Across the Board : : The Mathematics of Chessboard Problems / / John J. Watkins.
Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domina...
Saved in:
Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
---|---|
VerfasserIn: | |
Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2011] ©2004 |
Year of Publication: | 2011 |
Edition: | Course Book |
Language: | English |
Series: | Princeton Puzzlers
|
Online Access: | |
Physical Description: | 1 online resource (272 p.) :; 204 line illus. |
Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
id |
9781400840922 |
---|---|
ctrlnum |
(DE-B1597)454673 (OCoLC)979624113 |
collection |
bib_alma |
record_format |
marc |
spelling |
Watkins, John J., author. aut http://id.loc.gov/vocabulary/relators/aut Across the Board : The Mathematics of Chessboard Problems / John J. Watkins. Course Book Princeton, NJ : Princeton University Press, [2011] ©2004 1 online resource (272 p.) : 204 line illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Princeton Puzzlers Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Knight's Tours -- Chapter Three. The Knight's Tour Problem -- Chapter Four. Magic Squares -- Chapter Five. The Torus and the Cylinder -- Chapter Six. The Klein Bottle and Other Variations -- Chapter Seven. Domination -- Chapter Eight. Queens Domination -- Chapter Nine. Domination on Other Surfaces -- Chapter Ten. Independence -- Chapter Eleven. Other Surfaces, Other Variations -- Chapter Twelve. Eulerian Squares -- Chapter Thirteen. Polyominoes -- References -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout, the reader can share fully in the excitement of discovery. Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees. Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) MATHEMATICS / Recreations & Games. bisacsh Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 9783110442502 print 9780691154985 https://doi.org/10.1515/9781400840922 https://www.degruyter.com/isbn/9781400840922 Cover https://www.degruyter.com/cover/covers/9781400840922.jpg |
language |
English |
format |
eBook |
author |
Watkins, John J., Watkins, John J., |
spellingShingle |
Watkins, John J., Watkins, John J., Across the Board : The Mathematics of Chessboard Problems / Princeton Puzzlers Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Knight's Tours -- Chapter Three. The Knight's Tour Problem -- Chapter Four. Magic Squares -- Chapter Five. The Torus and the Cylinder -- Chapter Six. The Klein Bottle and Other Variations -- Chapter Seven. Domination -- Chapter Eight. Queens Domination -- Chapter Nine. Domination on Other Surfaces -- Chapter Ten. Independence -- Chapter Eleven. Other Surfaces, Other Variations -- Chapter Twelve. Eulerian Squares -- Chapter Thirteen. Polyominoes -- References -- Index |
author_facet |
Watkins, John J., Watkins, John J., |
author_variant |
j j w jj jjw j j w jj jjw |
author_role |
VerfasserIn VerfasserIn |
author_sort |
Watkins, John J., |
title |
Across the Board : The Mathematics of Chessboard Problems / |
title_sub |
The Mathematics of Chessboard Problems / |
title_full |
Across the Board : The Mathematics of Chessboard Problems / John J. Watkins. |
title_fullStr |
Across the Board : The Mathematics of Chessboard Problems / John J. Watkins. |
title_full_unstemmed |
Across the Board : The Mathematics of Chessboard Problems / John J. Watkins. |
title_auth |
Across the Board : The Mathematics of Chessboard Problems / |
title_alt |
Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Knight's Tours -- Chapter Three. The Knight's Tour Problem -- Chapter Four. Magic Squares -- Chapter Five. The Torus and the Cylinder -- Chapter Six. The Klein Bottle and Other Variations -- Chapter Seven. Domination -- Chapter Eight. Queens Domination -- Chapter Nine. Domination on Other Surfaces -- Chapter Ten. Independence -- Chapter Eleven. Other Surfaces, Other Variations -- Chapter Twelve. Eulerian Squares -- Chapter Thirteen. Polyominoes -- References -- Index |
title_new |
Across the Board : |
title_sort |
across the board : the mathematics of chessboard problems / |
series |
Princeton Puzzlers |
series2 |
Princeton Puzzlers |
publisher |
Princeton University Press, |
publishDate |
2011 |
physical |
1 online resource (272 p.) : 204 line illus. Issued also in print. |
edition |
Course Book |
contents |
Frontmatter -- Contents -- Preface -- Chapter One. Introduction -- Chapter Two. Knight's Tours -- Chapter Three. The Knight's Tour Problem -- Chapter Four. Magic Squares -- Chapter Five. The Torus and the Cylinder -- Chapter Six. The Klein Bottle and Other Variations -- Chapter Seven. Domination -- Chapter Eight. Queens Domination -- Chapter Nine. Domination on Other Surfaces -- Chapter Ten. Independence -- Chapter Eleven. Other Surfaces, Other Variations -- Chapter Twelve. Eulerian Squares -- Chapter Thirteen. Polyominoes -- References -- Index |
isbn |
9781400840922 9783110442502 9780691154985 |
url |
https://doi.org/10.1515/9781400840922 https://www.degruyter.com/isbn/9781400840922 https://www.degruyter.com/cover/covers/9781400840922.jpg |
illustrated |
Illustrated |
doi_str_mv |
10.1515/9781400840922 |
oclc_num |
979624113 |
work_keys_str_mv |
AT watkinsjohnj acrosstheboardthemathematicsofchessboardproblems |
status_str |
n |
ids_txt_mv |
(DE-B1597)454673 (OCoLC)979624113 |
carrierType_str_mv |
cr |
hierarchy_parent_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
is_hierarchy_title |
Across the Board : The Mathematics of Chessboard Problems / |
container_title |
Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
_version_ |
1770176667174567936 |
fullrecord |
