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