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1
Introduction
2
Kazimir Event
3
Elementary Series
4
Infinite Series
5
Geometric Series
6
Constant of Series
7
Contradiction
8
Burton Russell
9
The Challenge
10
The Argument
11
Complex Analysis
12
Riemann Zeta Function
13
Harmonic Oscillator
14
Casimir Effect
15
Mechanics
16
The finite part of infinity
17
The electromagnetic system
18
Measurement history
19
Questions
Description:
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.

The Finite Part of Infinity by Joseph Samuel

International Centre for Theoretical Sciences
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