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Life of Fred: Numerical Analysis

Life of Fred: Numerical Analysis

$59.00

ISBN: 978-1-937032-62-3, hardback, 208 pages. 

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List of Topics Covered:

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.

The full 10-book Extra High School and College Math series includes:

  1. Life of Fred: Logic
  2. Life of Fred: Calculus Expanded Edition (freshman and sophomore year of college)
  3. Life of Fred: Statistics Expanded Edition
  4. Life of Fred: Life of Fred: Five Days of Upper Division Math: Set Theory, Modern Algebra, Abstract Arithmetic, Topology
  5. Life of Fred: Abstract Algebra
  6. Life of Fred: Linear Algebra Expanded Edition (junior year of college)
  7. Life of Fred: Real Analysis
  8. Life of Fred: Complex Analysis
  9. Life of Fred: Numerical Analysis
  10. Life of Fred: Metamathematics 

Life of Fred: Chemistry can also be read near the end of High-School or early College.

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