000			02973nam a22003257a 4500
003			OSt
005			20250617101755.0
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020			_a9789349750715
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a510.22 _bMOO-D
100			_aMoore, Emily H.
245			_aDifference sets : _bconnecting algebra, combinatorics and geometry
260			_aIndia : _bUniversities Press, _c2025.
300			_axiii, 298 pages : _billustrations ; _c22 cm
490			_aStudent mathematical library ; _vv. 67
504			_aIncludes bibliographical references and indexes.
520			_aDifference sets belong both to group theory and to combinatorics. Studying them requires tools from geometry, number theory, and representation theory. This book lays a foundation for these topics, including a primer on representations and characters of finite groups. It makes the research literature on difference sets accessible to students who have studied linear algebra and abstract algebra, and it prepares them to do their own research. This text is suitable for an undergraduate capstone course, since it illuminates the many links among topics that the students have already studied. To this end, almost every chapter ends with a coda highlighting the main ideas and emphasizing mathematical connections. This book can also be used for self-study by anyone interested in these connections and concrete examples. An abundance of exercises, varying from straightforward to challenging, invites the reader to solve puzzles, construct proofs, and investigate problems—by hand or on a computer. Hints and solutions are provided for selected exercises, and there is an extensive bibliography. The last chapter introduces a number of applications to real-world problems and offers suggestions for further reading. Both authors are experienced teachers who have successfully supervised undergraduate research on difference sets.
521			_aReadership: Undergraduate students, graduate students, and research mathematicians interested in algebra and combinatorics.
650			_aDifference sets
650			_aCombinatorial geometry
650			_aCombinatorics _xDesigns and configurations _xDifference sets (number-theoretic, group-theoretic, etc.)
650			_aCombinatorics _xDesigns and configurations _xMatrices (incidence, Hadamard, etc.)
650			_aCombinatorics _xDesigns and configurations _xFinite geometries
650			_aGroup theory and generalizations _xRepresentation theory of groups _xOrdinary representations and characters
700			_aPollatsek, Harriet S.
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-67-toc.pdf?_gl=1*1qnyd2d*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxMzUwODgkajQ2JGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/18197804-difference-sets?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cN
999			_c36062 _d36062