Archive
Sorted by tags. Here’s the archive page sorted by categories or by date.
Main tags: [Book reviews] [Life@HongKong] [Life@Oxford] [Movie reviews] [Oxford admissions] [Secondary maths] [Tourism] Maths tags: [Alg top] [Calculus] [Complex analysis] [Diff eqs] [Diff geom] [Dynamical systems] [Group theory] [Lie groups] [Linear algebra] [Number theory] [Physics] [Proj geom] [Real analysis] [Topology]
Main tags
Book reviews
- Norwegian Wood - Haruki Murakami
- War and Peace - Leo Tolstoy
- From Immigrant to Inventor - Mihajlo Pupin
- The Creative Act - Rick Rubin
- I Want to be a Mathematician - Paul Halmos
- The Art of Doing Science and Engineering - Richard Hamming
Life@HongKong
- An Autumn in Hong Kong: Input/output
- Finding English Classics in HK and Shenzhen
- An Easter in UK and HK: Bookshops and Cinemas
- A Summer in Hong Kong: Adapting to Change
Life@Oxford
- Final term at Oxford: Truth-seeking and Storytelling
- Tenth Term at Oxford: Fleeting Present
- Third Year at Oxford: Exams
- Third Easter in Oxford: Extended Essay
- Eighth Term at Oxford: Reading and Thinking
- Third Christmas in Oxford: Professional vs Personal
- Seventh Term at Oxford: Maths Applied
- Second Summer in Oxford: Bristol and Cambridge
- Second Year at Oxford: Ring binders
- Second Easter in Oxford: Writing and Walking
- Fifth Term at Oxford: 9 to 5
- Second Christmas in Oxford: Walking
- Fourth Term at Oxford: Lectures and Routines
- First Summer in Oxford: Sunlight and Heatwaves
- First Year at Oxford: Urgency and Importance
- Second Term at Oxford: Skipping lectures
- First Term at Oxford: Work, work, work
Movie reviews
Oxford admissions
- Graph sketching techniques
- Tackling Oxford Mathematics Interviews (Undergraduate)
- Making a mathematics personal statement personal
- Tackling the Oxford MAT
- Choosing a college at Oxford (Undergraduate)
- Applying to Oxford Mathematics (Undergraduate)
Secondary maths
- Graph sketching techniques
- Understanding linear fractional transformations
- Calculator Programming
- Introduction to symmetries and its applications
- Opportunities learning maths beyond the syllabus in HK
- Three ways of thinking about matrix multiplication
- HKDSE Physics and M2 (Part III)
- HKDSE Physics and M2 (Part II)
- HKDSE Physics and M2 (Part I)
- Euler's formula and compound angle formulae
Math tags
Alg top
Calculus
Complex analysis
Diff eqs
Diff geom
- Understanding the hyperbolic plane with refraction
- Geometry of curves and projectile motion
- Applications of Lie Groups to Differential Equations
- Levi-Civita Symbol (Part II)
- Levi-Civita Symbol (Part I)
Dynamical systems
- A circle and a hyperbola living in one plot
- Visualising bifurications
- Visualising linear dynamical systems directly
Group theory
- Visualising composition series
- Visualising the group isomorphism theorems
- Structures closed under intersections
Lie groups
Linear algebra
- A circle and a hyperbola living in one plot
- Using matrices to understand polynomials
- Visualising linear dynamical systems directly
- Visualising invertibility and diagonalisability of matrices
- Euclidean algorithm and GL(2, Z)
- Understanding the dual space
- Understanding the Jordan Normal Form
- Three ways of thinking about matrix multiplication
- Showing preservation of properties under multiplication via difference of squares
Number theory
Physics
- A physical interepertation of trigonometric substitution
- Partial derivatives of the radius
- Understanding the hyperbolic plane with refraction
- Understanding potential wells
- Calculus of inverse functions: Inverse function theorem and the Legendre transformation (Part I)
- Constructing homotopies using gravity
- Geometry of curves and projectile motion
- Applications of Lie Groups to Differential Equations
- Levi-Civita Symbol (Part II)
- Levi-Civita Symbol (Part I)
Proj geom
- The Gudermannian
- A physical interepertation of trigonometric substitution
- Visualising invertibility and diagonalisability of matrices
- Understanding linear fractional transformations
- Playing with the real projective plane
Real analysis
- Understanding Green's theorem
- Another visualization of the second fundamental theorem of calculus
- Calculus of inverse functions: Inverse function theorem and the Legendre transformation (Part I)
- Complex function plotter
- Pedagogically weaker notions of continuity
- Structures closed under intersections
- Extending sequences into smooth functions using trignometric functions
- Showing preservation of properties under multiplication via difference of squares
- Another example of pointwise but not uniform convergence