000			02149nam a22002777i 4500
005			20250716123529.0
008			250716s2022 us a|||fr|||| 00| 0 eng d
020			_a9781639892150
040			_aEG-GaU‬‬ _cEG-GaU‬‬ _dEG-GaU‬‬ _erda
082	0	4	_223 _a511.6 _bB.D.F
100	1		_aBallard, Desmond. _eAUTHR _960279
245	1	0	_aFoundations of Combinatorics / _cDesmond Ballard.
264		1	_aNew York : _bStates Academic Press, _c2022
300			_a236 pages : _bIllustrations ; _c25 cm.
336			_2rdacontent _atext _btxt
337			_2rdamedia _aunmediated _bn
338			_2rdacarrier _avolume _bnc
504			_aIncludes bibliographical references.
520			_aThe field of mathematics that primarily deals with counting is known as combinatorics. It is used as a means and an end in obtaining results and in studying properties of finite structures. It addresses the problems of enumeration, construction, existence and optimization of these structures. The discipline has many sub-fields. Some of these are analytic combinatorics, extremal combinatorics, enumerative combinatorics, probabilistic and algebraic combinatorics. Coding theory, discrete and computational geometry, combinatorics and physics, combinatorics and dynamical systems, and combinatorial optimization are some of the fields that are closely related to this discipline. The field finds its application in logical and statistical physics, pure mathematics, geometry, topology, computer science and evolutionary biology. The book studies, analyzes and upholds the pillars of combinatorics and its utmost significance in modern times. It also unfolds the innovative aspects of this area of study which will be crucial for the holistic understanding of the subject matter. This book, with its detailed analyzes and data, will prove immensely beneficial to professionals and students involved in this area at various levels.
650		0	_aCombinatorics. _960160
650		0	_aMathematics.
650		0	_aSymbolic computation. _960280
650		0	_aComputational geometry. _960281
942			_2ddc _cBK
999			_c11006 _d11006