عنوان

Mathematical connections :

شابک

0883857391

شابک

9780883857397

شماره

b801854

عنوان اصلي

Mathematical connections :

نام عام مواد

[Book]

ساير اطلاعات عنواني

a companion for teachers and others /

نام نخستين پديدآور

Al Cuoco.

محل نشرو پخش و غیره

[Washington, DC] :

نام ناشر، پخش کننده و غيره

Mathematical Association of America,

تاریخ نشرو بخش و غیره

©2005.

نام خاص و کميت اثر

xix, 239 pages :

ساير جزييات

illustrations ;

ابعاد

28 cm.

عنوان فروست

Classroom resource materials

متن يادداشت

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

متن يادداشت

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

متن يادداشت

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.

بدون عنوان

0

متن يادداشت

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

متن يادداشت

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.

موضوع مستند نشده

Mathematics-- Study and teaching (Secondary)

موضوع مستند نشده

Mathématiques-- Étude et enseignement (Secondaire)

موضوع مستند نشده

Mathematics-- Study and teaching (Secondary)

موضوع مستند نشده

Mathematics-- Study and teaching (Secondary)

شماره

ويراست

شماره رده

نشانه اثر

مستند نام اشخاص تاييد نشده

Cuoco, Albert.

مستند نام تنالگان تاييد نشده

Education Development Center.

مستند نام تنالگان تاييد نشده

Mathematical Association of America.

تاريخ عمليات

20201207143016.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y