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Author : Alex M. Andrew
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (66 download)
Download or read book Table of the Stirling Numbers of the Second Kind written by Alex M. Andrew and published by . This book was released on 1965 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jocelyn Quaintance
Publisher : World Scientific
ISBN 13 : 9814725285
Total Pages : 277 pages
Book Rating : 4.8/5 (147 download)
Download or read book Combinatorial Identities for Stirling Numbers written by Jocelyn Quaintance and published by World Scientific. This book was released on 2015-10-27 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the specialist in enumerative combinatorics. This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which relate Stirling numbers of the second kind to Stirling numbers of the first kind. Professor Gould's techniques also provide connections between both types of Stirling numbers and Bernoulli numbers. Professor Gould believes his research success comes from his intuition on how to discover combinatorial identities. This book will appeal to a wide audience and may be used either as lecture notes for a beginning graduate level combinatorics class, or as a research supplement for the specialist in enumerative combinatorics."--
Author : Sylvania Electric Products, Inc. Reconnaissance Systems Laboratory
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.F/5 ( download)
Download or read book Table of Stirling Numbers of the Second Kind written by Sylvania Electric Products, Inc. Reconnaissance Systems Laboratory and published by . This book was released on 1961 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Francis L. Miksa
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (184 download)
Download or read book Stirling Numbers written by Francis L. Miksa and published by . This book was released on 1955 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. M. Andrew
Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.X/5 (1 download)
Download or read book Table of the Stirling Numbers of the Second Kind written by A. M. Andrew and published by . This book was released on 1965 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: A printout is given for a program for computing Stirling numbers of the second kind that uses the recursive formula S(n, k) = S(n-1, k-1) + k. S(N-1,k) for k>2, and S(n, k) = 1 for k = 1. Computed values are given for S(n, k)
Author : Francis L. Miksa
Publisher :
ISBN 13 :
Total Pages : 46 pages
Book Rating : 4.:/5 (494 download)
Download or read book Two Tables: I. Stirling Numbers of the Second Kind; II. Stirling Numbers of the First Kind written by Francis L. Miksa and published by . This book was released on 195? with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Milton Abramowitz
Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)
Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems
Author : John Riordan
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.F/5 ( download)
Download or read book Combinatorial Identities written by John Riordan and published by . This book was released on 1979 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ian Tweddle
Publisher : Springer Science & Business Media
ISBN 13 : 1447100212
Total Pages : 301 pages
Book Rating : 4.4/5 (471 download)
Download or read book James Stirling’s Methodus Differentialis written by Ian Tweddle and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new translation makes this classic and important text more generally accessible. The text is placed in its contemporary context, but also related to the interests of practising mathematicians today. This book will be of interest to mathematical historians, researchers, and numerical analysts.
Author : Alex M. Andrew
Publisher :
ISBN 13 :
Total Pages : 154 pages
Book Rating : 4.:/5 (931 download)
Download or read book Table of the Stirling Numbers of the Second Kind S (N,K) for N,K Up to 100 Snd for Values of S (N,K) Equal Or Smaller Than 10 109 -1 written by Alex M. Andrew and published by . This book was released on 1965 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jocelyn Quaintance
Publisher : World Scientific
ISBN 13 : 9814725293
Total Pages : 277 pages
Book Rating : 4.8/5 (147 download)
Download or read book Combinatorial Identities For Stirling Numbers: The Unpublished Notes Of H W Gould written by Jocelyn Quaintance and published by World Scientific. This book was released on 2015-10-27 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a unique work which provides an in-depth exploration into the mathematical expertise, philosophy, and knowledge of H W Gould. It is written in a style that is accessible to the reader with basic mathematical knowledge, and yet contains material that will be of interest to the specialist in enumerative combinatorics. This book begins with exposition on the combinatorial and algebraic techniques that Professor Gould uses for proving binomial identities. These techniques are then applied to develop formulas which relate Stirling numbers of the second kind to Stirling numbers of the first kind. Professor Gould's techniques also provide connections between both types of Stirling numbers and Bernoulli numbers. Professor Gould believes his research success comes from his intuition on how to discover combinatorial identities.This book will appeal to a wide audience and may be used either as lecture notes for a beginning graduate level combinatorics class, or as a research supplement for the specialist in enumerative combinatorics.
Author : Bruce E. Sagan
Publisher : American Mathematical Soc.
ISBN 13 : 1470460327
Total Pages : 304 pages
Book Rating : 4.4/5 (74 download)
Download or read book Combinatorics: The Art of Counting written by Bruce E. Sagan and published by American Mathematical Soc.. This book was released on 2020-10-16 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is a gentle introduction to the enumerative part of combinatorics suitable for study at the advanced undergraduate or beginning graduate level. In addition to covering all the standard techniques for counting combinatorial objects, the text contains material from the research literature which has never before appeared in print, such as the use of quotient posets to study the Möbius function and characteristic polynomial of a partially ordered set, or the connection between quasisymmetric functions and pattern avoidance. The book assumes minimal background, and a first course in abstract algebra should suffice. The exposition is very reader friendly: keeping a moderate pace, using lots of examples, emphasizing recurring themes, and frankly expressing the delight the author takes in mathematics in general and combinatorics in particular.
