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The Best YouTube Channels for Learning Mathematics

A curated guide to the best YouTube channels for learning mathematics, from visual intuition builders to full university lecture series, organized by level and topic.

Why YouTube for Mathematics?

YouTube has become one of the most valuable platforms for learning mathematics. The best math channels do not just repeat what textbooks say — they offer visual intuition, alternative perspectives, and the kind of motivated explanations that can transform your understanding of a subject.

This guide covers the best channels for mathematics students at every level, from those building foundational intuition to those studying graduate-level material.


Channels for Visual Intuition and Motivation

3Blue1Brown (Grant Sanderson)

3Blue1Brown is the most celebrated mathematics channel on YouTube, and for good reason. Grant Sanderson creates stunning animations using his custom Python library Manim to visualize mathematical concepts in ways that make them feel almost tangible.

Must-watch series:

  • Essence of Linear Algebra — a complete visual course on linear transformations, eigenvalues, and abstract vector spaces
  • Essence of Calculus — intuitive explanations of derivatives, integrals, and Taylor series
  • Neural Networks — the mathematics behind deep learning
  • Differential Equations — visualizing solutions through phase space

The strength of 3Blue1Brown is not in covering every detail, but in giving you the geometric and conceptual intuition that textbooks often assume you already have.

Recommendation: Watch the "Essence of Linear Algebra" series before or alongside your first linear algebra course. It will fundamentally change how you think about matrices and linear transformations.

Mathologer (Burkard Polster)

Mathologer features Burkard Polster, a mathematics professor at Monash University, who creates long-form videos exploring beautiful mathematical results. Topics include:

  • Visual proofs of the Basel problem (n=11n2=π26\sum_{n=1}^{\infty} \frac{1}{n^2} = \frac{\pi^2}{6})
  • Ramanujan's infinite series and continued fractions
  • The mathematics behind Escher's art
  • Euler's formula and polyhedra

Mathologer videos tend to be longer (30–60 minutes) and go deeper into proofs than most YouTube math content. They are excellent for students who want to see complete mathematical arguments presented visually.

Numberphile

Numberphile features interviews with mathematicians from around the world, each explaining an interesting mathematical topic. Hosted by Brady Haran, the channel covers everything from prime numbers to the Riemann hypothesis to the mathematics of juggling.

Numberphile is less rigorous than the channels above but excels at conveying the excitement and culture of mathematics. It is a great channel for maintaining your enthusiasm and discovering new topics.

Veritasium (Derek Muller)

Veritasium is primarily a science channel, but several of its most popular videos cover mathematical topics:

  • "The Simplest Math Problem No One Can Solve" (Collatz conjecture)
  • "How Imaginary Numbers Were Invented"
  • "The Discovery That Transformed Pi"

These videos are produced at an exceptionally high level and reach audiences of millions.


Channels for University-Level Courses

MIT OpenCourseWare

MIT OpenCourseWare provides full video lectures from MIT courses. Notable mathematics playlists include:

  • 18.06 Linear Algebra with Gilbert Strang — one of the most famous lecture series in mathematics
  • 18.01 Single Variable Calculus with David Jerison
  • 18.02 Multivariable Calculus with Denis Auroux
  • 18.065 Matrix Methods in Data Analysis with Gilbert Strang

These are complete university courses with full lectures, not condensed summaries. They are ideal for students who want the experience of attending lectures at a top university.

Harvard Math Lectures

Harvard has posted several excellent lecture series on YouTube, including:

  • Math 55 (Advanced Mathematics for Freshmen) selections
  • Math E-222 Abstract Algebra by Benedict Gross
  • Statistics 110 by Joe Blitzstein

Benedict Gross's abstract algebra lectures are particularly highly regarded as a clear and motivated introduction to groups, rings, and fields.

Frederic Schuller

Frederic Schuller has posted two extraordinary lecture series on YouTube:

  • Lectures on the Geometric Anatomy of Theoretical Physics — covering topology, differential geometry, fiber bundles, and connections, all aimed at mathematical physics
  • Lectures on Quantum Theory — a mathematically rigorous approach to quantum mechanics

These lectures are at the advanced undergraduate to graduate level and are some of the best freely available lectures on mathematical physics.

Hidden gem: Frederic Schuller's lectures are not widely known outside mathematical physics, but they are one of the best introductions to modern differential geometry for students who want both rigor and physical motivation.


