The Mathematics of Various Entertaining Subjects : : Volume 3: The Magic of Mathematics / / ed. by Jason Rosenhouse, Jennifer Beineke.
The history of mathematics is replete with examples of major breakthroughs resulting from the solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this t...
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2019] ©2019 |
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The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / ed. by Jason Rosenhouse, Jennifer Beineke. Princeton, NJ : Princeton University Press, [2019] ©2019 1 online resource (352 p.) : 85 color + 71 b/w illus. text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda Frontmatter -- Contents -- Foreword -- Preface and Acknowledgments -- PART I. Puzzles and Brainteasers -- 1. Probability in Your Head -- 2. Solving Puzzles Backward -- 3. Spiral Galaxies Font -- 4. Kings, Sages, Hats, and Codes -- 5. How to Predict the Flip of a Coin -- 6. Coins and Logic -- PART II. Games -- 7. Bingo Paradoxes -- 8. Wiggly Games and Burnside's Lemma -- 9. Losing at Checkers Is Hard -- 10. Chutes and Ladders without Chutes or Ladders -- 11. Bugs, Braids, and Batching -- PART III. Algebra and Number Theory -- 12. The Magic of Charles Sanders Peirce -- 13. Can You Win Khalou in Five Moves? -- 14. On Partitions into Squares of Distinct Integers Whose Reciprocals Sum to 1 -- 15. Puzzles, Parity Maps, and Plenty of Solutions -- PART IV. Geometry and Topology -- 16. Should We Call Them Flexa-Bands? -- 17. The Shortest Connection Problem on Triangular Grids -- 18. Entropy of Lego Jumper Plates -- About the Editors -- About the Contributors -- Index restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star The history of mathematics is replete with examples of major breakthroughs resulting from the solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this track record and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects remedies this situation and returns with an all-new third volume, presenting further research into diverse areas of recreational mathematics.This third volume focuses on four areas: puzzles and brainteasers, games, algebra and number theory, and geometry and topology. Among the many topics, readers will create Spiral Galaxies (Japanese symmetric grid puzzles consisting of squares and circles) whose solutions are letters and numbers, delve into a paradox in the game of Bingo, examine the card tricks of mathematician-philosopher Charles Sanders Peirce, and learn about the mathematics behind Legos.Elucidating the many connections between mathematics and games, The Mathematics of Various Entertaining Subjects is sure to challenge and inspire mathematicians and math enthusiasts. 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. MATHEMATICS / Recreations & Games. bisacsh Alekseyev, Max A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Allocca, Michael P., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Anderson, Walker, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Balof, Barry A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Beineke, Jennifer, editor. edt http://id.loc.gov/vocabulary/relators/edt Benjamin, Arthur T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bhargava, Manjul, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Bosboom, Jeffrey, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Congero, Spencer, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Cordes, Jay, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Demaine, Erik D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Demaine, Martin L., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Diaconis, Persi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Dougherty, Steven T., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Elran, Yossi, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Glass, Darren B., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Graham, Ron, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Hopkins, Brian, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Khovanova, Tanya, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Kisenwether, Joseph, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lamagna, Edmund A., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Levitin, Anany, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lucas, Stephen K., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Lynch, Jayson, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb McClendon, David M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Mei, Jie, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Molnar, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Nacin, David, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Naqvi, Yusra, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Needleman, Jonathan S., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rosenhouse, Jason, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Rosenhouse, Jason, editor. edt http://id.loc.gov/vocabulary/relators/edt Schwartz, Ann, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Stein, James D., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Vasquez, Jennifer F., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wapner, Leonard M., contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Wilson, Jonathon, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Winkler, Peter, contributor. ctb https://id.loc.gov/vocabulary/relators/ctb Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 English 9783110610765 Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2019 9783110664232 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 English 9783110610406 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2019 9783110606362 ZDB-23-DMA Title is part of eBook package: De Gruyter Princeton University Press Complete eBook-Package 2019 9783110663365 print 9780691182575 https://doi.org/10.1515/9780691194417?locatt=mode:legacy https://www.degruyter.com/isbn/9780691194417 Cover https://www.degruyter.com/cover/covers/9780691194417.jpg |
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Alekseyev, Max A., Alekseyev, Max A., Allocca, Michael P., Allocca, Michael P., Anderson, Walker, Anderson, Walker, Balof, Barry A., Balof, Barry A., Beineke, Jennifer, Beineke, Jennifer, Benjamin, Arthur T., Benjamin, Arthur T., Bhargava, Manjul, Bhargava, Manjul, Bosboom, Jeffrey, Bosboom, Jeffrey, Congero, Spencer, Congero, Spencer, Cordes, Jay, Cordes, Jay, Demaine, Erik D., Demaine, Erik D., Demaine, Martin L., Demaine, Martin L., Diaconis, Persi, Diaconis, Persi, Dougherty, Steven T., Dougherty, Steven T., Elran, Yossi, Elran, Yossi, Glass, Darren B., Glass, Darren B., Graham, Ron, Graham, Ron, Hopkins, Brian, Hopkins, Brian, Khovanova, Tanya, Khovanova, Tanya, Kisenwether, Joseph, Kisenwether, Joseph, Lamagna, Edmund A., Lamagna, Edmund A., Levitin, Anany, Levitin, Anany, Lucas, Stephen K., Lucas, Stephen K., Lynch, Jayson, Lynch, Jayson, McClendon, David M., McClendon, David M., Mei, Jie, Mei, Jie, Molnar, David, Molnar, David, Nacin, David, Nacin, David, Naqvi, Yusra, Naqvi, Yusra, Needleman, Jonathan S., Needleman, Jonathan S., Rosenhouse, Jason, Rosenhouse, Jason, Rosenhouse, Jason, Rosenhouse, Jason, Schwartz, Ann, Schwartz, Ann, Stein, James D., Stein, James D., Vasquez, Jennifer F., Vasquez, Jennifer F., Wapner, Leonard M., Wapner, Leonard M., Wilson, Jonathon, Wilson, Jonathon, Winkler, Peter, Winkler, Peter, |
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Alekseyev, Max A., Alekseyev, Max A., Allocca, Michael P., Allocca, Michael P., Anderson, Walker, Anderson, Walker, Balof, Barry A., Balof, Barry A., Beineke, Jennifer, Beineke, Jennifer, Benjamin, Arthur T., Benjamin, Arthur T., Bhargava, Manjul, Bhargava, Manjul, Bosboom, Jeffrey, Bosboom, Jeffrey, Congero, Spencer, Congero, Spencer, Cordes, Jay, Cordes, Jay, Demaine, Erik D., Demaine, Erik D., Demaine, Martin L., Demaine, Martin L., Diaconis, Persi, Diaconis, Persi, Dougherty, Steven T., Dougherty, Steven T., Elran, Yossi, Elran, Yossi, Glass, Darren B., Glass, Darren B., Graham, Ron, Graham, Ron, Hopkins, Brian, Hopkins, Brian, Khovanova, Tanya, Khovanova, Tanya, Kisenwether, Joseph, Kisenwether, Joseph, Lamagna, Edmund A., Lamagna, Edmund A., Levitin, Anany, Levitin, Anany, Lucas, Stephen K., Lucas, Stephen K., Lynch, Jayson, Lynch, Jayson, McClendon, David M., McClendon, David M., Mei, Jie, Mei, Jie, Molnar, David, Molnar, David, Nacin, David, Nacin, David, Naqvi, Yusra, Naqvi, Yusra, Needleman, Jonathan S., Needleman, Jonathan S., Rosenhouse, Jason, Rosenhouse, Jason, Rosenhouse, Jason, Rosenhouse, Jason, Schwartz, Ann, Schwartz, Ann, Stein, James D., Stein, James D., Vasquez, Jennifer F., Vasquez, Jennifer F., Wapner, Leonard M., Wapner, Leonard M., Wilson, Jonathon, Wilson, Jonathon, Winkler, Peter, Winkler, Peter, |
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author_sort |
Alekseyev, Max A., |
title |
The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / |
spellingShingle |
