Learning Scientific Programming with Python (2nd edition)

Chapter 10: General Scientific Programming

• Examples
  • E10.1: Numerical stability of the forward-Euler method
  • E10.2: Numerical stability of an integral solved by recursion
  • E10.3: Intersecting lines
  • E10.4: Wilkinson's polynomial
  • E10.6: Avoiding Magic Numbers: simulating dice rolling
  • E10.7: Unit testing: converting between temperature units
• Questions
  • Q10.1.1: The decimal representation of 0.99999...
  • Q10.1.2: Evaluating $\sqrt{\tan(\pi)}$
  • Q10.1.3: A counter-example to Fermat's Last Theorem(?)
  • Q10.1.4: Floating point approximations to two trigonometric functions
  • Q10.1.5: Checking for nan without using isnan
  • Q10.1.6: Boolean operations with floating point numbers
• Problems
  • P10.1.1: Heron's formula
  • P10.1.2: Determining the machine-epsilon
  • P10.2.1: Numerical differentiation
  • P10.2.2: Wilkinson's polynomial