Formulae

Formulae is the definitive mathematics formula reference for the iPhone and iPod touch.

All Categories:

Algebra
- Arithmetic
- Exponents & Logarithms
- Formulas
Geometry
- Conic Sections
- 2D Shapes
- 3D Shapes
- 3D Surfaces
Trigonometry
- Trig Functions
- Table of Angles
- Triangle Definitions
- Series Definitions
- Exponential Definitions
- Sign Identities
- Triangle Identities
- Pythagorean Identities
- Complement & Supplement
- Addition Formulas
- Double & Half Angle
Vectors
- Vector Arithmetic
- Dot Product
- Cross Product
- Coordinate Systems
- Vector Operators
Complex Numbers
- Compex Arithmetic
- Euler's Formula
- Phasors
Sequences & Series
- Series Definitions
- Sums of Powers
- Power Series
- Binomial Series
- Functions as Series
- Taylor Series
- Fourier Series
Probability & Statistics
- Permutations & Combinations
- Probability Formulas
- Discrete Statistics
  - Basic Formulas
  - Binomial Distribution
  - Hypergeometric Distribution
  - Negative Binomial Distribution
  - Poisson Distribution
- Continuous Statistics
  - Basic Formulas
  - Uniform Distribution
  - Normal Distribution
  - Exponential Distribution
  - Gamma Distribution
  - Lognormal Distribution
Calculus
- The Derivative
- Rules of Differentiation
- Derivatives of Functions
- The Integral
- Rules of Integration
- List of Integrals
  - Basic Functions, Trigonometric Functions, Trigonometric Powers, Trigonometric Products, Hyperbolic Functions, (a + bu) in Denominator, (a² +- u²) in Denominator, Square Root of (a + bu), Square Root of (a² + u²), Square Root of (a² - u²), Square Root of (u² - a²) Definite Integrals
Differential Equations
- First-Order Equations
- Second-Order Equations
Linear Algebra
- Matrix Algebra
- Cramer's Rule
- Invertibility
- Orthogonality
- Useful Formulas
- 2D Transforms
- 3D Transforms
- QR-Factorization
Linear Transforms
- Laplace Transform
- Fourier Transform
- Z-Transform
Physics
- Units of Measurement
- SI Unit Prefixes
- Physical Constants
- Kinematics
- Angular Kinematics
- Moments of Inertia
- Fluids
- Waves
- Thermodynamics
- Electricity
- Electric Circuits
- Magnetism
- Maxwell's Equations
- Optics

If you have a formula request, or if you find any errata, please email us.

Apple, the Apple logo, iPod, and iTunes are trademarks of Apple Inc., registered in the U.S. and other countries.
iPhone is a trademark of Apple Inc.