Uploads from Mathemaniac
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Curated by: Mathemaniac (96 videos)
Tracks in this Playlist
- The part of vector calculus I finally understand | Differential forms #4
- Generalised Stokes' Theorem | Differential forms #3
- What are differential forms? | Differential forms #2
- Why care about differential forms? | Differential forms #1
- 4D rotational symmetry hidden in Newtonian gravity
- The hidden conservation law of gravity
- All power-law force has a conformal dual
- How Newton deduced gravity obeys inverse square law | Hidden gems #2
- Why (still) care about Newtonian gravity? | Hidden gems #1
- I finally find least action principle satisfying
- The most important theorem in (differential) geometry | Euler characteristic #3
- 7-colour theorem on the torus | Euler characteristic #2
- The "textbook exercise" on Euler characteristic | Euler characteristic #1
- How physics solves a math problem (and a 3D graphics problem)
- The clever way curvature is described in math
- Lie algebras visualized: why are they defined like that? Why Jacobi identity?
- Matrix trace isn't just summing the diagonal | Lie groups, algebras, brackets #5
- Can we exponentiate d/dx? Vector (fields)? What is exp? | Lie groups, algebras, brackets #4
- What is Lie theory? Here is the big picture. | Lie groups, algebras, brackets #3
- How to rotate in higher dimensions? Complex dimensions? | Lie groups, algebras, brackets #2
- Why study Lie theory? | Lie groups, algebras, brackets #1
- How many terms do we need in the exp series?
- Queuing theory and Poisson process
- Theorema Egregium: why all maps are wrong
- The biggest misconception about spin 1/2
- I use PowerPoint to edit all* videos (and hit 100k subs!)
- The deeper meaning of matrix transpose
- How hard was my Cambridge interview? (ft. @TomRocksMaths)
- Random walks in 2D and 3D are fundamentally different (Markov chains approach)
- The weirdest paradox in statistics (and machine learning)
- Why you can't solve quintic equations (Galois theory approach) #SoME2
- The simplest reason why π/4 = 1 - 1/3 + 1/5 -...
- The geometric interpretation of sin x = x - x³/3! + x⁵/5! -...
- Complex integration, Cauchy and residue theorems | Essence of Complex Analysis #6
- What if we define 1/0 = ∞? | Möbius transformations visualized
- What do complex functions look like? | Essence of complex analysis #4
- The 5 ways to visualize complex functions | Essence of complex analysis #3
- What are complex numbers? | Essence of complex analysis #2
- Why care about complex analysis? | Essence of complex analysis #1
- Green's functions: the genius way to solve DEs
- From miller to entering Cambridge at age 40 - George Green
- Solved simply: the impossible integral
- What is Jacobian? | The right way of thinking derivatives and integrals
- The numerical simulation is NOT as easy as you think! - Average distance #2
- Dream cheating scandal - explaining ALL the math simply
- What is the average distance of two points in a disc? (PART 1)
- Icosahedral symmetry - conjugacy classes and simplicity
- Without integration, why is the volume of a paraboloid half of its inscribing cylinder? (DIw/oI #8)
- Problem of Apollonius - what does it teach us about problem solving?
- Burnside's Lemma (Part 2) - combining math, science and music
- Burnside's Lemma (Part 1) - combining group theory and combinatorics
- Limitations of mathematical models; historical context of BGW process [PART III]
- How likely is coronavirus (COVID-19) eradicated? [PART II]
- Alternative to SIR: Modelling coronavirus (COVID-19) with stochastic process [PART I]
- Summary: an example covering ALL group theory concepts!! | Essence of Group Theory
- Chapter 7: Group actions, symmetric group and Cayley’s theorem | Essence of Group Theory
- Two opposite games involving golden ratio (ft. Tom Rocks Maths)
- Chapter 6: Homomorphism and (first) isomorphism theorem | Essence of Group Theory
- Chapter 5: Quotient groups | Essence of Group Theory
- How will the COVID-19 (coronavirus) epidemic end?
- Chapter 4: Conjugation, normal subgroups and simple groups | Essence of Group Theory
- Chapter 3: Lagrange's theorem, Subgroups and Cosets | Essence of Group Theory
- Chapter 2: Orbit-Stabiliser Theorem | Essence of Group Theory
- Chapter 1: Symmetries, Groups and Actions | Essence of Group Theory
- Power rule of integrals not using integration; definition of e | DIw/oI #7
- How do I love math? (Part II - Proof without words)
- How is pi calculated to trillions of digits?
- Why does R(4,4)=18?
- Proof of Ramsey's theorem
- Rhapsody on Ramsey numbers (and aliens?)
- 15-year-old did mathematical research?! What was my thinking process back then?
- The art of generalization in Mathematics | DDC #4
- More ways of deriving Catalan numbers | DDC #3
- Catalan numbers are not in Catalan | DDC #2
- Crash Course in Combinatorics | DDC #1
- Deep Dive into Combinatorics (Introduction)
- A mistake that is not wrong | Shorts #3
- What is mathematical elegance? How do I love math? | Shorts #2
- Using physics to compute integrals | DIw/oI #5
- Indefinite integrals? Cavalieri’s quadrature? Complex analysis? | DIw/oI #6
- Ancient Greeks (Archimedes) almost discovered calculus! | DIw/oI #4
- Algebra vs Geometry in Trigonometry | DIw/oI #3
- We can compute the integral of sine geometrically? | DIw/oI #2
- Doing integrals without integration (Part I)
- What is the next term of a sequence? | Shorts #1
- Everything you need to know about operations in modular arithmetic
- Untold connection: Lagrange and ancient Chinese problem
- Finding Fibonacci general term using LINEAR ALGEBRA
- 5 ways to derive the general term of Fibonacci sequence
- STAIRS reveal the relationship between Fibonacci and combinatorics
- What do Fibonacci numbers have to do with combinatorics?
- 4 DIFFERENT ways to prove Heron's formula
- Cosine law and properties of cyclic quadrilaterals
- Generalizing methods to calculate square roots to cube roots
- EXPLAINED: Calculating square roots easily (BABYLONIAN and more)
- Calculating square roots easily IN 3 WAYS (BABYLONIAN and more)