Change and Invariance : (Record no. 38339)
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| 000 -LEADER | |
|---|---|
| fixed length control field | 03491cam a2200481Ii 4500 |
| 001 - CONTROL NUMBER | |
| control field | BRILL9789463006996 |
| 003 - CONTROL NUMBER IDENTIFIER | |
| control field | nllekb |
| 005 - DATE AND TIME OF LATEST TRANSACTION | |
| control field | 20260610105519.0 |
| 007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION | |
| fixed length control field | cr un uuuua |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
| fixed length control field | 190403s2016 gw sb 001 0 eng d |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| International Standard Book Number | 9789463006996 |
| Qualifying information | (electronic book) |
| 020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
| Canceled/invalid ISBN | 9789463006989 |
| Qualifying information | (print) |
| 024 7# - OTHER STANDARD IDENTIFIER | |
| Standard number or code | 10.1007/978-94-6300-699-6 |
| Source of number or code | DOI |
| 035 ## - SYSTEM CONTROL NUMBER | |
| System control number | (OCoLC)964657030 |
| 040 ## - CATALOGING SOURCE | |
| Original cataloging agency | NL-LeKB |
| Transcribing agency | NL-LeKB |
| Description conventions | rda |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER | |
| Classification number | QA174.7.S96 |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | JN |
| Source | bicssc |
| 072 #7 - SUBJECT CATEGORY CODE | |
| Subject category code | EDU |
| Subject category code subdivision | 000000 |
| Source | bisacsh |
| 082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER | |
| Classification number | 516.1 |
| Edition information | 23 |
| 100 1# - MAIN ENTRY--PERSONAL NAME | |
| Personal name | Sinitsky, Ilya., |
| Relator term | author. |
| 245 10 - TITLE STATEMENT | |
| Title | Change and Invariance : |
| Remainder of title | A Textbook on Algebraic Insight into Numbers and Shapes / |
| Statement of responsibility, etc. | Ilya Sinitsky, Bat-Sheva Ilany. |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE | |
| Place of production, publication, distribution, manufacture | Leiden, |
| -- | Boston : |
| Name of producer, publisher, distributor, manufacturer | Brill | Sense, |
| Date of production, publication, distribution, manufacture, or copyright notice | 2016. |
| 300 ## - online resource | |
| Extent | 1 online resource. |
| 336 ## - CONTENT TYPE | |
| Content type term | text |
| Content type code | txt |
| Source | rdacontent |
| 337 ## - MEDIA TYPE | |
| Media type term | computer |
| Media type code | c |
| Source | rdamedia |
| 338 ## - CARRIER TYPE | |
| Carrier type term | online resource |
| Source | rdacarrier |
| 490 0# - SERIES STATEMENT | |
| Series statement | Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001 |
| 504 ## - BIBLIOGRAPHY, ETC. NOTE | |
| Bibliography, etc. note | Includes bibliographical references and index. |
| 505 00 - FORMATTED CONTENTS NOTE | |
| Formatted contents note | Preliminary Material -- The Concept of Invariance and Change: Theoretical Background -- Invariant Quantities – What Is Invariant and What Changes? -- The Influence of Change -- Introducing Change for the Sake of Invariance -- Discovering Hidden Invariance -- Change and Invariance in Geometric Shapes. |
| 506 ## - RESTRICTIONS ON ACCESS NOTE | |
| Terms governing access | Available to subscribing member institutions only. |
| 520 ## - SUMMARY, ETC. | |
| Summary, etc. | 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?” |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Symmetry (Mathematics) |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| General subdivision | Study and teaching. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematical models. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Algebra. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Geometry, Algebraic. |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM | |
| Topical term or geographic name entry element | Mathematics |
| General subdivision | Philosophy. |
| 700 1# - ADDED ENTRY--PERSONAL NAME | |
| Personal name | Ilany, Bat-Sheva, |
| Relator term | author. |
| 776 08 - ADDITIONAL PHYSICAL FORM ENTRY | |
| Relationship information | Print version: |
| Title | Change and Invariance: A Textbook on Algebraic Insight into Numbers and Shapes |
| Place, publisher, and date of publication | Leiden, Boston : Brill | Sense, 2016, |
| International Standard Book Number | 9789463006989 |
| 830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE | |
| Uniform title | Educational Research E-Books Online, Collection 2005-2017, ISBN: 9789004394001. |
| 856 4# - ELECTRONIC LOCATION AND ACCESS | |
| Public note | DOI: |
| Uniform Resource Identifier | <a href="http://dx.doi.org/10.1007/978-94-6300-699-6">http://dx.doi.org/10.1007/978-94-6300-699-6</a> |
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