000			a
999			_c30645 _d30645
008			220107b xxu||||| |||| 00| 0 eng d
020			_a9783030722272
082			_a511.6 _bGOL
100			_aGolomb, Solomon W.
245			_aSolomon Golomb's course on undergraduate combinatorics
260			_bSpringer, _c2021 _aCham :
300			_axviii, 458 p. ; _bill., _c25 cm
365			_b59.99 _cEUR _d88.70
504			_aIncludes bibliographical references and index.
520			_aThis textbook offers an accessible introduction to combinatorics, infused with Solomon Golomb's insights and illustrative examples. Core concepts in combinatorics are presented with an engaging narrative that suits undergraduate study at any level. Featuring early coverage of the Principle of Inclusion-Exclusion and a unified treatment of permutations later on, the structure emphasizes the cohesive development of ideas. Combined with the conversational style, this approach is especially well suited to independent study. Falling naturally into three parts, the book begins with a flexible Chapter Zero that can be used to cover essential background topics, or as a standalone problem-solving course. The following three chapters cover core topics in combinatorics, such as combinations, generating functions, and permutations. The final three chapters present additional topics, such as Fibonacci numbers, finite groups, and combinatorial structures. Numerous illuminating examples are included throughout, along with exercises of all levels. Three appendices include additional exercises, examples, and solutions to a selection of problems. Solomon Golomb's Course on Undergraduate Combinatorics is ideal for introducing mathematics students to combinatorics at any stage in their program. There are no formal prerequisites, but readers will benefit from mathematical curiosity and a willingness to engage in the book's many entertaining challenges.
650			_aCombinatorics
650			_aInclusion-Exclusion, Principle
650			_a Associative Property
650			_a Closure Property
650			_aDistribution problem
650			_a Euler phi-function
650			_aIsomophic groups
650			_aInverse Property
650			_aMobius mu-function(u)
650			_aTau-function(T)
650			_a Summation operator
700			_aLiu, Andy
942			_2ddc _cBK