Mathematics
Crates with a mathematical aspect.
For most general-purpose math needs, nalgebra↗ (linear algebra) and rand↗ (random numbers) are excellent starting points. For graphics or game development, glam↗ is often preferred. For statistics, statrs↗ is comprehensive.If you're doing numerical computing, ndarray↗. There are also specific crates available for specialized areas like number theory or units of measurement.
Trigonometry
| Recipe | Crates | Categories |
|---|---|---|
| Calculate the Side Length of a Triangle |  |  |
Verify that tan is Equal to sin Divided by cos | | |
| Calculate the Distance Between two Points on Earth | | |
Linear Algebra
Vectors, matrices, eigenvalues, and eigenvectors. Key crates include:
nalgebra↗: A widely used and mature linear algebra library. Excellent for general-purpose linear algebra.glam↗: A fast and ergonomic linear algebra library designed for graphics and games. Often preferred in those contexts.ultraviolet↗: Another linear algebra library, with a focus on graphics.ndarray↗: For N-dimensional arrays.Essential for numerical computation and data analysis.nalgebra-lapack↗ provides LAPACK bindings for linear algebra operations.
| Recipe | Crates | Categories |
|---|---|---|
| Calculate Vector Norms |  |  |
| Add Matrices | | |
| Multiply Matrices | | |
| Multiply a Scalar with a Vector and a Matrix | | |
| Invert a Matrix |  | |
| Compare Vectors | | |
| (De)serialize a Matrix | | |
Probability and Statistics
Random variables, distributions, and hypothesis testing. Probabilistic models, stochastic processes, and statistical inference.
statrs↗: A comprehensive statistics library.rand↗: While primarily for random number generation,rand↗ also provides some statistical distributions and functions.
| Recipe | Crates | Categories |
|---|---|---|
| Calculate Measures of Central Tendency | | |
| Compute the Standard Deviation | | |
Random Number Generation
Generating random numbers for simulations, cryptography, etc.
rand↗: A popular and widely used random number generator crate.
Additional Numeric Types
num-bigint↗ for arbitrary-precision integers.num-rational↗ for rational numbers.num↗: A crate that provides numeric traits and other utilities.
| Recipe | Crates | Categories |
|---|---|---|
| Abstract over Different Number Types |  | |
| Use Big Integers |    | |
| Use Big Decimals |  | |
| Sort Floats |  | |
num-bigint | | |
num | | |
rug | | |
typenum |  | |
Complex Numbers
num-complex↗ for working with complex numbers.
| Recipe | Crates | Categories |
|---|---|---|
| Create Complex Numbers | | |
| Add Complex Numbers | | |
| Use Mathematical Functions on Complex Numbers | | |
Numerical Analysis
Numerical integration, differentiation, and root-finding.
rust-num: numerical traits and operations.ndarray↗: numerical computations.
Optimization
Linear, nonlinear, and integer programming. Convex analysis. Game theory and decision-making models.
argmin↗ is a pure Rust optimization library.
Differential Equations
Ordinary and partial differential equations and dynamical systems. Stability analysis, chaos theory, and control systems.
Graph Theory
Graphs, networks, and shortest paths.
petgraph↗ (graph data structures and algorithms).
Discrete Mathematics
Combinatorics, set theory, and logic.
Units of Measurement
uom↗: A type-safe dimensional analysis library.
Related Topics
- Algorithms.
- Cryptography.
- Plotting and Graphing: Visualization.
- Randomness.
- Sorting.
Applications
- Classical Machine Learning.
- Deep Learning.
- Science.
- Geoscience.
- Neuroscience.
- Robotics.
- Search.
- Simulation.