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Introduction to Computational Mathematics: An Outline

✍ Scribed by William C. Bauldry

Publisher
CRC Press
Year
2022
Tongue
English
Leaves
213
Series
Textbooks in Mathematics
Edition
1
Category
Library
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No coin nor oath required. For personal study only.

✦ Synopsis

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

✦ Table of Contents

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

✦ Subjects

Computational Mathematics; Computer Arithmetic; Control Structures; Computation Cost; Horner’s Form; Numerical Differentiation; Root-Finding Algorithms; Modified Newton’s Method; Numerical Integration; Polynomial Interpolation

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