000			a
999			_c31004 _d31004
008			220530b xxu||||| |||| 00| 0 eng d
020			_a9780367507978
082			_a515.243 _bHET
100			_aHe, Tian-Xiao
245			_aMethods for the summation of series
260			_bCRC Press, _c2022 _aBoca Raton :
300			_axxi, 435 p. ; _bill., _c25 cm
365			_b180.00 _cGBP _d102.80
490			_aDiscrete mathematics and its applications
504			_aIncludes Bibliographical references and index.
520			_aThis book presents methods for the summation of infinite and finite series and the related identities and inversion relations. The summation includes the column sums and row sums of lower triangular matrices. The convergence of the summation of infinite series is considered. The author⁰́₉s focus is on symbolic methods and the Riordan array approach. In addition, this book contains hundreds summation formulas and identities, which can be used as a handbook for people working in computer science, applied mathematics, and computational mathematics, particularly, combinatorics, computational discrete mathematics, and computational number theory. The exercises at the end of each chapter help deepen understanding. Much of the materials in this book has never appeared before in textbook form. This book can be used as a suitable textbook for advanced courses for high lever undergraduate and lower lever graduate students. It is also an introductory self-study book for re- searchers interested in this field, while some materials of the book can be used as a portal for further research.
650			_aCombinatorics
650			_aLinear Algebra
650			_aAbel's theorem
650			_aBernoulli numbers
650			_a Cassini-Kepler identity
650			_aDirichlet test
650			_aDyck path
650			_aEuler polynomial sequences
650			_aRiordan Arrays
650			_aGenerating function(GF)
650			_aHolonomic function
650			_aGrunnert's formula
650			_aLittle O Tauber Theorem
650			_a Pascal matrix
650			_a Riordan array
650			_a Self-dual sequence
650			_aStirling's formula
650			_aTelescoping series
650			_aW-Z method
942			_2ddc _cBK