Classical Mechanics with Maxima
This book guides undergraduate students in the use of Maxima—a computer algebra system—in solving problems in classical mechanics. It functions well as a supplement to a typical classical mechanics textbook.
When it comes to problems that are too difficult to solve by hand, computer algebra systems that can perform symbolic mathematical manipulations are a valuable tool. Maxima is particularly attractive in that it is open-source, multiple-platform software that students can download and install free of charge. Lessons learned and capabilities developed using Maxima are easily transferred to other, proprietary software.
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ˇ ˇ 2-cycle air resistance Âmax amplitude attractor basin of attraction behavior bifurcation diagram bisection method center of mass classical mechanics code below shows collision compute consider constant converge curve data points define determine diff driven damped pendulum driving force dynamics ensemble equations of motion equilibrium point error Euler algorithm Euler–Cromer algorithm evaluate exact solution examine example find_root function f.x initial conditions initial value input interpolating function interval iterated function Lagrange polynomial linear logistic map loop Lyapunov exponent Maxima Newton–Raphson method Newton’s Second Law nonlinear object ODEs omega output parameters particle particle’s period phase space phase space area phase space trajectory plot is shown Pol oscillator polynomial position potential energy function projectile quad_qags quadratic resistance rad/s random numbers resulting plot rocket root sequence shown in Fig simple harmonic oscillator solve staircase plot step strobe plot subinterval torque unstable variable versus wxMaxima xlabel="t zero