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Visualizing the Riemann Zeta Function and Analytic Continuation

Offered By: 3Blue1Brown via YouTube

Tags

Mathematics Courses Number Theory Courses Derivatives Courses Complex Analysis Courses Riemann Zeta Function Courses

Course Description

Overview

Explore the intricacies of the Riemann zeta function and analytic continuation in this 22-minute video from 3Blue1Brown. Delve into complex analysis, transformations, and visualization techniques to understand the enigmatic function behind the Riemann hypothesis. Learn about derivatives, angle preservation, and the concept of analytic continuation. Gain insights into the relationship between infinite series and negative numbers, and discover the significance of Euler's constant in this mathematical exploration.

Syllabus

Introduction
What is complex analysis
What without
Transformations
Visualization
Continuing the function
Derivatives
Angle preserving
analytic continuation
Riemann hypothesis


Taught by

3Blue1Brown

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