عنوان

Mathematical connections :

(Number (ISBN

0883857391

(Number (ISBN

9780883857397

Number

b801854

Title Proper

Mathematical connections :

General Material Designation

[Book]

Other Title Information

a companion for teachers and others /

First Statement of Responsibility

Al Cuoco.

Place of Publication, Distribution, etc.

[Washington, DC] :

Name of Publisher, Distributor, etc.

Mathematical Association of America,

Date of Publication, Distribution, etc.

©2005.

Specific Material Designation and Extent of Item

xix, 239 pages :

Other Physical Details

illustrations ;

Dimensions

28 cm.

Series Title

Classroom resource materials

Text of Note

"Developed at Education Development Center, Inc. (EDC) within the Center for Mathematics Education (CME)"--Page facing title page.

Text of Note

Includes bibliographical references (pages 235-236) and index.

Text of Note

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 -- Transformations -- 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.

0

Text of Note

Covers some topics that form the foundations of high school mathematics, such as polynomial functions.

Text of Note

This book is about some of the topics that form the foundations for high school mathematics. It focuses on a closely-knit collection of ideas that are at the intersection of algebra, arithmetic, combinatorics, geometry, and calculus. Most of the ideas are classical: methods for fitting polynomial functions to data, for summing powers of integers, for visualizing the iterates of a function defined on the complex plane, or for obtaining identities among entries in Pascal's triangle. Some of these ideas, previously considered quite advanced, have become tractable because of advances in computational technology. Others are just beautiful classical mathematics, topics that have fallen out of fashion and that deserve to be resurrected. Most importantly, the book is about some mathematical ways of thinking the author found extremely useful, both in his roles as a mathematician and as a mentor of young people learning to do mathematics.--Publisher description.

Mathematics-- Study and teaching (Secondary)

Mathématiques-- Étude et enseignement (Secondaire)

Mathematics-- Study and teaching (Secondary)

Mathematics-- Study and teaching (Secondary)

Number

Edition

Class number

Book number

Cuoco, Albert.

Education Development Center.

Mathematical Association of America.

Date of Transaction

20201207143016.0

Electronic name

[Book]

Y