000			02137nam a2200289 a 4500
001			18664
003			Central Library, Khulna University
005			20250206101643.0
008			250206m20182022us a|||| |||| 001 0deng d
020			_a9781032476254 _qPaperback
040			_cCentral Library, Khulna University
041			_2eng
082			_a519.146 _bBAA
100			_aBajnok, Béla _eAuthor
245			_aAdditive Combinatorics : _bA Menu of Research Problems / _cBéla Bajnok
250			_a1st ed
260			_aBoca Raton : _bCRC Press, _c2022
300			_axix, 390 pages : _billustrations ; _c26 cm
504			_aIncludes bibliographical references and indexes.
505	0		_aIngredients.Number theory. Divisibility of integers. Congruences.The Fundamental Theorem of Number Theory. Multiplicative number theory. Additive number theory. Combinatorics.Basic enumeration principles.Counting lists, sequences, sets, and multisets.Binomial coefficients and Pascal’s Triangle. Some recurrence relations. The integer lattice and its layers. Group theory. Finite abelian groups. Group isomorphisms. The Fundamental Theorem of Finite Abelian Groups. Subgroups and cosets. Subgroups generated by subsets. Sumsets. Appetizers. Spherical designs. Caps, centroids, and the game SET. How many elements does it take to span a group? In pursuit of perfection.The declaration of independence. Sides. Auxiliary functions. Entrees. Maximum sumset size. Spanning set. Sidon sets. Minimum sumset size. The critical number. Zero-sum-free sets. Sum-free sets. Pudding. Proof of Propositions and Theorems
520			_aAdditive Combinatorics: A Menu of Research Problems is the first book of its kind in aims and scope: it provides readers with an opportunity to actively explore the relatively new field of additive combinatorics. The author has written it specifically for students of any background and proficiency level, from beginners to advanced researche.
650			_aAdditive combinatorics
650			_aAnalyse combinatoire
650			_aCombinatoire additive
650			_aCombinatorial analysis
942			_cBK
999			_c18664 _d18664