The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / Frontmatter -- Contents -- Foreword -- Preface and Acknowledgments -- PART I. Puzzles and Brainteasers -- 1. Probability in Your Head -- 2. Solving Puzzles Backward -- 3. Spiral Galaxies Font -- 4. Kings, Sages, Hats, and Codes -- 5. How to Predict the Flip of a Coin -- 6. Coins and Logic -- PART II. Games -- 7. Bingo Paradoxes -- 8. Wiggly Games and Burnside's Lemma -- 9. Losing at Checkers Is Hard -- 10. Chutes and Ladders without Chutes or Ladders -- 11. Bugs, Braids, and Batching -- PART III. Algebra and Number Theory -- 12. The Magic of Charles Sanders Peirce -- 13. Can You Win Khalou in Five Moves? -- 14. On Partitions into Squares of Distinct Integers Whose Reciprocals Sum to 1 -- 15. Puzzles, Parity Maps, and Plenty of Solutions -- PART IV. Geometry and Topology -- 16. Should We Call Them Flexa-Bands? -- 17. The Shortest Connection Problem on Triangular Grids -- 18. Entropy of Lego Jumper Plates -- About the Editors -- About the Contributors -- Index |
title_sub |
Volume 3: The Magic of Mathematics / |
title_full |
The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / ed. by Jason Rosenhouse, Jennifer Beineke. |
title_fullStr |
The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / ed. by Jason Rosenhouse, Jennifer Beineke. |
title_full_unstemmed |
The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / ed. by Jason Rosenhouse, Jennifer Beineke. |
title_auth |
The Mathematics of Various Entertaining Subjects : Volume 3: The Magic of Mathematics / |
title_alt |
Frontmatter -- Contents -- Foreword -- Preface and Acknowledgments -- PART I. Puzzles and Brainteasers -- 1. Probability in Your Head -- 2. Solving Puzzles Backward -- 3. Spiral Galaxies Font -- 4. Kings, Sages, Hats, and Codes -- 5. How to Predict the Flip of a Coin -- 6. Coins and Logic -- PART II. Games -- 7. Bingo Paradoxes -- 8. Wiggly Games and Burnside's Lemma -- 9. Losing at Checkers Is Hard -- 10. Chutes and Ladders without Chutes or Ladders -- 11. Bugs, Braids, and Batching -- PART III. Algebra and Number Theory -- 12. The Magic of Charles Sanders Peirce -- 13. Can You Win Khalou in Five Moves? -- 14. On Partitions into Squares of Distinct Integers Whose Reciprocals Sum to 1 -- 15. Puzzles, Parity Maps, and Plenty of Solutions -- PART IV. Geometry and Topology -- 16. Should We Call Them Flexa-Bands? -- 17. The Shortest Connection Problem on Triangular Grids -- 18. Entropy of Lego Jumper Plates -- About the Editors -- About the Contributors -- Index |
title_new |
The Mathematics of Various Entertaining Subjects : |
title_sort |
the mathematics of various entertaining subjects : volume 3: the magic of mathematics / |
publisher |
Princeton University Press, |
publishDate |
2019 |
physical |
1 online resource (352 p.) : 85 color + 71 b/w illus. Issued also in print. |
contents |
Frontmatter -- Contents -- Foreword -- Preface and Acknowledgments -- PART I. Puzzles and Brainteasers -- 1. Probability in Your Head -- 2. Solving Puzzles Backward -- 3. Spiral Galaxies Font -- 4. Kings, Sages, Hats, and Codes -- 5. How to Predict the Flip of a Coin -- 6. Coins and Logic -- PART II. Games -- 7. Bingo Paradoxes -- 8. Wiggly Games and Burnside's Lemma -- 9. Losing at Checkers Is Hard -- 10. Chutes and Ladders without Chutes or Ladders -- 11. Bugs, Braids, and Batching -- PART III. Algebra and Number Theory -- 12. The Magic of Charles Sanders Peirce -- 13. Can You Win Khalou in Five Moves? -- 14. On Partitions into Squares of Distinct Integers Whose Reciprocals Sum to 1 -- 15. Puzzles, Parity Maps, and Plenty of Solutions -- PART IV. Geometry and Topology -- 16. Should We Call Them Flexa-Bands? -- 17. The Shortest Connection Problem on Triangular Grids -- 18. Entropy of Lego Jumper Plates -- About the Editors -- About the Contributors -- Index |
isbn |
9780691194417 9783110610765 9783110664232 9783110610406 9783110606362 9783110663365 9780691182575 |
callnumber-first |
Q - Science |
callnumber-subject |
QA - Mathematics |
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QA93 |
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QA 293 |
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https://doi.org/10.1515/9780691194417?locatt=mode:legacy https://www.degruyter.com/isbn/9780691194417 https://www.degruyter.com/cover/covers/9780691194417.jpg |
illustrated |
Illustrated |
dewey-hundreds |
500 - Science |
dewey-tens |
510 - Mathematics |
dewey-ones |
510 - Mathematics |
dewey-full |
510 |
dewey-sort |
3510 |
dewey-raw |
510 |
dewey-search |
510 |
doi_str_mv |
10.1515/9780691194417?locatt=mode:legacy |
oclc_num |
