Summation of Series by the Methods of Finite Differences
Author : Richard Lawrence Miller
Publisher :
Page : 86 pages
File Size : 18,69 MB
Release : 1932
Category :
ISBN :
Author : Richard Lawrence Miller
Publisher :
Page : 86 pages
File Size : 18,69 MB
Release : 1932
Category :
ISBN :
Author : Harold Thayer Davis
Publisher :
Page : 158 pages
File Size : 27,74 MB
Release : 1962
Category : Mathematics
ISBN :
Author : Tian-Xiao He
Publisher : CRC Press
Page : 458 pages
File Size : 47,98 MB
Release : 2022-01-26
Category : Mathematics
ISBN : 1000534332
This 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 author’s 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.
Author : George Chrystal
Publisher : American Mathematical Soc.
Page : 652 pages
File Size : 45,86 MB
Release : 1999
Category : Mathematics
ISBN : 9780821816493
In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions. The range of entries in the Subject Index is very wide. To mention a few out of many hundreds: Horner's method, multinomial theorem, mortality table, arithmetico-geometric series, Pellian equation, Bernoulli numbers, irrationality of e, Gudermanian, Euler numbers, continuant, Stirling's theorem, Riemann surface. This volume includes over 2,400 exercises with solutions.
Author : James PEARSON (of Trinity College, Cambridge.)
Publisher :
Page : 112 pages
File Size : 49,62 MB
Release : 1850
Category :
ISBN :
Author : George Boole
Publisher :
Page : 358 pages
File Size : 15,24 MB
Release : 1872
Category : Calculus, Integral
ISBN :
Author : Károly Jordán
Publisher : American Mathematical Soc.
Page : 704 pages
File Size : 12,5 MB
Release : 1965
Category : Mathematics
ISBN : 9780828400336
Author : Douglas Barker Sears
Publisher :
Page : pages
File Size : 33,79 MB
Release : 1943
Category :
ISBN :
Author : Ibrahim M. Alabdulmohsin
Publisher : Springer
Page : 168 pages
File Size : 44,91 MB
Release : 2018-03-07
Category : Mathematics
ISBN : 3319746480
This book develops the foundations of "summability calculus", which is a comprehensive theory of fractional finite sums. It fills an important gap in the literature by unifying and extending disparate historical results. It also presents new material that has not been published before. Importantly, it shows how the study of fractional finite sums benefits from and contributes to many areas of mathematics, such as divergent series, numerical integration, approximation theory, asymptotic methods, special functions, series acceleration, Fourier analysis, the calculus of finite differences, and information theory. As such, it appeals to a wide audience of mathematicians whose interests include the study of special functions, summability theory, analytic number theory, series and sequences, approximation theory, asymptotic expansions, or numerical methods. Richly illustrated, it features chapter summaries, and includes numerous examples and exercises. The content is mostly developed from scratch using only undergraduate mathematics, such as calculus and linear algebra.
Author : Louis Melville Milne-Thomson
Publisher : American Mathematical Soc.
Page : 586 pages
File Size : 41,74 MB
Release : 2000
Category : Mathematics
ISBN : 9780821821077