Examples for

# Applied Mathematics

Applied mathematics is the branch of mathematics devoted to utilizing and applying the results, techniques and methods of mathematics and specific subject-area expertise to understand and solve real-world problems in science, technology, business, society, engineering and industry. Wolfram|Alpha's broad base of computational knowledge and powerful mathematical algorithms allows you to apply mathematical techniques to compute, analyze and explore a variety of problems encountered in practical applications.

Find global and local extrema and stationary points of functions or impose a constraint on a function and compute the constrained extrema.

#### Minimize or maximize a function:

#### Minimize or maximize a function of several variables:

#### Minimize or maximize a function subject to a constraint:

Use Wolfram|Alpha to explore discrete- and continuous-time dynamical systems and control systems.

#### Analyze the logistic map:

#### Analyze the Lotka–Volterra predator‐prey model:

Get information about and analysis of the risks and rewards of cooperation and conflict in a variety of mathematical games.

#### Get information about a mathematical game:

Use numerical analysis to compute roots of equations, to solve numerical integrals and to solve ordinary differential equations.

#### Find a root of an equation using Newton's method:

#### Use numerical methods to find roots of numbers:

#### Approximate an integral using a specified numerical method:

#### Solve an ODE using a numerical method:

Ask about fractals both over real and complex domains.

#### Plot fractals given by dynamical systems:

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