Concept clusters
Related ideas that live chapters apart, pulled onto one page — every factoring technique, every way to solve a quadratic, and more.
Every way to find a root
Bracketing methods that never fail vs. open methods that are faster when they work -- and how to pick.
13 concepts →
Direct vs. iterative linear solvers
Gaussian elimination and LU/Cholesky's exact answer in a fixed number of steps vs. Jacobi/Gauss-Seidel/SOR/CG's cheap-per-sweep approximation.
13 concepts →
Every way to compute eigenvalues numerically
Power iteration's family, one eigenvalue at a time, vs. the QR algorithm's all-at-once sweep -- and why the characteristic polynomial itself is a trap.
12 concepts →
Single-step vs. multistep ODE methods
Euler and Runge-Kutta's fresh start every step vs. Adams-Bashforth-Moulton's memory of the points already computed.
14 concepts →