1105199282 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>08958nam a22011895i 4500</leader><controlfield tag="001">9780691194417</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">210830t20192019nju fo d z eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9780691194417</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1515/9780691194417</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-B1597)527299</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)1105199282</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="050" ind1=" " ind2="4"><subfield code="a">QA93</subfield></datafield><datafield tag="072" ind1=" " ind2="7"><subfield code="a">MAT025000</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">510</subfield><subfield code="2">23</subfield></datafield><datafield tag="245" ind1="0" ind2="4"><subfield code="a">The Mathematics of Various Entertaining Subjects :</subfield><subfield code="b">Volume 3: The Magic of Mathematics /</subfield><subfield code="c">ed. by Jason Rosenhouse, Jennifer Beineke.</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Princeton, NJ : </subfield><subfield code="b">Princeton University Press, </subfield><subfield code="c">[2019]</subfield></datafield><datafield tag="264" ind1=" " ind2="4"><subfield code="c">©2019</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 online resource (352 p.) :</subfield><subfield code="b">85 color + 71 b/w 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="505" ind1="0" ind2="0"><subfield code="t">Frontmatter -- </subfield><subfield code="t">Contents -- </subfield><subfield code="t">Foreword -- </subfield><subfield code="t">Preface and Acknowledgments -- </subfield><subfield code="t">PART I. Puzzles and Brainteasers -- </subfield><subfield code="t">1. Probability in Your Head -- </subfield><subfield code="t">2. Solving Puzzles Backward -- </subfield><subfield code="t">3. Spiral Galaxies Font -- </subfield><subfield code="t">4. Kings, Sages, Hats, and Codes -- </subfield><subfield code="t">5. How to Predict the Flip of a Coin -- </subfield><subfield code="t">6. Coins and Logic -- </subfield><subfield code="t">PART II. Games -- </subfield><subfield code="t">7. Bingo Paradoxes -- </subfield><subfield code="t">8. Wiggly Games and Burnside's Lemma -- </subfield><subfield code="t">9. Losing at Checkers Is Hard -- </subfield><subfield code="t">10. Chutes and Ladders without Chutes or Ladders -- </subfield><subfield code="t">11. Bugs, Braids, and Batching -- </subfield><subfield code="t">PART III. Algebra and Number Theory -- </subfield><subfield code="t">12. The Magic of Charles Sanders Peirce -- </subfield><subfield code="t">13. Can You Win Khalou in Five Moves? -- </subfield><subfield code="t">14. On Partitions into Squares of Distinct Integers Whose Reciprocals Sum to 1 -- </subfield><subfield code="t">15. Puzzles, Parity Maps, and Plenty of Solutions -- </subfield><subfield code="t">PART IV. Geometry and Topology -- </subfield><subfield code="t">16. Should We Call Them Flexa-Bands? -- </subfield><subfield code="t">17. The Shortest Connection Problem on Triangular Grids -- </subfield><subfield code="t">18. Entropy of Lego Jumper Plates -- </subfield><subfield code="t">About the Editors -- </subfield><subfield code="t">About the Contributors -- </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">The history of mathematics is replete with examples of major breakthroughs resulting from the solutions to recreational problems. The modern theory of probability arose out of problems of concern to gamblers, for example, and modern combinatorics grew out of various games and puzzles. Despite this track record and a wealth of popular-level books, research in recreational mathematics has often been neglected. The Mathematics of Various Entertaining Subjects remedies this situation and returns with an all-new third volume, presenting further research into diverse areas of recreational mathematics.This third volume focuses on four areas: puzzles and brainteasers, games, algebra and number theory, and geometry and topology. Among the many topics, readers will create Spiral Galaxies (Japanese symmetric grid puzzles consisting of squares and circles) whose solutions are letters and numbers, delve into a paradox in the game of Bingo, examine the card tricks of mathematician-philosopher Charles Sanders Peirce, and learn about the mathematics behind Legos.Elucidating the many connections between mathematics and games, The Mathematics of Various Entertaining Subjects is sure to challenge and inspire mathematicians and math enthusiasts.</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="0"><subfield code="a">Mathematics.</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">MATHEMATICS / Recreations & Games.</subfield><subfield code="2">bisacsh</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Alekseyev, Max A., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Allocca, Michael P., </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield code="4">https://id.loc.gov/vocabulary/relators/ctb</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Anderson, Walker, </subfield><subfield code="e">contributor.</subfield><subfield code="4">ctb</subfield><subfield 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