Euler & Gauss Octave Lab Bundle ------------------------------- All files run in GNU Octave 7+ with no toolboxes. Files: phi_euler.m - Euler's totient totient_sieve.m - visualize coprimes euler_identity_basel.m - e^{i pi}, Basel sum, e series euler_method.m - explicit Euler ODE integrator euler_product_zeta.m - Euler product for zeta(s) konigsberg_check.m - Eulerian trail condition, V-E+F modular_clock.m - congruence a mod m visualization gaussian_integers.m - Z[i] norm and prime test gaussian_bell.m - normal distribution 68-95-99.7 gauss_fit.m - least squares (Gauss 1809) curvature_demo.m - Theorema Egregium K = kappa1*kappa2 Usage: octave> phi_euler(12) octave> euler_method(@(x,y) -1.5*y, 0,1,4,0.2) octave> gauss_fit((0:10)', 2*(0:10)'+randn(11,1)) octave> gaussian_bell(0,1) octave> curvature_demo(1,1) octave> modular_clock(7,12) These correspond 1-to-1 with the interactive demos in the HTML compendium.