Author: V. L. Zaguskin
Publisher: Elsevier
ISBN: 1483225674
Category : Mathematics
Languages : en
Pages : 216
Book Description
Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations provides information pertinent to algebraic and transcendental equations. This book indicates a well-grounded plan for the solution of an approximate equation. Organized into six chapters, this book begins with an overview of the solution of various equations. This text then outlines a non-traditional theory of the solution of approximate equations. Other chapters consider the approximate methods for the calculation of roots of algebraic equations. This book discusses as well the methods for making roots more accurate, which are essential in the practical application of Berstoi's method. The final chapter deals with the methods for the solution of simultaneous linear equations, which are divided into direct methods and methods of successive approximation. This book is a valuable resource for students, engineers, and research workers of institutes and industrial enterprises who are using mathematical methods in the solution of technical problems.
Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations
Author: V. L. Zaguskin
Publisher: Elsevier
ISBN: 1483225674
Category : Mathematics
Languages : en
Pages : 216
Book Description
Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations provides information pertinent to algebraic and transcendental equations. This book indicates a well-grounded plan for the solution of an approximate equation. Organized into six chapters, this book begins with an overview of the solution of various equations. This text then outlines a non-traditional theory of the solution of approximate equations. Other chapters consider the approximate methods for the calculation of roots of algebraic equations. This book discusses as well the methods for making roots more accurate, which are essential in the practical application of Berstoi's method. The final chapter deals with the methods for the solution of simultaneous linear equations, which are divided into direct methods and methods of successive approximation. This book is a valuable resource for students, engineers, and research workers of institutes and industrial enterprises who are using mathematical methods in the solution of technical problems.
Publisher: Elsevier
ISBN: 1483225674
Category : Mathematics
Languages : en
Pages : 216
Book Description
Handbook of Numerical Methods for the Solution of Algebraic and Transcendental Equations provides information pertinent to algebraic and transcendental equations. This book indicates a well-grounded plan for the solution of an approximate equation. Organized into six chapters, this book begins with an overview of the solution of various equations. This text then outlines a non-traditional theory of the solution of approximate equations. Other chapters consider the approximate methods for the calculation of roots of algebraic equations. This book discusses as well the methods for making roots more accurate, which are essential in the practical application of Berstoi's method. The final chapter deals with the methods for the solution of simultaneous linear equations, which are divided into direct methods and methods of successive approximation. This book is a valuable resource for students, engineers, and research workers of institutes and industrial enterprises who are using mathematical methods in the solution of technical problems.
Solving Transcendental Equations
Author: John P. Boyd
Publisher: SIAM
ISBN: 161197352X
Category : Mathematics
Languages : en
Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
Publisher: SIAM
ISBN: 161197352X
Category : Mathematics
Languages : en
Pages : 446
Book Description
Transcendental equations arise in every branch of science and engineering. While most of these equations are easy to solve, some are not, and that is where this book serves as the mathematical equivalent of a skydiver's reserve parachute--not always needed, but indispensible when it is. The author's goal is to teach the art of finding the root of a single algebraic equation or a pair of such equations.
KWIC Index for Numerical Algebra
Author: Alston Scott Householder
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 552
Book Description
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 552
Book Description
The Handbook on Engineering Mathematics III
Author: M. D. PETALE
Publisher: Lulu.com
ISBN: 1387960040
Category : Technology & Engineering
Languages : en
Pages : 134
Book Description
To quick revision of all topics for how to solve various problems of Engineering Mathematics - III according to chapters before going to a day of exam.This book contains definition, formulas, derivations, theorems and the steps of how to solved examples.
Publisher: Lulu.com
ISBN: 1387960040
Category : Technology & Engineering
Languages : en
Pages : 134
Book Description
To quick revision of all topics for how to solve various problems of Engineering Mathematics - III according to chapters before going to a day of exam.This book contains definition, formulas, derivations, theorems and the steps of how to solved examples.
Numerical Methods for Roots of Polynomials - Part II
Author: J.M. McNamee
Publisher: Elsevier Inc. Chapters
ISBN: 0128076984
Category : Mathematics
Languages : en
Pages : 89
Book Description
We discuss Graeffes’s method and variations. Graeffe iteratively computes a sequence of polynomialsso that the roots of are those of raised to the power . Then the roots of can be expressed in terms of the coefficients of . Special treatment is given to complex and/or multiple modulus roots. A method of Lehmer’s finds the argument as well as the modulus of the roots, while other authors show how to reduce the danger of overflow. Variants such as the Chebyshev-like process are discussed. The Graeffe iteration lends itself well to parallel processing, and two algorithms in that context are described. Error estimates are given, as well as several variants.
Publisher: Elsevier Inc. Chapters
ISBN: 0128076984
Category : Mathematics
Languages : en
Pages : 89
Book Description
We discuss Graeffes’s method and variations. Graeffe iteratively computes a sequence of polynomialsso that the roots of are those of raised to the power . Then the roots of can be expressed in terms of the coefficients of . Special treatment is given to complex and/or multiple modulus roots. A method of Lehmer’s finds the argument as well as the modulus of the roots, while other authors show how to reduce the danger of overflow. Variants such as the Chebyshev-like process are discussed. The Graeffe iteration lends itself well to parallel processing, and two algorithms in that context are described. Error estimates are given, as well as several variants.
Information Processing in Japan
Author:
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 494
Book Description
Publisher:
ISBN:
Category : Electronic data processing
Languages : en
Pages : 494
Book Description
Iterative Solution of Nonlinear Equations in Several Variables
Author: J. M. Ortega
Publisher: Elsevier
ISBN: 1483276724
Category : Mathematics
Languages : en
Pages : 593
Book Description
Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.
