| Getting Started | Lists, integers, polynomials, loops and conditionals. |
| Modular Arithmetic | Modular arithmetic, polynomials and linear algebra mod n |
| Prime numbers | Sophie Germain primes and the distribution of primes. |
| Simple text | For handling text within Maple. |
| Text in files | For reading text from a file and writing to a file. |
| Rgraphs | For parsing several letters into a single number. | Finite fields | Extensions of finite fields using RootOf() | Polynomials | Computing with univariate and multivariate polynomials. | Plots in 2 and 3 dimensions | Algebraic curves defined as functions, implicitly, or parametrically. |
Andre Heck, Intorduction to Maple, Springer, QA 155.7 E4 H43 1996.
R. Klima, N. Stigmon, E. Stitziger, Applications of Abstract Algebra with Maple, CRC Press, QA 162 K65 2000.
| Integers | Basic computations in the integers. | Division and Euclidean algorithms (1/09) | Basic computations in the integers. | Polynomial Rings | Polynomial rings, their quotients, evaluation of polynomials. | Multivariate Division Algorithm (2/06) | Dividing a polynomial by a sequence of polynomials in several variables. Term orderings. | Finite Fields | Finite field and their extensions. | Cyclic Codes (3/06) | Factorization of x^n -1 and idempotents. | Reed-Solomon Codes (3/06) | The Berlekamp-Massey algorithm, and computation of the error values. |