The Finite Part of Infinity by Joseph Samuel

Explore the intriguing concept of infinity in mathematics and physics through this engaging lecture by Joseph Samuel. Delve into Ramanujan's seemingly paradoxical equation and uncover the deep mathematical principles behind it. Discover how interpretations of divergent series have impacted physics, particularly in understanding the Casimir effect. Learn about the intersection of higher mathematics and physics, including applications in general relativity, quantum theory, and optics. Gain insights into the use of differential geometry and topology in physics, and explore analogies between different areas of scientific study. Engage with complex topics such as the Riemann Zeta Function, harmonic oscillators, and electromagnetic systems. Conclude with a Q&A session to further expand your understanding of the finite aspects of infinity.

Introduction
Kazimir Event
Elementary Series
Infinite Series
Geometric Series
Constant of Series
Contradiction
Burton Russell
The Challenge
The Argument
Complex Analysis
Riemann Zeta Function
Harmonic Oscillator
Casimir Effect
Mechanics
The finite part of infinity
The electromagnetic system
Measurement history
Questions