Numerical Analysis Books

Numerical analysis, as an undergraduate course, should appeal to the science, engineering, and mathematics student and should include enough material for a thorough understanding of each topic including theory and applications. Calculus is definitely a prerequisite for a course in numerical analysis, but many topics can be presented without having a full course in linear algebra, differential equations, or real analysis. Numerical analysis often covers the topics: solutions of linear systems including the algebraic eigenvalue problem, solutions to non-linear equations including optimization, interpolation and approximation to be followed by numerical differentiation, numerical integration, and solutions of ordinary differential equations.