000			a
999			_c31782 _d31782
008			230416b xxu||||| |||| 00| 0 eng d
020			_a9781138364332
082			_a511.5 _bROB
100			_aRobertson, Aaron
245			_aFundamentals of Ramsey theory
260			_bCRC Press, _c2021 _aBoca Raton :
300			_axiii, 241 p.; _bill., _c24 cm
365			_b74.99 _cGBP _d104.20
490			_aDiscrete mathematics and its applications
504			_aIncludes bibliographical references and index.
520			_aRamsey theory is a fascinating topic. The author shares his view of the topic in this contemporary overview of Ramsey theory. He presents from several points of view, adding intuition and detailed proofs, in an accessible manner unique among most books on the topic. This book covers all of the main results in Ramsey theory along with results that have not appeared in a book before. The presentation is comprehensive and reader friendly. The book covers integer, graph, and Euclidean Ramsey theory with many proofs being combinatorial in nature. The author motivates topics and discussion, rather than just a list of theorems and proofs. In order to engage the reader, each chapter has a section of exercises. This up-to-date book introduces the field of Ramsey theory from several different viewpoints so that the reader can decide which flavor of Ramsey theory best suits them. Additionally, the book offers: A chapter providing different approaches to Ramsey theory, e.g., using topological dynamics, ergodic systems, and algebra in the Stone-Čech compactification of the integers. A chapter on the probabilistic method since it is quite central to Ramsey-type numbers. A unique chapter presenting some applications of Ramsey theory. Exercises in every chapter The intended audience consists of students and mathematicians desiring to learn about Ramsey theory. An undergraduate degree in mathematics (or its equivalent for advanced undergraduates) and a combinatorics course is assumed.
650			_aCombinatorics
650			_aAruoutov-Folkman-Rado-Sanders' theorem
650			_aBonferroni inequalities
650			_aCompactness principle
650			_a de Bruijn-Erdos theorem
650			_aErdos-Ko-Rado theorem
650			_a Euler's formula
650			_aFermat's last theorem
650			_aHindman's theorem
650			_aInfinite Ramsey theorem
650			_a Krylov-Bogoliubov theorem
650			_aLefmann's theorem
650			_aMultiple Birkoff Recurrence theorem
650			_aRedo's theorem for powers
650			_aSteiner system
650			_a Tychonoff's theorem
650			_a Van der Waerden's theorem
942			_2ddc _cBK