000			02815nam a22003017a 4500
003			OSt
005			20250728172637.0
008			250728b |||||||| |||| 00| 0 eng d
020			_a9781489992857
020			_a9783031916496 (pbk.) _c€ 49.99
040			_bENG _cIISER-BPR _dIISER-BPR
041			_aENG
082			_a511.6 _bSTA _223rd
100			_aStanley, Richard P. _95507
222			_aMathematics
245			_aAlgebraic combinatorics : _bWalks, trees, tableaux , and more.
250			_a2nd ed.
260			_aCham; Switzwerland : _bSpringer Nature, _cc2018.
300			_axvi, 2163 p. : _bill. ; _c23cm.
440			_aUndergraduate Texts in Mathematics
504			_aIncludes illustrations, bibliography 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			_aMathematics
650			_aGeneral principles of mathematics _95475
650			_aCombinatorics
650			_aAlgebraic combinatorics _95508
942			_2ddc _cBK
999			_c4272 _d4272