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Mathematics
Pure Mathematics

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Learn Pure Mathematics, earn certificates with free online courses from The Open University, University of Oxford and other top universities around the world. Read reviews to decide if a class is right for you.

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Insights into Mathematics
Regular Polytopes and the Math vs Physics Issue

Explore the intriguing divergence between mathematical and physical reality through regular polytopes, challenging conventional wisdom about Platonic solids and examining Schlafli's classification of higher-dimensional regular solids.
- YouTube
- 26 minutes
- On-Demand
- Free Video
Applied Algebraic Topology Network
Vidit Nanda - Principal Components Along Quiver Representations

Principal components analysis for quiver representations: dimensionality reduction, comparison, and optimization techniques for vector-space valued representations across pure and applied mathematics.
- YouTube
- 41 minutes
- On-Demand
- Free Video
Fields Institute
The Canonical Base Property and CM-Triviality

Explore the Canonical Base Property and CM-triviality in model theory, covering key concepts, counterexamples, and applications in Lie algebras and amalgamation.
- YouTube
- 27 minutes
- On-Demand
- Free Video
Institute for Pure & Applied Mathematics (IPAM)
1 + 1 = 2 and (Time Permitting) 2 + 2 = 4

Explore fundamental mathematical proofs and arithmetic foundations through advanced mathematical reasoning and rigorous demonstration techniques.
- YouTube
- 53 minutes
- On-Demand
- Free Video
Insights into Mathematics
Logical Weaknesses in Modern Pure Mathematics - Real Numbers and Limits - Math Foundations 87

Explores logical weaknesses in modern pure mathematics, focusing on inconsistent rigor and problematic definitions. Challenges conventional views and invites discussion on foundational issues in mathematics.
- YouTube
- 27 minutes
- On-Demand
- Free Video
Insights into Mathematics
Towards a New Mathematics and Types versus Sets - Sociology and Pure Maths
1 review

Explore Box Arithmetic, a revolutionary approach to mathematics foundations using nested empty boxes instead of infinite sets, distinguishing types from sets.
- YouTube
- 14 minutes
- On-Demand
- Free Video
SAIConference
Exploring the Creative Union of Artificial Intelligence and Pure Mathematics

Explore the fusion of AI and pure mathematics, uncovering how machine learning can predict complex mathematical structures and potentially revolutionize theorem proving and scientific discovery.
- YouTube
- 34 minutes
- On-Demand
- Free Video
Dublin Institute for Advanced Studies DIAS
Mathematics and Physics: An Entangled Tango - The Dance Between Theoretical Physics and Pure Mathematics

Explore the fascinating interplay between theoretical physics and pure mathematics, from historical connections to modern string theory and unified theories of everything.
- YouTube
- 1 hour 3 minutes
- On-Demand
- Free Video
Isaac Newton Institute for Mathematical Sciences
High-Dimensional Expanders in Pure Mathematics and Computer Science

Explore high-dimensional expanders and their applications across pure mathematics and computer science in this Rothschild Public Lecture by Professor Alex Lubotzky.
- YouTube
- 1 hour 13 minutes
- On-Demand
- Free Video
Insights into Mathematics
A Socratic Look at Logical Weaknesses in Modern Pure Mathematics

Exploring logical weaknesses in pure mathematics, focusing on continuum, analysis, and set theory. Challenges conventional understanding of limits and introduces computational thinking perspectives.
- YouTube
- 52 minutes
- On-Demand
- Free Video
Insights into Mathematics
A Brief History of Geometry III - The 19th Century - Sociology and Pure Mathematics

Explore the golden age of geometry in the 19th century, covering inversive, projective, non-Euclidean, and complex geometries. Understand key developments and their impact on modern mathematics.
- YouTube
- 53 minutes
- On-Demand
- Free Video
Insights into Mathematics
A Brief History of Geometry - Sociology and Pure Mathematics

Explore geometry's evolution from ancient times to 1400 AD, covering key theorems, Platonic solids, and applications in astronomy, surveying, and construction. Highlights include Islamic contributions to spherical geometry.
- YouTube
- 27 minutes
- On-Demand
- Free Video
Introduction to group theory
3 ratings at OpenLearn

This free course is an introduction to group theory, one of the three main branches of pure mathematics. Section 1 looks at the set of symmetries of a two-dimensional figure which are then viewed ...
- OpenLearn
- 16 hours
- On-Demand
- Free Certificate
What Makes People Engage With Math

Discover strategies to make mathematics engaging and accessible with insights from a popular math educator, covering topics from pure math to real-world applications.
- YouTube
- 19 minutes
- On-Demand
- Conference Talk
Insights into Mathematics
Greek Pure Mathematics and the Infinitude of Primes - Sociology and Pure Maths - N J Wildberger

Exploring Euclid's proof of prime number infinitude, challenging modern interpretations, and emphasizing the historical significance of Greek mathematics in shaping pure mathematical thinking.
- YouTube
- 33 minutes
- On-Demand
- Free Video

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