趣味の大学数学
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大学数学をこれから知りたい人に、数学科卒が解説 【運営者】 木村すらいむ 【プロフィール】 ウェブサイト「趣味の大学 ...
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音频 (37)
![Panda or Gibbon? Understanding AI Misclassification Through Probabilities [Adversarial Examples]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FaKgGLKwtOBI%2Fhqdefault.jpg)
Panda or Gibbon? Understanding AI Misclassification Through Probabilities [Adversarial Examples]

The Mathematics That Saved the Blurry Hubble Telescope

The Irrationality Measure of π is 2: From a Math Puzzle to Solving a 73-Year-Old Mystery

Do Collections of Lines Form a Circle?: An Introduction to Quotient Sets

Can AI Math Be Trusted? The Mechanics and Limitations of Lean (Formal Proof)

Reading Peaks and Valleys from a Formula: Quadratic Forms and the Hessian

Does Mathematical Induction Assume It Holds for "Some k"?

The Light and Dark Sides of the Navier–Stokes Problem
![From Arithmetic to Open Problems: The History of AI Math [2026]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FiklpLqrTYRo%2Fhqdefault.jpg)
From Arithmetic to Open Problems: The History of AI Math [2026]

College Math: Keep Going Even When You Don't Understand

Cauchy Sequences and Completeness | The Shortest Course on Topological Spaces 12
![Connectedness [Fast Track to Topology ⑪]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FLrlOY8Yb8KU%2Fhqdefault.jpg)
Connectedness [Fast Track to Topology ⑪]

Compactness (Topological Spaces Express Course #10)

The 87-Year-Old Jacobian Conjecture Disproved with AI?

連続写像、同相【位相空間論の最短コース⑨】
![Open Sets, Closed Sets, and Topology [The Shortest Course in Topological Space Theory ⑧]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FY-ACpzy3fDs%2Fhqdefault.jpg)
Open Sets, Closed Sets, and Topology [The Shortest Course in Topological Space Theory ⑧]
![Interior, Closure, and Neighborhoods [Shortest Course in Topology ⑦]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2F7d4A74K5SJo%2Fhqdefault.jpg)
Interior, Closure, and Neighborhoods [Shortest Course in Topology ⑦]
![Open Sets and Closed Sets [The Shortest Course in Topology 6]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FD6KVzZ_TgPc%2Fhqdefault.jpg)
Open Sets and Closed Sets [The Shortest Course in Topology 6]
![Convergence and Boundedness [The Shortest Course in Topology ⑤]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FdQJxFZ9V_ic%2Fhqdefault.jpg)
Convergence and Boundedness [The Shortest Course in Topology ⑤]
![Metric Spaces [The Shortest Course in Topology #4]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2F4ufdlv_-7uw%2Fhqdefault.jpg)
Metric Spaces [The Shortest Course in Topology #4]
![Euclidean Distance [The Shortest Course in Topology Part 3]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FB7D8-xA9JVE%2Fhqdefault.jpg)
Euclidean Distance [The Shortest Course in Topology Part 3]
![The Set R^N and Its Subsets [The Shortest Course in Topology ②]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FI6zs3xlI0pw%2Fhqdefault.jpg)
The Set R^N and Its Subsets [The Shortest Course in Topology ②]

Aiming for Metric Spaces (Topology Fast Track #1)

A Guide to Appreciating Cool University Mathematical Terms

University Math Doesn't Need Talent. It Needs Confidence.

How to Learn University Math the Lazy Way (Use Responsibly)
![The Fastest Route to College Math: What to Study, in What Order [For Math Majors]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2F0al7iNnfoOg%2Fhqdefault.jpg)
The Fastest Route to College Math: What to Study, in What Order [For Math Majors]
![College Math Feels Boring? That's Fine [For Non-Math Majors]](/api/img?u=https%3A%2F%2Fi.ytimg.com%2Fvi%2FCLRtiObqvzY%2Fhqdefault.jpg)
College Math Feels Boring? That's Fine [For Non-Math Majors]

What Is Compactness For? (Compact Operators)

I'll answer your question about function spaces: "Are they truly linearly independent?"