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040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a514 _bTHO-L
100			_aThomas, Rekha R.
245			_aLectures in geometric combinatorics
260			_aIndia : _bUniversities Press, _c2025.
300			_aviii, 143 p. : _bill. ; _c22 cm
490			_aStudent mathematical library, _aIAS/Park City mathematical subseries _vv. 33 _x1520-9121 ;
504			_aIncludes bibliographical references (p. 139-140) and index.
520			_aThis book presents a course in the geometry of convex polytopes in arbitrary dimension, suitable for an advanced undergraduate or beginning graduate student. The book starts with the basics of polytope theory. Schlegel and Gale diagrams are introduced as geometric tools to visualize polytopes in high dimension and to unearth bizarre phenomena in polytopes. The heart of the book is a treatment of the secondary polytope of a point configuration and its connections to the state polytope of the toric ideal defined by the configuration. These polytopes are relatively recent constructs with numerous connections to discrete geometry, classical algebraic geometry, symplectic geometry, and combinatorics. The connections rely on Gröbner bases of toric ideals and other methods from commutative algebra. The book is self-contained and does not require any background beyond basic linear algebra. With numerous figures and exercises, it can be used as a textbook for courses on geometric, combinatorial, and computational aspects of the theory of polytopes. This book is published in cooperation with IAS/Park City Mathematics Institute.
521			_aReadership: Undergraduate and graduate students interested in computational geometry and polytopes.
650			_aCombinatorial geometry
650			_aCombinatorial analysis
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-33-toc.pdf?_gl=1*cnyah3*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxMzk5NDMkajU1JGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/1801052.Lectures_in_Geometric_Combinatorics_Student_Mathematical_Library_V_33_?ref=nav_sb_ss_1_35#CommunityReviews
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