<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>04579nam a22006735i 4500</leader><controlfield tag="001">9781400840922</controlfield><controlfield tag="003">DE-B1597</controlfield><controlfield tag="005">20210830012106.0</controlfield><controlfield tag="006">m|||||o||d||||||||</controlfield><controlfield tag="007">cr || ||||||||</controlfield><controlfield tag="008">210830t20112004nju fo d z eng d</controlfield><datafield tag="019" ind1=" " ind2=" "><subfield code="a">(OCoLC)984686758</subfield></datafield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9781400840922</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9781400840922</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)454673</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)979624113</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-B1597</subfield><subfield code="b">eng</subfield><subfield code="c">DE-B1597</subfield><subfield code="e">rda</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="044" ind1=" " ind2=" "><subfield code="a">nju</subfield><subfield code="c">US-NJ</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT025000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Watkins, John J., </subfield><subfield code="e">author.</subfield><subfield code="4">aut</subfield><subfield code="4">http://id.loc.gov/vocabulary/relators/aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Across the Board :</subfield><subfield code="b">The Mathematics of Chessboard Problems /</subfield><subfield code="c">John J. Watkins.</subfield></datafield><datafield tag="250" ind1=" " ind2=" "><subfield code="a">Course Book</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2011]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2004</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (272 p.) :</subfield><subfield code="b">204 line illus.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">computer</subfield><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">online resource</subfield><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="347" ind1=" " ind2=" "><subfield code="a">text file</subfield><subfield code="b">PDF</subfield><subfield code="2">rda</subfield></datafield><datafield tag="490" ind1="0" ind2=" "><subfield code="a">Princeton Puzzlers</subfield></datafield><datafield tag="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Preface -- </subfield><subfield code="t">Chapter One. Introduction -- </subfield><subfield code="t">Chapter Two. Knight's Tours -- </subfield><subfield code="t">Chapter Three. The Knight's Tour Problem -- </subfield><subfield code="t">Chapter Four. Magic Squares -- </subfield><subfield code="t">Chapter Five. The Torus and the Cylinder -- </subfield><subfield code="t">Chapter Six. The Klein Bottle and Other Variations -- </subfield><subfield code="t">Chapter Seven. Domination -- </subfield><subfield code="t">Chapter Eight. Queens Domination -- </subfield><subfield code="t">Chapter Nine. Domination on Other Surfaces -- </subfield><subfield code="t">Chapter Ten. Independence -- </subfield><subfield code="t">Chapter Eleven. Other Surfaces, Other Variations -- </subfield><subfield code="t">Chapter Twelve. Eulerian Squares -- </subfield><subfield code="t">Chapter Thirteen. Polyominoes -- </subfield><subfield code="t">References -- </subfield><subfield code="t">Index</subfield></datafield><datafield tag="506" ind1="0" ind2=" "><subfield code="a">restricted access</subfield><subfield code="u">http://purl.org/coar/access_right/c_16ec</subfield><subfield code="f">online access with authorization</subfield><subfield code="2">star</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Across the Board is the definitive work on chessboard problems. It is not simply about chess but the chessboard itself--that simple grid of squares so common to games around the world. And, more importantly, the fascinating mathematics behind it. From the Knight's Tour Problem and Queens Domination to their many variations, John Watkins surveys all the well-known problems in this surprisingly fertile area of recreational mathematics. Can a knight follow a path that covers every square once, ending on the starting square? How many queens are needed so that every square is targeted or occupied by one of the queens? Each main topic is treated in depth from its historical conception through to its status today. Many beautiful solutions have emerged for basic chessboard problems since mathematicians first began working on them in earnest over three centuries ago, but such problems, including those involving polyominoes, have now been extended to three-dimensional chessboards and even chessboards on unusual surfaces such as toruses (the equivalent of playing chess on a doughnut) and cylinders. Using the highly visual language of graph theory, Watkins gently guides the reader to the forefront of current research in mathematics. By solving some of the many exercises sprinkled throughout, the reader can share fully in the excitement of discovery. Showing that chess puzzles are the starting point for important mathematical ideas that have resonated for centuries, Across the Board will captivate students and instructors, mathematicians, chess enthusiasts, and puzzle devotees.</subfield></datafield><datafield tag="530" ind1=" " ind2=" "><subfield code="a">Issued also in print.</subfield></datafield><datafield tag="538" ind1=" " ind2=" "><subfield code="a">Mode of access: Internet via World Wide Web.</subfield></datafield><datafield tag="546" ind1=" " ind2=" "><subfield code="a">In English.</subfield></datafield><datafield tag="588" ind1="0" ind2=" "><subfield code="a">Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021)</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Recreations & Games.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="773" ind1="0" ind2="8"><subfield code="i">Title is part of eBook package:</subfield><subfield code="d">De Gruyter</subfield><subfield code="t">Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="z">9783110442502</subfield></datafield><datafield tag="776" ind1="0" ind2=" "><subfield code="c">print</subfield><subfield code="z">9780691154985</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1515/9781400840922</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://www.degruyter.com/isbn/9781400840922</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="3">Cover</subfield><subfield code="u">https://www.degruyter.com/cover/covers/9781400840922.jpg</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">978-3-11-044250-2 Princeton University Press eBook-Package Backlist 2000-2013</subfield><subfield code="c">2000</subfield><subfield code="d">2013</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_BACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_CL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBACKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ECL_MTPY</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_EEBKALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_ESTMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_PPALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">EBA_STMALL</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">GBV-deGruyter-alles</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA12STME</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA13ENGE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA18STMEE</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">PDA5EBK</subfield></datafield></record></collection> |