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040			_aNISER LIBRARY _beng _cNISER LIBRARY
082			_a514.113.5 _bROB-F
100			_aRobins, Sinai
245			_aFourier analysis on polytopes and the geometry of numbers, part I : _ba friendly introduction
260			_aIndia : _bUniversities Press, _c2025.
300			_axxiii, 325 pages
490			_aStudent mathematical library, _vv. 107 _x1520-9121 ;
504			_aIncludes bibliographical references and index.
520			_aThis book offers a gentle introduction to the geometry of numbers from a modern Fourier-analytic point of view. One of the main themes is the transfer of geometric knowledge of a polytope to analytic knowledge of its Fourier transform. The Fourier transform preserves all of the information of a polytope, and turns its geometry into analysis. The approach is unique, and streamlines this emerging field by presenting new simple proofs of some basic results of the field. In addition, each chapter is fitted with many exercises, some of which have solutions and hints in an appendix. Thus, an individual learner will have an easier time absorbing the material on their own, or as part of a class. Overall, this book provides an introduction appropriate for an advanced undergraduate, a beginning graduate student, or researcher interested in exploring this important expanding field.
521			_aReadership: Undergraduate and graduate students and researchers interested in analysis and periodical structures.
650			_aFourier analysis
650			_aPolytopes
650			_aGeometry of numbers
650			_aGeometry _xReal and complex geometry _xPolyhedra and polytopes
650			_aNumber theory _xAdditive number theory
650			_aConvex and discrete geometry _xPolytopes and polyhedra
650			_aGeometry of numbers _xLattice packing and covering
856			_3Table of Contents _uhttps://www.ams.org/bookstore/pspdf/stml-107-toc.pdf?_gl=1*1wjl8xi*_ga*NzkyMDE0ODczLjE3NTAwNDYzMjU.*_ga_26G4XFTR63*czE3NTAxMzI2MzckbzIkZzEkdDE3NTAxMzQyNjMkajU0JGwwJGgw
856			_3Reviews _uhttps://www.goodreads.com/book/show/212388943-fourier-analysis-on-polytopes-and-the-geometry-of-numbers?ref=nav_sb_ss_1_13#CommunityReviews
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