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Author: Tian-Xiao He Publisher: CRC Press ISBN: 1000534332 Category : Mathematics Languages : en Pages : 458
Book Description
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: Tian-Xiao He Publisher: CRC Press ISBN: 1000534332 Category : Mathematics Languages : en Pages : 458
Book Description
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: L.B. W. Jolley Publisher: Courier Corporation ISBN: 048615338X Category : Mathematics Languages : en Pages : 274
Book Description
More than 1,200 common series appear here. Collected, summed, and grouped for easy reference, they constitute an immensely useful handbook for mathematicians, physicists, computer technicians, engineers, and students.
Author: Bernard Candelpergher Publisher: Springer ISBN: 3319636308 Category : Mathematics Languages : en Pages : 211
Book Description
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.
Author: Tian-Xiao He Publisher: CRC Press ISBN: 1000534375 Category : Mathematics Languages : en Pages : 301
Book Description
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: Anthony Sofo Publisher: Springer Science & Business Media ISBN: 1461500575 Category : Mathematics Languages : en Pages : 194
Book Description
"This book collects in one volume the author’s considerable results in the area of the summation of series and their representation in closed form, and details the techniques by which they have been obtained... the calculations are given in plenty of detail, and closely related work which has appeared in a variety of places is conveniently collected together." --The Australian Mathematical Society Gazette
Author: Edwin Herman Publisher: ISBN: 9781947172838 Category : Calculus Languages : en Pages : 0
Book Description
Calculus is designed for the typical two- or three-semester general calculus course, incorporating innovative features to enhance student learning. The book guides students through the core concepts of calculus and helps them understand how those concepts apply to their lives and the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Volume 3 covers parametric equations and polar coordinates, vectors, functions of several variables, multiple integration, and second-order differential equations.
Author: Mark Zegarelli Publisher: John Wiley & Sons ISBN: 0470388587 Category : Mathematics Languages : en Pages : 386
Book Description
An easy-to-understand primer on advanced calculus topics Calculus II is a prerequisite for many popular college majors, including pre-med, engineering, and physics. Calculus II For Dummies offers expert instruction, advice, and tips to help second semester calculus students get a handle on the subject and ace their exams. It covers intermediate calculus topics in plain English, featuring in-depth coverage of integration, including substitution, integration techniques and when to use them, approximate integration, and improper integrals. This hands-on guide also covers sequences and series, with introductions to multivariable calculus, differential equations, and numerical analysis. Best of all, it includes practical exercises designed to simplify and enhance understanding of this complex subject.
Author: Gregory Hartman Publisher: ISBN: 9781514225158 Category : Calculus Languages : en Pages : 0
Book Description
APEX Calculus is a calculus textbook written for traditional college/university calculus courses. It has the look and feel of the calculus book you likely use right now (Stewart, Thomas & Finney, etc.). The explanations of new concepts is clear, written for someone who does not yet know calculus. Each section ends with an exercise set with ample problems to practice & test skills (odd answers are in the back).
Author: David Farland Publisher: Tor Fantasy ISBN: 1429911964 Category : Fiction Languages : en Pages : 625
Book Description
The first book of the saga of The Runelords Young Prince Gaborn Val Orden of Mystarria is traveling in disguise on a journey to ask for the hand of the lovely Princess Iome of Sylvarresta. Armed with his gifts of strength and perception, Prince Gaborn and his warrior bodyguard stop in a local tavern along the way. Immediately, they spot a pair of assassins who have their sights set on Princess Iome's father. As the prince and his bodyguard race to warn the king of this impending danger, they realize that more than the royal family is at risk, the very fate of the Earth is in jeopardy. At the Publisher's request, this title is being sold without Digital Rights Management Software (DRM) applied.
Author: Tian-Xiao He
Author: Tian-Xiao He
Author: L.B. W. Jolley
Author: Harold Thayer Davis
Author: Bernard Candelpergher
Author: Tian-Xiao He
Author: Anthony Sofo
Author: Edwin Herman
Author: Mark Zegarelli
Author: Gregory Hartman
Author: David Farland