MesFonctions

My Functions is an interactive gallery of 200 mathematical functions, from the most elementary (the constant) to the most dizzying (Weierstrass, Cantor, Fresnel, 3D torus knots…). Each card shows: The mathematical formula The family name (trigonometric, wavelets, neural activations, 3D curves, probability distributions…) The name of the discoverer and their date, when known A dynamic, interactive graph INTERACT WITH THE CURVE Adjust parameters (a, b, c, n…) with sliders: the graph updates in real time. Pinch to zoom, drag to pan, the Home button reframes. A log-Y toggle switches to logarithmic scale for distributions and exponentials. DERIVATIVE, INTEGRAL, PROPERTIES For explicit functions, three chips activate: f'(x) — numerical derivative overlaid in green ∫ f — cumulative integral in orange Properties — domain, range, parity, zeros, extrema and boundary limits, computed live LISTEN TO FUNCTIONS Every curve can be "sonified": its shape becomes a wavetable played at 220 Hz, and its FM and AM modulation follow the curve scanned across time. A mathematical chirp becomes an acoustic chirp, a gaussian becomes a bell, Cornu's spiral sings. Pin a second function and hear two simultaneous voices, separated by a perfect fifth, to compare curves by ear. COMPARE, PIN, SHARE Pin a function: its curve appears as a purple ghost on every other card. Export any card as a high-resolution PNG or a vector PDF — share via AirDrop, Photos, Files, Mail. NAVIGATE Text search (name, family, formula, discoverer) Filter by family (30+ families) Sort by complexity, alphabetical, or random Favorites persisted between sessions Table of Contents grouped by family Jump directly by number (1 → 200) Horizontal swipe, First / Last buttons WHAT YOU WILL FIND Polynomials, trigonometric, hyperbolic, exponentials, logarithms, wavelets (Ricker, Morlet, Kaiser), special functions (Gamma, Bessel, Airy, Riemann ζ, Fresnel, elliptic integrals), probability distributions (Gauss, Cauchy, Weibull, Pareto, Wigner, Rice, Nakagami, Kumaraswamy…), neural activations (ReLU, GELU, Mish, SELU, Snake), Fourier series, signal windows, physics (Planck, Bose-Einstein, Fermi-Dirac, Debye), geometric curves (cardioid, lemniscate, astroid, heart, Fay's butterfly), spirals (Fermat, Cornu, golden, hyperbolic), and 3D curves (trefoil knot, helices, torus, Viviani). MADE FOR Students — to breathe life into formulas Teachers — a visual presentation tool The curious — to rediscover the beauty of math Developers and engineers — a quick reference No ads, no account, no tracking. 100% offline. Universal for iPhone, iPad and Mac (with NavigationSplitView). Enjoy the journey between the curves.