def simpsons_composite(f, a, b, n): """ Composite Simpson's 1/3 rule. n must be even. """ if n % 2 != 0: raise ValueError("n must be even for Simpson's 1/3 rule.") h = (b - a) / n x = np.linspace(a, b, n+1) fx = f(x) # Simpson's rule integral = fx[0] + fx[-1] integral += 4 * np.sum(fx[1:-1:2]) # odd indices integral += 2 * np.sum(fx[2:-2:2]) # even indices (excluding ends) integral *= h / 3 return integral
The book "Numerical Methods in Engineering with Python 3" is a comprehensive resource for engineers and scientists looking to apply numerical methods to solve problems in their field. The book focuses on the use of Python 3, a popular and versatile programming language, to implement various numerical methods. Numerical Methods in Engineering with Python 3 Solutions
: Provides a Kindle version of the solution manual, which includes discussions on calling scripts and expected outputs. Cambridge University Press The book focuses on the use of Python