LEADER 03145nam 2200541 450 001 9910483733103321 005 20220318144504.0 010 $a3-030-56395-2 024 7 $a10.1007/978-3-030-56395-0 035 $a(CKB)4100000011528341 035 $a(MiAaPQ)EBC6382108 035 $a(DE-He213)978-3-030-56395-0 035 $a(MiAaPQ)EBC6647482 035 $a(Au-PeEL)EBL6382108 035 $a(OCoLC)1202746207 035 $a(Au-PeEL)EBL6647482 035 $a(PPN)269145796 035 $a(EXLCZ)994100000011528341 100 $a20220318d2020 uy 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cn$2rdamedia 183 $anc$2rdacarrier 200 10$aCombinatorics and finite geometry /$fSteven T. Doughtery 205 $a1st ed. 2020. 210 1$aCham, Switzerland :$cSpringer,$d[2020] 210 4$dİ2020 215 $a1 online resource (XV, 369 p. 100 illus.) 225 1 $aSpringer Undergraduate Mathematics Series,$x1615-2085 311 $a3-030-56394-4 320 $aIncludes bibliographical references and index. 327 $a1 Foundational Combinatorial Structures -- 2 Foundational Algebraic Structures -- 3 Mutually Orthogonal Latin Squares -- 4 Affine and Projective Planes -- 5 Graphs -- 6 Higher Dimensional Finite Geometry -- 7 Designs -- 8 Combinatorial Objects -- 9 Discrete Probability - A Return to Counting -- 10 Automorphism Groups -- 11 Codes -- 12 Cryptology -- 13 Games and Designs -- 14 Epilogue -- References -- Glossary -- Solutions to Selected Odd Problems -- Index. 330 $aThis undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics. 410 0$aSpringer Undergraduate Mathematics Series,$x1615-2085 606 $aCombinatorial analysis 606 $aFinite geometries 615 0$aCombinatorial analysis. 615 0$aFinite geometries. 676 $a516.13 700 $aDougherty$b Steven$f1966-$01214975 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910483733103321 996 $aCombinatorics and finite geometry$92806201 997 $aUNINA