東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Change and invariance = a textbook o...

Sinitsky, Ilya.

Linked to FindBook

Google Book

Amazon

博客來

Change and invariance = a textbook on algebraic insight into numbers and shapes /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Change and invariance/ by Ilya Sinitsky, Bat-Sheva Ilany.
Reminder of title:	a textbook on algebraic insight into numbers and shapes /
Author:	Sinitsky, Ilya.
other author:	Ilany, Bat-Sheva.
Published:	Rotterdam :SensePublishers : : 2016.,
Description:	xiv, 378 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
Subject:	Symmetry (Mathematics) -
Online resource:	http://dx.doi.org/10.1007/978-94-6300-699-6
ISBN:	9789463006996

Change and invariance = a textbook on algebraic insight into numbers and shapes /
Sinitsky, Ilya.

Change and invariancea textbook on algebraic insight into numbers and shapes /[electronic resource] :by Ilya Sinitsky, Bat-Sheva Ilany. - Rotterdam :SensePublishers :2016. - xiv, 378 p. :ill., digital ;24 cm.

"What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book. The world is an interplay of variation and constancy - a medley of differences and similarities - and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes. After a short introductory chapter, each of the following chapters presents a series of evolving activities for students that focus on a specific aspect of interplay between change and invariance. Each activity is accompanied by detailed mathematical explanations and a didactic discussion. The assignments start with tasks familiar from the school curriculum, but progress beyond the menial to lead to sophisticated generalizations. Further activities are suggested to augment the chapter's theme. Some examples: "How to represent all the integers from zero to 1000 using ten fingers?", "How to win at the game of Nim?", "Why do different square lattice polygons with the same area often have the same perimeter?" This book can be used as a textbook for pre-service mathematics teachers and is primarily intended for their academic instructors. Essentially, students, teachers and anyone interested in elementary mathematics will enjoy the elegant solutions provided for the plethora of problems in elementary mathematics through the systematic approach of invariance and change."

ISBN: 9789463006996

Standard No.: 10.1007/978-94-6300-699-6doiSubjects--Topical Terms:

629811
Symmetry (Mathematics)

LC Class. No.: QA174.7.S96 / S58 2016

Dewey Class. No.: 516.1

Change and invariance = a textbook on algebraic insight into numbers and shapes /
LDR:02737nmm a2200313 a 4500 001 2080691
003 DE-He213
005 20161128141529.0
006 m d
007 cr nn 008maaau
008 170616s2016 ne s 0 eng d
020 $a 9789463006996 $q (electronic bk.)
020 $a 9789463006972 $q (paperback)
020 $a 9789463006989 $q (hardback)
024 7 $a 10.1007/978-94-6300-699-6 $2 doi
035 $a 978-94-6300-699-6
040 $a GP $c GP
041 0 $a eng
050 4 $a QA174.7.S96 $b S58 2016
072 7 $a JN $2 bicssc
072 7 $a EDU000000 $2 bisacsh
082 0 4 $a 516.1 $2 23
090 $a QA174.7.S96 $b S617 2016
100 1 $a Sinitsky, Ilya. $3 3200857
245 1 0 $a Change and invariance $h [electronic resource] : $b a textbook on algebraic insight into numbers and shapes / $c by Ilya Sinitsky, Bat-Sheva Ilany.
260 $a Rotterdam : $b SensePublishers : $b Imprint: SensePublishers, $c 2016.
300 $a xiv, 378 p. : $b ill., digital ; $c 24 cm.
520 $a "What is the connection between finding the amount of acid needed to reach the desired concentration of a chemical solution, checking divisibility by a two-digit prime number, and maintaining the perimeter of a polygon while reducing its area? The simple answer is the title of this book. The world is an interplay of variation and constancy - a medley of differences and similarities - and this change and invariance is, largely, a language of science and mathematics. This book proposes a unique approach for developing mathematical insight through the perspective of change and invariance as it applies to the properties of numbers and shapes. After a short introductory chapter, each of the following chapters presents a series of evolving activities for students that focus on a specific aspect of interplay between change and invariance. Each activity is accompanied by detailed mathematical explanations and a didactic discussion. The assignments start with tasks familiar from the school curriculum, but progress beyond the menial to lead to sophisticated generalizations. Further activities are suggested to augment the chapter's theme. Some examples: "How to represent all the integers from zero to 1000 using ten fingers?", "How to win at the game of Nim?", "Why do different square lattice polygons with the same area often have the same perimeter?" This book can be used as a textbook for pre-service mathematics teachers and is primarily intended for their academic instructors. Essentially, students, teachers and anyone interested in elementary mathematics will enjoy the elegant solutions provided for the plethora of problems in elementary mathematics through the systematic approach of invariance and change."
650 0 $a Symmetry (Mathematics) $3 629811
650 1 4 $a Education. $3 516579
650 2 4 $a Education, general. $3 2162157
700 1 $a Ilany, Bat-Sheva. $3 1619904
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer eBooks
856 4 0 $u http://dx.doi.org/10.1007/978-94-6300-699-6
950 $a Education (Springer-41171)