04005cam 22005418i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000370013305000220017008200150019208400780020710000370028524500860032226300090040826401000041730000340051733600260055133700280057733800270060549000570063250400510068950507170074050600500145753300950150753800360160258800470163865000280168565000170171365000480173065001730177865002100195165001880216165001980234965000460254765001930259365001260278665001130291265001030302565001120312870000300324077601050327085600420337585600460341721477753RPAM20210319194752.0a b 001 0 cr/|||||||||||210319s2020 riu ob 001 0 eng  a9781470456672 (online) aLBSOR/DLCbengcLBSORerdadRPAM00aQA164b.B758 202000a511/.6223 a05B05a05B10a05B35a05C15a11Bxxa20B25a51E10a52C20a91A46a94Bxx2msc1 aBrown, Ezraq(Ezra A.),eauthor.14aThe unity of combinatorics /h[electronic resource] cEzra Brown, Richard K. Guy. a1111 1aProvidence, Rhode Island :bMAA Press, an imprint of the American Mathematical Society,c[2020] a1 online resource (pages cm.) atextbtxt2rdacontent aunmediatedbn2rdamedia avolumebnc2rdacarrier0 aCarus Mathematical Monographs, x2637-7535 ; vv. 36 aIncludes bibliographical references and index.00tIntroductiontBlocks, sequences, bow ties, and wormstCombinatorial gamestFibonacci, Pascal, and CatalantCatwalks, sandsteps, and Pascal pyramidstUnique rook circuitstSums, colorings, squared squares, and packingstDifference sets and combinatorial designstGeometric connectionstThe groups $PSL(2,7)$ and $GL(3,2)$ and why they are isomorphictIncidence matrices, codes, and sphere packingstKirkman's Schoolgirls, fields, spreads, and hatst$(7,3,1)$ and combinatoricst$(7,3,1)$ and normed algebrast$(7,3,1)$ and matroidstCoin turning games and Mock TurtlestThe $(11,5,2)$ biplane, codes, designs, and groupstRick's Tricky Six Puzzle: More than meets the eyet$S(5,8,24)$tThe miracle octad generator1 aAccess is restricted to licensed institutions aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2020 aMode of access : World Wide Web aDescription based on print version record. 0aCombinatorial analysis. 0aGame theory. 0aError-correcting codes (Information theory) 7aCombinatorics {For finite fields, see 11Txx} -- Designs and configurations {For applications of design theory, see 94C30} -- Block designs [See also 51E05, 62K10].2msc 7aCombinatorics {For finite fields, see 11Txx} -- Designs and configurations {For applications of design theory, see 94C30} -- Difference sets (number-theoretic, group-theoretic, etc.) [See also 11B13].2msc 7aCombinatorics {For finite fields, see 11Txx} -- Designs and configurations {For applications of design theory, see 94C30} -- Matroids, geometric lattices [See also 52B40, 90C27].2msc 7aCombinatorics {For finite fields, see 11Txx} -- Graph theory {For applications of graphs, see 68R10, 81Q30, 81T15, 82B20, 82C20, 90C35, 92E10, 94C15} -- Coloring of graphs and hypergraphs.2msc 7aNumber theory -- Sequences and sets.2msc 7aGroup theory and generalizations -- Permutation groups -- Finite automorphism groups of algebraic, geometric, or combinatorial structures [See also 05Bxx, 12F10, 20G40, 20H30, 51-XX].2msc 7aGeometry {For algebraic geometry, see 14-XX} -- Finite geometry and special incidence structures -- Steiner systems.2msc 7aConvex and discrete geometry -- Discrete geometry -- Tilings in $2$ dimensions [See also 05B45, 51M20].2msc 7aGame theory, economics, social and behavioral sciences -- Game theory -- Combinatorial games.2msc 7aInformation and communication, circuits -- Theory of error-correcting codes and error-detecting codes.2msc1 aGuy, Richard K.,eauthor.0 iPrint version: aBrown, Ezratunity of combinatorics /w(DLC) 2019056911x0069-0813z97814704527974 3Contentsuhttps://www.ams.org/car/0364 3Contentsuhttps://doi.org/10.1090/car/036