| Description |
xix, 239 pages : illustrations ; 28 cm. |
| Series |
Classroom resource materials |
|
Classroom resource materials
|
| Note |
Place of publication from p. [vi]. |
|
"Developed at Education Development Center, Inc. (EDC) within the Center for Mathematics Education (CME)"--P. facing t.p. |
| Bibliography |
Includes bibliographical references (pages 235-236) and index. |
| Contents |
1. Difference tables and polynomial fits. Doing it with sums -- Doing it with differences -- Finding a formula: combinatorial polynomials -- Making it formal: the [delta] operator -- Going the other way: polynomials to tables -- Conversions -- From Newton to Lagrange -- Agreeing to disagree. -- 2. Form and function: the algebra of polynomials. Polynomials -- The basic theorems -- Coefficients and values -- Up a level -- Tranformations -- Coefficients and zeros. -- 3. Complex numbers, complex maps, and trigonometry. Complex numbers -- The complex plane -- The geometry behind multiplying -- Trigonometric identities -- Complex maps -- Julia sets and the Mandelbrot set. -- 4. Combinations and locks. Combinatorial proofs and identities -- The simplex lock -- Some approaches to the simplex lock problem -- Connections to the Mahler basis. -- 5. Sums of powers. Summatory polynomials -- Bernoulli's method. |
| Subject |
Mathematics -- Study and teaching (Secondary)
|
| Added Author |
Mathematical Association of America.
|
|
Education Development Center.
|
| ISBN |
0883857391 |
|
