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#Infinite series

Showing: 32 courses
Dr. Gajendra Purohit

Advance Calculus

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Explore advanced calculus concepts including infinite series, partial differentiation, Jacobian transformations, and multivariable calculus through comprehensive lectures and problem-solving techniques.
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41 Lesons
12 hours
On-Demand
Free-Video
3Blue1Brown

What Makes the Natural Log "Natural"

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Explore the natural logarithm's unique properties, its relationship with prime numbers, exponentials, and derivatives. Gain insights into mathematical concepts through engaging explanations and visual demonstrations.
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21 Lesons
1 hour 15 minutes
On-Demand
Free-Video
Mathologer

Euler's Infinite Pi Formula Generator

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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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7 Lesons
29 minutes
On-Demand
Free-Video
Mathologer

The Proof - E and Pi Are Transcendental

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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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9 Lesons
37 minutes
On-Demand
Free-Video
Mathologer

Secrets of the Sum of Sums - Paradoxical Harmonic Series

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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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9 Lesons
47 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 3

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
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11 Lesons
1 hour 41 minutes
On-Demand
Free-Video
The Organic Chemistry Tutor

Arithmetic Sequences and Arithmetic Series - Basic Introduction

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Learn to find nth terms and sums of arithmetic sequences, differentiate finite sequences from infinite series, and solve word problems in this comprehensive introduction to arithmetic sequences and series.
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9 Lesons
44 minutes
On-Demand
Free-Video
Insights into Mathematics

Difficulties With Real Numbers as Infinite Decimals - Real Numbers + Limits Math Foundations

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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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13 Lesons
52 minutes
On-Demand
Free-Video
Michael Penn

A Sum Two Ways

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Explore two distinct methods for calculating the closed form of an intriguing infinite series, demonstrating advanced mathematical techniques and problem-solving approaches.
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1 Lesons
31 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Man Who Invented Calculus - The Life and Work of Madhava - Lecture 3

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Explore Madhava's groundbreaking mathematical contributions, including calculus foundations, infinite series, and abstract approaches, in this lecture by P P Divakaran on the 14th-century Kerala mathematician's life and work.
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13 Lesons
1 hour 19 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Man Who Invented Calculus: The Life and Work of Madhava - Lecture 1

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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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45 Lesons
1 hour 58 minutes
On-Demand
Free-Video
International Centre for Theoretical Sciences

The Finite Part of Infinity by Joseph Samuel

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Explore the paradoxical equation 1+2+3...=-1/12, its mathematical interpretation, and its impact on physics, including the Casimir effect, with insights from differential geometry and topology.
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19 Lesons
1 hour 35 minutes
On-Demand
Free-Video
ICTP Mathematics

Regularity Theory for Area-Minimizing Currents

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Explore advanced concepts in geometric measure theory, including currents, boundaries, and regularity theory for area-minimizing surfaces, with applications to optimal transport problems.
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15 Lesons
1 hour 53 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 9

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques from standard to unconventional, with practical examples and applications in mathematics.
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12 Lesons
1 hour 36 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 8

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns. Learn techniques like Euler-Maclaurin formula and less standard approaches with practical examples.
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7 Lesons
1 hour 36 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 6

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Explore advanced asymptotic methods for evaluating infinite sums and recognizing sequence patterns, with practical examples and techniques for high-precision numerical computations.
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6 Lesons
1 hour 31 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 5

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Explore advanced asymptotic methods for evaluating infinite sums and sequences, including Euler-Maclaurin formula variants and less conventional techniques, with practical examples and applications.
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14 Lesons
1 hour 40 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 12

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
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1 Lesons
1 hour 29 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 11

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in mathematical analysis.
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1 Lesons
1 hour 24 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 10

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with applications to complex mathematical problems.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 7

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
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1 Lesons
1 hour 33 minutes
On-Demand
Free-Video
Insights into Mathematics

Building On-Sequences: From Constant to Polynumber - Math Foundations 100

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Explores the concept of on-sequences, starting with constant and polynumber types. Covers arithmetic operations, visualization techniques, and connections to the Online Encyclopedia of Integer Sequences.
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9 Lesons
26 minutes
On-Demand
Free-Video
Numberphile

Does -1/12 Protect Us From Infinity? - Revisiting the Sum of Integers

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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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1 Lesons
21 minutes
On-Demand
Free-Video
Numberphile

The Return of -1/12 - Exploring Divergent Series in Mathematics

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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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1 Lesons
25 minutes
On-Demand
Free-Video
Gresham College

How to Prove 1 = 0 and Other Mathematical Illusions

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Explore mathematical illusions and logical fallacies in proofs, uncovering common mistakes and their implications. Learn to spot errors and understand the importance of rigorous mathematical reasoning.
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16 Lesons
1 hour 4 minutes
On-Demand
Free-Video
Insights into Mathematics

Dispelling Limit Confusions in Pure Mathematics - Three Types of Series Limits

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Clarifies misconceptions about limits in mathematics, exploring three types of limiting behavior in infinite series and the Cauchy condition's role in analysis.
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6 Lesons
25 minutes
On-Demand
Free-Video
Mathologer

Way Beyond the Golden Ratio - The Power of AB=A+B

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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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8 Lesons
50 minutes
On-Demand
Free-Video
Wrath of Math

Ratio Test for Infinite Series - Calculus 2

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Learn to apply the ratio test for determining absolute convergence of infinite series, with clear explanations and practical examples in calculus.
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8 Lesons
12 minutes
On-Demand
Free-Video
Wrath of Math

Limit Comparison Test for Infinite Series - Calculus 2

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Master the limit comparison test for infinite series convergence and divergence. Learn the proof, apply it to examples, and enhance your calculus skills in this concise tutorial.
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6 Lesons
12 minutes
On-Demand
Free-Video
ICTP Mathematics

Standard and Less Standard Asymptotic Methods - Lecture 4

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Explore advanced techniques for evaluating infinite sums and recognizing asymptotic patterns in numerical sequences, with practical examples and applications in various mathematical fields.
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1 Lesons
1 hour 32 minutes
On-Demand
Free-Video
TED

Paper Towns and Why Learning Is Awesome

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John Green explores the joy of learning outside traditional classrooms, highlighting online communities as vibrant spaces for intellectual growth and shared curiosity about diverse topics.
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11 Lesons
18 minutes
On-Demand
Free-Video
Wrath of Math

The Probability of Relatively Prime Numbers - A Mathematical Analysis

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Explore the fascinating probability of coprime numbers through infinite series, the Basel problem, and fundamental probability laws - all explained with clear mathematical reasoning.
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7 Lesons
19 minutes
On-Demand
Free-Video