Recent content by Boon

  1. Boon

    A Fréchet derivative derivation

    In Stone & Goldbart's Mathematics for Physics, in section 1.2.1 on the Calculus of Variations, they derive the Fréchet derivative. Part of the derivation is as follows: Equation 1: J[y + εη] - J[y] = ∫ { f(x, y + εη, y' + εη') - f(x, y, y') } dx Equation 2: J[y + εη] - J[y] = ∫ { εη ∂f/∂y + ε...
  2. Boon

    Other Can't shake the feeling I should be in Physics....

    I graduated with a first class honors undergraduate in experimental Physics from the top university in my country - the degree was plainly called Physics but the university does offer a Theoretical Physics course too. After a year of unemployment and not knowing what to do in life, I enrolled...
  3. Boon

    Grasping the Properties of Minkowski Space

    Thanks for your reply. It seems that I've misunderstood the nature of Minkowski space indeed. Regarding the Lorentz transformations - what other forms can they take? I'm only familiar with their representation as 4x4 square matrices that include elements which are hyperbolic trigonometric...
  4. Boon

    Grasping the Properties of Minkowski Space

    I'm trying to get an intuitive feel for Minkowski space in the context of Special Relativity. I should mention that I have not studied (but hope to) the mathematics of topology, manifolds, curved spaced etc., but I'm loosely familiar with some of the basic concepts. I understand that spacetime...
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