Methods For The Summation Of Series
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Methods For The Summation Of Series
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Author : Tian-Xiao He
language : en
Publisher: CRC Press
Release Date : 2022-01-26
Methods For The Summation Of Series written by Tian-Xiao He and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-26 with Mathematics categories.
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.
Ramanujan Summation Of Divergent Series
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Author : Bernard Candelpergher
language : en
Publisher: Springer
Release Date : 2017-09-12
Ramanujan Summation Of Divergent Series written by Bernard Candelpergher and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-12 with Mathematics categories.
The aim of this monograph is to give a detailed exposition of the summation method that Ramanujan uses in Chapter VI of his second Notebook. This method, presented by Ramanujan as an application of the Euler-MacLaurin formula, is here extended using a difference equation in a space of analytic functions. This provides simple proofs of theorems on the summation of some divergent series. Several examples and applications are given. For numerical evaluation, a formula in terms of convergent series is provided by the use of Newton interpolation. The relation with other summation processes such as those of Borel and Euler is also studied. Finally, in the last chapter, a purely algebraic theory is developed that unifies all these summation processes. This monograph is aimed at graduate students and researchers who have a basic knowledge of analytic function theory.
The Summation Of Series
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Author : Harold T. Davis
language : en
Publisher: Courier Dover Publications
Release Date : 2014-12-16
The Summation Of Series written by Harold T. Davis and has been published by Courier Dover Publications this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-12-16 with Mathematics categories.
Valuable as text and a reference, this concise monograph covers calculus of finite differences, gamma and psi functions, other methods of summation, summation of tables, and infinite sums. 1962 edition.
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics
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Author : Gustavo A. Arteca
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Large Order Perturbation Theory And Summation Methods In Quantum Mechanics written by Gustavo A. Arteca and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
The book provides a general, broad approach to aspects of perturbation theory. The aim has been to cover all topics of interest, from construction, analysis, and summation of perturbation series to applications. Emphasis is placed on simple methods, as well as clear, intuitive ideas stemming from the physics of systems of interest.
Generatingfunctionology
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Author : Herbert S. Wilf
language : en
Publisher: CRC Press
Release Date : 2005-12-20
Generatingfunctionology written by Herbert S. Wilf and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-12-20 with Computers categories.
Generating functions, one of the most important tools in enumerative combinatorics, are a bridge between discrete mathematics and continuous analysis. Generating functions have numerous applications in mathematics, especially in - Combinatorics - Probability Theory - Statistics - Theory of Markov Chains - Number Theory One of the most important and relevant recent applications of combinatorics lies in the development of Internet search engines whose incredible capabilities dazzle even the mathematically trained user.
Engineering Mathematics By Example
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Author : Robert Sobot
language : en
Publisher: Springer Nature
Release Date : 2022-01-24
Engineering Mathematics By Example written by Robert Sobot and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-24 with Technology & Engineering categories.
This textbook is a complete, self-sufficient, self-study/tutorial-type source of mathematical problems. It serves as a primary source for practicing and developing mathematical skills and techniques that will be essential in future studies and engineering practice. Rigor and mathematical formalism is drastically reduced, while the main focus is on developing practical skills and techniques for solving mathematical problems, given in forms typically found in engineering and science. These practical techniques cover the subjects of algebra, complex algebra, linear algebra, and calculus of single and multiple argument functions. In addition, the second part of the book covers problems on Convolution and Fourier integrals/sums of typical functions used in signal processing. Offers a large collection of progressively more sophisticated mathematical problems on main mathematical topics required for engineers/scientists; Provides, at the beginning of each topic, a brief review of definitions and formulas that are about to be used and practiced in the following problems; Includes tutorial-style, complete solutions, to all problems.
Numerical Methods For Scientists And Engineers
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Author : H.M. Antia
language : en
Publisher: Springer Science & Business Media
Release Date : 2002-05-01
Numerical Methods For Scientists And Engineers written by H.M. Antia and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-05-01 with Mathematics categories.
This book presents an exhaustive and in-depth exposition of the various numerical methods used in scientific and engineering computations. It emphasises the practical aspects of numerical computation and discusses various techniques in sufficient detail to enable their implementation in solving a wide range of problems.
Mathematical Methods For Physics And Engineering
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Author : Mr. Rohit Manglik
language : en
Publisher: EduGorilla Publication
Release Date : 2024-01-18
Mathematical Methods For Physics And Engineering written by Mr. Rohit Manglik and has been published by EduGorilla Publication this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-01-18 with Science categories.
EduGorilla Publication is a trusted name in the education sector, committed to empowering learners with high-quality study materials and resources. Specializing in competitive exams and academic support, EduGorilla provides comprehensive and well-structured content tailored to meet the needs of students across various streams and levels.
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Author :
language : en
Publisher: Arihant Publications India limited
Release Date :
written by and has been published by Arihant Publications India limited this book supported file pdf, txt, epub, kindle and other format this book has been release on with categories.
Set Theory An Intuitive Approach
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Author : Shwu Yeng T. Lin
language : en
Publisher:
Release Date : 1974
Set Theory An Intuitive Approach written by Shwu Yeng T. Lin and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Teoria de grupos categories.