Introduction to Computational Mathematics: An Outline

Description

This unique outline covers topics as an introduction to computational mathematics in outline form, much like the classic series of outlines many mathematicians and students recall and have used. This modern version includes many links to external web sources, and homework exercises. It also offers TI calculators’ arithmetic model as a case study and a set of student projects. This outline is self-contained. It is useful for online instruction, self-study, home study, as well as in-class use. This approach can be used for mathematics, computer science, and mathematics education majors to introduce numerical computations. Topics include: •Computer arithmetic •Control Structures •Numerical Differentiation •Root finding algorithms •Numerical Integration •Polynomial Interpolation Cover Half Title Textbooks in Mathematics Title Page Copyright Page Table of Contents Preface I. Computer Arithmetic II. Control Structures S I. Special Topics: Computation Cost and Horner’s Form III. Numerical Differentiation IV. Root-Finding Algorithms S II. Special Topics: Modified Newton’s Method V. Numerical Integration VI. Polynomial Interpolation S III. Case Study: TI Calculator Numerics VII. Projects VIII. References