Author : Daniel Zwillinger
Publisher : CRC Press
ISBN 13 : 1439835500
Total Pages : 792 pages
Book Rating : 4.4/5 (398 download)
Download or read book CRC Standard Mathematical Tables and Formulae, 32nd Edition written by Daniel Zwillinger and published by CRC Press. This book was released on 2011-06-22 with total page 792 pages. Available in PDF, EPUB and Kindle. Book excerpt: With over 6,000 entries, CRC Standard Mathematical Tables and Formulae, 32nd Edition continues to provide essential formulas, tables, figures, and descriptions, including many diagrams, group tables, and integrals not available online. This new edition incorporates important topics that are unfamiliar to some readers, such as visual proofs and sequences, and illustrates how mathematical information is interpreted. Material is presented in a multisectional format, with each section containing a valuable collection of fundamental tabular and expository reference material. New to the 32nd Edition A new chapter on Mathematical Formulae from the Sciences that contains the most important formulae from a variety of fields, including acoustics, astrophysics, epidemiology, finance, statistical mechanics, and thermodynamics New material on contingency tables, estimators, process capability, runs test, and sample sizes New material on cellular automata, knot theory, music, quaternions, and rational trigonometry Updated and more streamlined tables Retaining the successful format of previous editions, this comprehensive handbook remains an invaluable reference for professionals and students in mathematical and scientific fields.
Author : Toufik Mansour
Publisher : CRC Press
ISBN 13 : 1466579897
Total Pages : 506 pages
Book Rating : 4.4/5 (665 download)
Download or read book Commutation Relations, Normal Ordering, and Stirling Numbers written by Toufik Mansour and published by CRC Press. This book was released on 2015-09-18 with total page 506 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutation Relations, Normal Ordering, and Stirling Numbers provides an introduction to the combinatorial aspects of normal ordering in the Weyl algebra and some of its close relatives. The Weyl algebra is the algebra generated by two letters U and V subject to the commutation relation UV - VU = I. It is a classical result that normal ordering pow
Author : Khristo N Boyadzhiev
Publisher : World Scientific
ISBN 13 : 9813234997
Total Pages : 206 pages
Book Rating : 4.8/5 (132 download)
Download or read book Notes On The Binomial Transform: Theory And Table With Appendix On Stirling Transform written by Khristo N Boyadzhiev and published by World Scientific. This book was released on 2018-04-10 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: The binomial transform is a discrete transformation of one sequence into another with many interesting applications in combinatorics and analysis. This volume is helpful to researchers interested in enumerative combinatorics, special numbers, and classical analysis. A valuable reference, it can also be used as lecture notes for a course in binomial identities, binomial transforms and Euler series transformations. The binomial transform leads to various combinatorial and analytical identities involving binomial coefficients. In particular, we present here new binomial identities for Bernoulli, Fibonacci, and harmonic numbers. Many interesting identities can be written as binomial transforms and vice versa.The volume consists of two parts. In the first part, we present the theory of the binomial transform for sequences with a sufficient prerequisite of classical numbers and polynomials. The first part provides theorems and tools which help to compute binomial transforms of different sequences and also to generate new binomial identities from the old. These theoretical tools (formulas and theorems) can also be used for summation of series and various numerical computations.In the second part, we have compiled a list of binomial transform formulas for easy reference. In the Appendix, we present the definition of the Stirling sequence transform and a short table of transformation formulas.
Author : Herbert S. Wilf
Publisher : Elsevier
ISBN 13 : 1483276635
Total Pages : 193 pages
Book Rating : 4.4/5 (832 download)
Download or read book Generatingfunctionology written by Herbert S. Wilf and published by Elsevier. This book was released on 2014-05-10 with total page 193 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generatingfunctionology provides information pertinent to generating functions and some of their uses in discrete mathematics. This book presents the power of the method by giving a number of examples of problems that can be profitably thought about from the point of view of generating functions. Organized into five chapters, this book begins with an overview of the basic concepts of a generating function. This text then discusses the different kinds of series that are widely used as generating functions. Other chapters explain how to make much more precise estimates of the sizes of the coefficients of power series based on the analyticity of the function that is represented by the series. This book discusses as well the applications of the theory of generating functions to counting problems. The final chapter deals with the formal aspects of the theory of generating functions. This book is a valuable resource for mathematicians and students.
Author : Philippe Flajolet
Publisher : Cambridge University Press
ISBN 13 : 1139477161
Total Pages : 825 pages
Book Rating : 4.1/5 (394 download)
Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.
