Reduction rules in Boolean algebra
Exercises
Taught by
Insights into Mathematics