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:
Estimate the number of objects required to pack or cover another object.