Publisher: Elsevier
ISBN: 1483276724
Category : Mathematics
Languages : en
Pages : 593
Book Description
Computer Science and Applied Mathematics: Iterative Solution of Nonlinear Equations in Several Variables presents a survey of the basic theoretical results about nonlinear equations in n dimensions and analysis of the major iterative methods for their numerical solution. This book discusses the gradient mappings and minimization, contractions and the continuation property, and degree of a mapping. The general iterative and minimization methods, rates of convergence, and one-step stationary and multistep methods are also elaborated. This text likewise covers the contractions and nonlinear majorants, convergence under partial ordering, and convergence of minimization methods. This publication is a good reference for specialists and readers with an extensive functional analysis background.
Handbook of Ordinary Differential Equations
Author: Andrei D. Polyanin
Publisher: CRC Press
ISBN: 1466569409
Category : Mathematics
Languages : en
Pages : 1487
Book Description
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
Publisher: CRC Press
ISBN: 1466569409
Category : Mathematics
Languages : en
Pages : 1487
Book Description
The Handbook of Ordinary Differential Equations: Exact Solutions, Methods, and Problems, is an exceptional and complete reference for scientists and engineers as it contains over 7,000 ordinary differential equations with solutions. This book contains more equations and methods used in the field than any other book currently available. Included in the handbook are exact, asymptotic, approximate analytical, numerical symbolic and qualitative methods that are used for solving and analyzing linear and nonlinear equations. The authors also present formulas for effective construction of solutions and many different equations arising in various applications like heat transfer, elasticity, hydrodynamics and more. This extensive handbook is the perfect resource for engineers and scientists searching for an exhaustive reservoir of information on ordinary differential equations.
Engineering Mathematics: A Formula Handbook
Author: N.B. Singh
Publisher: N.B. Singh
ISBN:
Category : Mathematics
Languages : en
Pages : 158
Book Description
"Engineering Mathematics: A Formula Handbook" serves as an invaluable tool for engineers, students, and professionals alike, offering a concise compilation of essential mathematical formulas and concepts relevant to engineering disciplines. Covering a wide array of topics including calculus, linear algebra, differential equations, and complex analysis, this handbook provides quick access to key formulas needed for solving engineering problems. With clear explanations and organized sections, this book is a must-have reference for anyone seeking to apply mathematical principles in engineering practice and academia.
Publisher: N.B. Singh
ISBN:
Category : Mathematics
Languages : en
Pages : 158
Book Description
"Engineering Mathematics: A Formula Handbook" serves as an invaluable tool for engineers, students, and professionals alike, offering a concise compilation of essential mathematical formulas and concepts relevant to engineering disciplines. Covering a wide array of topics including calculus, linear algebra, differential equations, and complex analysis, this handbook provides quick access to key formulas needed for solving engineering problems. With clear explanations and organized sections, this book is a must-have reference for anyone seeking to apply mathematical principles in engineering practice and academia.
Numerical Integration
Author: Patrick Keast
Publisher: Springer Science & Business Media
ISBN: 9400938896
Category : Computers
Languages : en
Pages : 389
Book Description
This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at Dalhousie University, Halifax, Canada, August 11-15, 1986. The Workshop was attended by thirty-six scientists from eleven NATO countries. Thirteen invited lectures and twenty-two contributed lectures were presented, of which twenty-five appear in full in this volume, together with extended abstracts of the remaining ten. It is more than ten years since the last workshop of this nature was held, in Los Alamos in 1975. Many developments have occurred in quadrature in the intervening years, and it seemed an opportune time to bring together again researchers in this area. The development of QUADPACK by Piessens, de Doncker, Uberhuber and Kahaner has changed the focus of research in the area of one dimensional quadrature from the construction of new rules to an emphasis on reliable robust software. There has been a dramatic growth in interest in the testing and evaluation of software, stimulated by the work of Lyness and Kaganove, Einarsson, and Piessens. The earlier research of Patterson into Kronrod extensions of Gauss rules, followed by the work of Monegato, and Piessens and Branders, has greatly increased interest in Gauss-based formulas for one-dimensional integration.
Publisher: Springer Science & Business Media
ISBN: 9400938896
Category : Computers
Languages : en
Pages : 389
Book Description
This volume contains refereed papers and extended abstracts of papers presented at the NATO Advanced Research Workshop entitled 'Numerical Integration: Recent Developments, Software and Applications', held at Dalhousie University, Halifax, Canada, August 11-15, 1986. The Workshop was attended by thirty-six scientists from eleven NATO countries. Thirteen invited lectures and twenty-two contributed lectures were presented, of which twenty-five appear in full in this volume, together with extended abstracts of the remaining ten. It is more than ten years since the last workshop of this nature was held, in Los Alamos in 1975. Many developments have occurred in quadrature in the intervening years, and it seemed an opportune time to bring together again researchers in this area. The development of QUADPACK by Piessens, de Doncker, Uberhuber and Kahaner has changed the focus of research in the area of one dimensional quadrature from the construction of new rules to an emphasis on reliable robust software. There has been a dramatic growth in interest in the testing and evaluation of software, stimulated by the work of Lyness and Kaganove, Einarsson, and Piessens. The earlier research of Patterson into Kronrod extensions of Gauss rules, followed by the work of Monegato, and Piessens and Branders, has greatly increased interest in Gauss-based formulas for one-dimensional integration.