Life of Fred Mathematics

Life of Fred: Numerical Analysis

• Solving every equation that is in the form f(x) = 0
• Bisection method
• Solving f(x) = 5
• Solve x to the x power equals 5
• Solving f(x) = g(x)
• Finding the value of cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(cos(x))))))))))))
• Secant method
• Newton method
• Finding the polynomial to interpolate five points
• The Lagrange polynomial
• Dealing with 900 points and no given f(x)
• Splines
• Piecewise polynomial approximations
• Numerical integration
• Why Simpson's rule is true
• Numerical differentiation
• Monte Carlo methods
• First-order ordinary differential equations starting with y' = g(x)
• Starting with y' = g(x, y)
• Euler's method
• Runge-Kutta method
• Second-order differential equations
• Second-order boundary problems
• Second-order initial value problems
• Parabolic partial differential equations
• Elliptic partial differential equations
• Hyperbolic partial differential equations

Unlike most other Numerical Analysis programs, this one has:
• the difference between reading vs lectures
• the seven wonders of the world
• finding a career, a spouse, or a house
• the Colossus of Fred
• the muddy world of things
• write your own simple computer program

Click here to view a sample lesson (Opens in a new window or tab)

Life of Fred Numerical Analysis is a hardcover textbook containing 208 pages. This book is not consumable. All answers are written on separate paper or in a notebook.

Life of Fred Numerical Analysis contains 34 chapters. All answers are included.