It provides an excellent introduction to the numerical analysis of differential equations . . .' Computing Reviews 'As a mathematician who developed an interest in numerical analysis in the middle of his professional career, I thoroughly enjoyed reading this text. fore getting to numerical analysis proper. These notes are sef-contained, but two good extra references for this chapter are Tao, Analysis I; and Dahlquist and Bjorck, Numerical methods. A sequence is a possibly inﬁnite collection of numbers lined up in some order: a. 1,a. 2,a. 3,... A series is a possibly inﬁnite sum: a. 1 + a. 2 + a. 3 + ... Mathematics and computer sciences need suitable methods for numerical calculations of integrals. Classical methods, based on polynomial interpolation, have many weak sides: they are useless to interpolate the function that fails to be differentiable at one point or differs from the shape of polynomials considerably. A first course in numerical analysis By Anthony Ralston and Philip Rabinowitz Topics: Mathematical Physics and Mathematics Here we present numerical analysis to advanced undergraduate and master degree level grad students. This is to be done in one semester. The programming language is Mathematica. The mathematical foundation and technique is included.