Numerical Methods And Floating Point Computation

  1. 1.Why Numerical Methods Matter for Programmers
  2. 2.IEEE 754 Floating-Point Representation
  3. 3.Rounding Error & Machine Epsilon
  4. 4.Catastrophic Cancellation & Loss of Significance
  5. 5.Numerical Stability: When the Algorithm Is the Problem
  6. 6.Error Propagation & Conditioning
  7. 7.Root-Finding Methods
  8. 8.Numerical Linear Algebra Pitfalls
  9. 9.Numerical Differentiation & Integration, Revisited
  10. 10.Capstone — Diagnosing and Fixing Numerical Bugs in Real Code