Strang Gilbert. Computational Science And Engineering

Wellesley: Wellesley-Cambridge, 2007. — 727 p.This book presents the full range of computational science and engineering -- the equations, numerical methods, and algorithms with MatLAB codes. The author has taught this material to thousands of engineers and scientists. The book is solution-based and not formula-based: it covers applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis, optimization, and more.Applied Linear Algebra
A Framework for Applied Mathematics
Boundary Value Problem
Fourier Series and Integrals
Analytic Functions
Initial Value Problem
Solving Large Systems
Optimization and Minimum Principles