Description
Book SynopsisDesigned as a textbook for an innovative mathematics major course in using a computer-algebra system to investigate, explore, and apply mathematical ideas and techniques in problem solving. The book is designed modularly with student investigations and projects in number theory, geometry, algebra, single-variable calculus, and probability.
Table of Contents
- Part 1 Algebra & Geometry: Computer algebra systems and elements of algorithmics
- Topics in classical geometry
- More topics in classical geometry
- Topics in elementary number theory
- Topics in algebra: Solving univariate algebraic equations
- Topics in algebra: Bivariate systems of polynomial equations
- Part 2 Calculus and numerics: Derivatives
- Definite integrals
- Approximating zeros of functions by iteration methods
- Polynomial approximations
- Trigonometric approximation
- Fourier analysis in music and signal processing
- Part 3 Probability and statistics: Probability and statistics basics
- Computer simulation of statistical sampling
- Simple random walks
- Data for lab 17 in chapter 14
- Bibliography
- Index
