Are you looking for an alphabetical list of Significant Mathematical Equations that you can easily copy or download in popular formats like PDF, CSV, XML, JSON, and more?
Pythagorean Theorem: a^2 + b^2 = c^2 Law of Sines: a/sin(A) = b/sin(B) = c/sin(C) Law of Cosines: c^2 = a^2 + b^2 - 2ab*cos(C) Euler's Formula: e^(ix) = cos(x) + i*sin(x) Euler's Identity: e^(iπ) + 1 = 0 Quadratic Formula: x = [-b ± sqrt(b^2 - 4ac)] / (2a) Distance Formula: d = sqrt[(x2 - x1)^2 + (y2 - y1)^2] Slope-Intercept Form: y = mx + b Point-Slope Form: y - y1 = m(x - x1) Binomial Theorem: (x + y)^n = Σ (n choose k) (x^k)(y^(n-k)) Compound Interest: A = P(1 + r/n)^(nt) Continuous Compound Interest: A = Pe^(rt) Area of a Circle: A = πr^2 Circumference of a Circle: C = 2πr Volume of a Sphere: V = 4/3πr^3 Surface Area of a Sphere: A = 4πr^2 Volume of a Cylinder: V = πr^2h Surface Area of a Cylinder: A = 2πrh + 2πr^2 Area of a Triangle: A = 1/2bh Heron's Formula: A = sqrt[s(s - a)(s - b)(s - c)] Logarithm Properties: log_b(mn) = log_b(m) + log_b(n) Natural Logarithm: ln(x) = log_e(x) Power Rule of Logarithms: log_b(m^n) = n*log_b(m) Change of Base Formula: log_b(a) = log_c(a) / log_c(b) Exponential Growth: N = N0*e^(rt) Newton's Law of Cooling: T(t) = Ts + (T0 - Ts)e^(-kt) Fourier Series: f(x) = a0 + Σ [an*cos(nπx/L) + bn*sin(nπx/L)] Taylor Series: f(x) = Σ (f^n(a) / n!) * (x - a)^n Maclaurin Series: f(x) = Σ (f^n(0) / n!) * x^n Stokes' Theorem: ∫∫_S (curl F) . dS = ∮_C F . dr Gauss's Law: ∮_S E . dA = Q / ε0 Maxwell's Equations: ∇⋅E = ρ / ε0, ∇⋅B = 0, ∇×E = -∂B/∂t, ∇×B = μ0(J + ε0∂E/∂t) Schrodinger Equation: iħ∂ψ/∂t = -ħ^2/2m * ∇^2ψ + Vψ Einstein's Field Equations: R_μν - 1/2g_μνR = 8πGT_μν Einstein's Mass-Energy Equivalence: E = mc^2 Navier-Stokes Equation: ρ(∂v/∂t + v⋅∇v) = -∇p + ∇⋅T + f Laplace's Equation: ∇^2f = 0 Heat Equation: ∂u/∂t = α∇^2u Wave Equation: ∂^2u/∂t^2 = c^2∇^2u Fick's First Law: J = -D∇φ Fick's Second Law: ∂φ/∂t = D∇^2φ Poisson's Equation: ∇^2φ = -ρ/ε0 Ideal Gas Law: PV = nRT Boyle's Law: P1V1 = P2V2 Charles's Law: V1/T1 = V2/T2 Gay-Lussac's Law: P1/T1 = P2/T2 Avogadro's Law: V1/n1 = V2/n2 Ohm's Law: V = IR Kirchhoff's Voltage Law: ΣV = 0 Kirchhoff's Current Law: ΣI = 0 Coulomb's Law: F = kq1q2/r^2 Hooke's Law: F = -kx Newton's Second Law: F = ma Newton's Law of Universal Gravitation: F = Gm1m2/r^2 Snell's Law: n1sin(θ1) = n2sin(θ2)