Numerical Analysis in 99 pages

Numerical Analysis in 99 pages: Long books are discouraging for learning a new subject. This book gives students learning numerical analysis as a new subject a 99 page connected presentation of the useful methods of numerical analysis with mathematical support. Adding a complementary book on numerical linear algebra provides the material for a 1 year junior or senior level course. The goal of numerical analysis is to make accurate predictions about phenomena, not just solve equations. To do that, a clear understanding is needed of the possible errors, including model errors, data errors, discretization errors and roundoff errors. The theory of numerical analysis here addresses source and control of errors. Topics include 1. Representing a function on a computer 2. Recovering derivatives from function data 3. Calculating integrals numerically 4. Solving nonlinear equations and systems of equations 5. Solving initial value problems for differential equations