Foreword

The lecture notes have been developed during over thirty years of teaching experience by the authors in the area of Numerical Analysis. They have taught the course on Numerical Methods designed for Science and Engineering students, at the University of Warsaw, University of Jos, Nigeria and the University of Botswana. The content of the notes covers the following topics: Computer Numbers and Roundoff Errors Estimates, Interpolation and Approximation of Functions, Polynomial Splines and Applications, Numerical Integration and Solu- tion of Non-linear Equations. The authors have presented the subjects in exact and comprehensive way with emphasis put on formulation of fundamental theorems with proofs supported by well selected examples. They used Mathematica, System for doing Mathematics, in solving problems specific to the subjects. In the notes, the reader will find interesting algorithms and their implementation in the Mathematica System. The lecture notes are well written and recommended as reading material for a basic course in Numerical Methods for science and engineering students.