000			03122nam a22003497a 4500
003			OSt
005			20250508154252.0
008			250508b |||||||| |||| 00| 0 hin d
020			_a9783031916496
040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a519.165 _bSTA-A
100	1		_aStanley, Richard P.
245	1	0	_aAlgebraic combinatorics : _bwalks, trees, tableaux, and more
250			_a2nd edition
260			_aCham, Switzerland : _bSpringer, _c2018.
300			_axvi, 263 pages : _billustrations
490			_aUndergraduate texts in mathematics, _x0172-6056
504			_aIncludes bibliographical references and index
520			_aWritten by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound understanding to mathematical, engineering, and business models. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and rudiments of group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix-Tree Theorem, de Bruijn sequences, the Erdős–Moser conjecture, electrical networks, the Sperner property, shellability of simplicialcomplexes and face rings. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. The new edition contains a bit more content than intended for a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Instructors may pick and choose chapters/sections for course inclusion and students can immerse themselves in exploring additional gems once the course has ended. A chapter on combinatorial commutative algebra (Chapter 12) is the heart of added material in this new edition. The author gives substantial application without requisites needed for algebraic topology and homological algebra. A sprinkling of additional exercises and a new section (13.8) involving commutative algebra, have been added.
650			_aCombinatorial analysis
650			_aMatrix-Tree theorem
650			_aRadon transform
650			_aSperner property
650			_aAlgebraic combinatorics
650			_aCombinatorial commutative algebra
650			_aEulerian digraphs
650			_aHadamard matrices
650			_aFisher inequality
856			_3Table of contents _uhttps://link.springer.com/content/pdf/bfm:978-3-319-77173-1/1
856			_3Reviews _uhttps://www.goodreads.com/book/show/46025764-algebraic-combinatorics?ref=nav_sb_ss_1_13#CommunityReviews
942			_2udc _cN
999			_c36032 _d36032