∑ CALCULUS – Ultimate Physics & Math Engine

🧮 ∑ CALCULUS is not just a calculator – it's a full‑fledged scientific computing environment designed for students, engineers, physicists, and math enthusiasts. Whether you need to solve a quadratic equation, plot a complex function, compute matrix determinants, analyse statistical data, or look up physical constants, this tool has you covered – all in one sleek, dark‑themed interface.

Built with a powerful expression engine that supports trig functions (in RAD or DEG mode), logarithms, factorials, constants (π, e, φ, G, and more), and even custom memory (M+ / MR), the standard calculator alone is a beast. But that's just the beginning.

Switch between seven powerful panels:

• 🧮 Standard Calculator – full scientific functionality with history and memory.
• 🔍 Equation Solver – find real roots of any equation numerically (bisection method).
• 📈 Function Grapher – plot multiple functions simultaneously with custom ranges.
• ⬛ Matrix Operations – add, subtract, multiply, transpose, invert, find determinants, trace, and norm.
• 📊 Descriptive Statistics – compute mean, median, std dev, variance, quartiles, skewness, and more from a dataset.
• ⚛️ Physics Formulas – browse 30+ essential formulas from mechanics, electromagnetism, thermodynamics, mathematics, and quantum physics – click any to use it in the solver.
• 🔬 Physical Constants – 24 constants at your fingertips; click to insert into calculations.
• ⚖️ Unit Converter – convert length, mass, temperature, time, energy, pressure, speed, and angle.

Everything is client‑side – no data is sent anywhere. Your calculations, graphs, and matrix data stay in your browser.

✨ Features:

• 🧮 Full scientific calculator – trig (sin, cos, tan, asin, acos, atan), log (ln, log, log₂), exp, sqrt, cbrt, factorial, powers, constants, and more.
• 📐 RAD / DEG mode toggle – work in radians or degrees for all trig functions.
• 🔍 Equation solver – numerically finds real roots of any equation (e.g., x² - 5x + 6 = 0).
• 📈 Function grapher – plot up to 6 functions on the same canvas with custom x/y ranges; supports sin, cos, tan, sqrt, exp, log, and more.
• ⬛ Matrix operations – full support for 2D matrices (up to 6×6): addition, subtraction, multiplication, transpose, determinant, trace, inverse, and norm.
• 📊 Statistics – compute mean, median, standard deviation, variance, min, max, range, IQR, quartiles, skewness, geometric mean, harmonic mean, and coefficient of variation.
• ⚛️ Physics formula library – 30+ formulas with descriptions and variables; click to insert into the solver.
• 🔬 Physical constants – 24 constants (c, h, ℏ, G, e, mₑ, mₚ, Nₐ, kB, R, σ, ε₀, μ₀, π, e, φ, and more) – click to use.
• ⚖️ Unit converter – convert between 50+ units across 8 categories (length, mass, temperature, time, energy, pressure, speed, angle).
• 📜 Calculation history – your last 20 calculations are stored for quick recall.
• 🎨 Dark, cyber‑inspired UI – easy on the eyes, perfect for late‑night study sessions.
• ⌨️ Keyboard support – use your keyboard in the calculator panel (numbers, operators, Enter, Backspace, Esc).
• 💾 No dependencies – everything runs locally; no internet needed after first load.

📦 How to use:

1. Open the app – you're greeted with the standard calculator panel.
2. Use the calculator – click buttons or type with your keyboard. Use ANS to recall the last result, M+/MR/MC for memory.
3. Switch modes – click RAD or DEG in the header to change trig mode.
4. Explore other panels – use the sidebar to switch between:
   • Equation Solver – type an equation with x (e.g., x**2 - 5*x + 6 = 0) and click SOLVE.
   • Function Grapher – enter a function (e.g., sin(x), x**2, exp(-x**2)) and click Plot. Adjust ranges and redraw.
   • Matrix Ops – resize matrices (up to 6×6), enter values, and run operations.
   • Statistics – paste or type numbers (comma or space separated) and see stats update live.
   • Physics Formulas – browse formulas, click one to use it in the solver.
   • Constants – click any constant to insert it into the calculator.
   • Unit Converter – enter a value, select from/to units, and convert instantly.
5. Use physics solvers – in the solver panel, click any quick solver (e.g., "Kinematics", "Ohm's Law") to get a dedicated input form.
6. Graph multiple functions – keep adding functions; they're plotted together with different colours.

💡 Perfect for:

• Students – from high school to university (physics, math, engineering).
• Teachers and educators – demonstrate formulas and graphs interactively.
• Engineers and scientists – quick calculations on the go.
• Developers – studying or building scientific web applications.
• Anyone who needs a powerful, offline‑capable scientific tool.
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