Channels for Problem-Solving

Michael Penn

Michael Penn is a mathematics professor who posts daily videos working through interesting problems from:

  • Putnam competition problems
  • International Mathematical Olympiad problems
  • Interesting exercises from real analysis, algebra, and number theory
  • Surprising integrals and series

His style is clear and concise, and he shows every step of the solution process. This channel is excellent for students who want to improve their problem-solving skills.

blackpenredpen

blackpenredpen focuses on calculus, integral techniques, and competition problems. His trademark style uses two colored pens and a fast-paced, enthusiastic delivery. Topics include:

  • Challenging integral evaluations
  • Series summations
  • Calculus technique comparisons
  • "100 integrals" marathon videos

This channel is particularly popular among students studying for calculus exams.

Flammable Maths (Papa Flammy)

Flammable Maths covers advanced calculus, complex analysis, and interesting mathematical identities with an irreverent, humorous style. Topics often include:

  • Contour integrals and residue calculus
  • Special functions (Gamma function, Beta function, Riemann zeta function)
  • Unusual series and products

The informal tone makes advanced material feel approachable, though the mathematics itself is rigorous.


Channels for Specific Subjects

The Bright Side of Mathematics

The Bright Side of Mathematics provides structured playlists covering specific subjects with clear, blackboard-style presentations:

  • Real analysis
  • Functional analysis
  • Measure theory
  • Probability theory
  • Ordinary and partial differential equations
  • Distribution theory

Each playlist progresses systematically from definitions through major theorems, making these excellent companions to university courses.

Professor Leonard

Professor Leonard provides detailed, lecture-style videos covering:

  • Pre-calculus
  • Calculus I, II, and III
  • Differential equations
  • Statistics

His videos are long (often 2–3 hours per lecture) and extremely thorough. He explains every concept from the ground up, making him ideal for students who find their own professors move too quickly.

Dr. Peyam

Dr. Peyam covers a wide range of topics from calculus to real analysis and beyond, with an energetic presentation style. His channel includes:

  • Real analysis series (with careful epsilon-delta proofs)
  • Multivariable calculus
  • Interesting mathematical puzzles and paradoxes

Channels for Mathematical Culture and History

Tibees

Tibees creates calm, meditative videos about mathematics and physics culture, including:

  • "A day in the life of a math PhD student"
  • Walkthroughs of famous exams (Putnam, Cambridge Tripos)
  • Profiles of mathematicians and their work

Up and Atom (Jade Tan-Holmes)

Up and Atom covers the intersection of mathematics, physics, and computer science with well-researched, accessible explanations of topics like:

  • Gödel's incompleteness theorems
  • The Banach-Tarski paradox
  • P vs NP

How to Use YouTube Effectively for Math

1. Use YouTube as a Complement, Not a Replacement

YouTube videos are excellent for building intuition and hearing alternative explanations. But they cannot replace the experience of working through proofs and problems on your own.

Workflow: Watch a video to build intuition → Read the corresponding textbook section → Work through exercises → Return to the video if you are stuck on a specific point.

2. Adjust Playback Speed

Mathematics lectures often move slowly. Playing at 1.25x or 1.5x speed is perfectly fine for most content. For difficult material, slow down. For review, speed up.

3. Pause and Work Along

When a video presents a problem, pause the video and try it yourself before watching the solution. This active engagement is far more valuable than passive watching.

4. Create Playlists by Topic

Organize videos from different channels into playlists by topic. Your "Real Analysis" playlist might include videos from Bright Side of Mathematics, 3Blue1Brown, Dr. Peyam, and Michael Penn.

5. Use the Comment Section

YouTube comments on math videos are often surprisingly valuable. Other students ask clarifying questions, point out alternative approaches, and sometimes catch errors.


A Quick Reference Table

ChannelBest ForLevelStyle
3Blue1BrownVisual intuitionAll levelsAnimation
MathologerDeep visual proofsIntermediateLong-form animation
NumberphileInspiration and cultureAll levelsInterview
MIT OCWFull university coursesUndergraduateLecture
Michael PennProblem-solvingIntermediate to advancedBlackboard
blackpenredpenCalculus techniquesUndergraduateEnergetic
Bright Side of MathematicsStructured subject coursesIntermediate to advancedBlackboard
Professor LeonardThorough foundational coursesBeginner to intermediateLecture
Frederic SchullerMathematical physicsAdvancedLecture
Flammable MathsAdvanced calculus and analysisIntermediate to advancedInformal

Final Thoughts

The quality of free mathematics education on YouTube is remarkable. The channels listed here represent thousands of hours of careful explanation by talented educators and mathematicians. Combined with textbooks and problem sets, YouTube can be a powerful tool in your mathematical education.

The key is to use it actively — pause, think, work, and engage — rather than watching passively.


References