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The Series Finale of Online Education: Coursera Acquires Udemy

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Calculus
Infinite series

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Master convergence tests, series manipulation, and summation techniques essential for advanced calculus and mathematical analysis. Learn through step-by-step tutorials on YouTube and MITx Online, covering ratio tests, alternating series, and geometric series with practical problem-solving strategies.

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Ross Dynamics Lab
Hamiltonian Normal Forms, Lie Series Method for Transformations - Infinite-Dimensional Hamiltonians

Explore Hamiltonian normal forms, Lie series transformations, and infinite-dimensional systems. Learn to simplify complex dynamics and analyze PDEs like shallow water equations.
- YouTube
- 1 hour 1 minute
- On-Demand
- Free Video
dekeNow
Mastering Infinite Sequences in Photoshop - Creating Dynamic Transformation Series

Learn to create dynamic infinite transformation sequences in Photoshop, power-duplicate layers, and make automatic updates. Master techniques for scaling, positioning, masking, and using Generative Fill for stunning visual effects.
- YouTube
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Mathologer
Secrets of the Sum of Sums - Paradoxical Harmonic Series

Explore the fascinating properties of the harmonic series, from balanced warm-ups to leaning towers of math, and discover surprising insights into this infinite mathematical sequence.
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Mathologer
Euler's Infinite Pi Formula Generator

Explore Euler's genius in deriving famous infinite pi formulas, from Leibniz-Madhava to Basel, starting with his groundbreaking infinite product formula for sine.
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Mathologer
The Proof - E and Pi Are Transcendental

Explore the transcendence of e and pi through seven levels of mathematical enlightenment, from basic irrationality to advanced proofs, in this comprehensive and engaging video.
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Numberphile
Does -1/12 Protect Us From Infinity? - Revisiting the Sum of Integers

Professor Tony Padilla revisits the controversial sum of integers equaling -1/12, exploring new insights and mathematical implications in this intriguing Numberphile video on infinite series.
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- 21 minutes
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Numberphile
The Return of -1/12 - Exploring Divergent Series in Mathematics

Explore the controversial sum 1+2+3+... = -1/12 with UC Berkeley's Tony Feng. Delve into mathematical concepts, interpretations, and the ongoing debate surrounding this intriguing result.
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Mathologer
Way Beyond the Golden Ratio - The Power of AB=A+B

Explore mathematical wonders beyond the golden ratio, including Steinbach's infinite family of counterparts, Fibonacci sequences, and geometric insights. Uncover hidden patterns and relationships in numbers and shapes.
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North Carolina School of Science and Mathematics
AP Calculus Collection 2016-2017

Master advanced calculus concepts including limits, derivatives, integration techniques, series convergence, polar curves, and parametric equations through comprehensive examples.
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International Centre for Theoretical Sciences
The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

Explore Madhava's groundbreaking mathematical contributions, including calculus innovations, and his impact on Kerala's mathematical renaissance. Gain insights into his life and historical context.
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Insights into Mathematics
Difficulties With Real Numbers as Infinite Decimals - Real Numbers + Limits Math Foundations

Explores challenges in defining real numbers as infinite decimals from a computational perspective, highlighting technical obstacles in algorithms, arithmetic operations, and number equality recognition.
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Physics Explained
The Math Problem That Defeated Everyone - Until Euler

Discover how Euler solved the legendary Basel Problem that stumped mathematicians for decades, revealing deep connections between infinite series, π, and number theory.
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Tools of the Trade for Infinite Sums

Explore advanced mathematical techniques for solving infinite sums connected to black hole physics with Professor Ed Copeland in this deep mathematical investigation.
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An Integral with Infinitely Nested Radicals

Discover how to evaluate an integral containing an infinitely nested radical through advanced calculus techniques and mathematical reasoning.
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MindYourDecisions
Ramanujan's Radical Brain Teaser

Explore the legendary mathematical brain teaser that stumped mathematicians for over a year until Ramanujan himself revealed the solution to his challenging nested radical problem.
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