A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations to Any Degree of Accuracy (Classic Reprint)
A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations to Any Degree of Accuracy (Classic Reprint)

Author: J. W. Nicholson

Publisher: Forgotten Books

Published: 2017-12-22

Total Pages: 28

ISBN-13: 9780484482479

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Excerpt from A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations to Any Degree of Accuracy Several years since I was extracting the square and cube roots of numbers by the principles of inequalities (see Nicholson's Elementary Algebra, pp. 212 and the idea occurred to me that the same principles might be advantageously applied to the solution of numerical equations. That idea, though vague in its inception, is the germ of the present production. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.

A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations
A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations

Author: Nicholson J W (James William)

Publisher: Legare Street Press

Published: 2022-10-27

Total Pages: 0

ISBN-13: 9781018956831

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work is in the "public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations
A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations

Author: Nicholson J W (James William)

Publisher: Palala Press

Published: 2016-05-16

Total Pages: 22

ISBN-13: 9781356612130

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work.This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations - Scholar's Choice Edition
A Direct and General Method of Finding the Approximate Values of the Real Roots of Numerical Equations - Scholar's Choice Edition

Author: Nicholson J W (James William)

Publisher:

Published: 2015-02-18

Total Pages: 22

ISBN-13: 9781298208170

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This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work.As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Numerical Recipes in C++
Numerical Recipes in C++

Author: William H. Press

Publisher:

Published: 2002

Total Pages: 0

ISBN-13: 9788175960961

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Now the acclaimed Second Edition of Numerical Recipes is available in the C++ object-oriented programming language. Including and updating the full mathematical and explanatory contents of Numerical Recipes in C, this new version incorporates completely new C++ versions of the more than 300 Numerical Recipes routines that are widely recognized as the most accessible and practical basis for scientific computing. The product of a unique collaboration among four leading scientists in academic research and industry, Numerical Recipes is a complete text and reference book on scientific computing. In a self-contained manner it proceeds from mathematical and theoretical considerations to actual practical computer routines. Highlights include linear algebra, interpolation, special functions, random numbers, nonlinear sets of equations, optimization, eigensystems, Fourier methods and wavelets, statistical tests, ODEs and PDEs, integral equations and inverse theory. The authors approach to C++ preserves the efficient execution that C users expect, while simultaneously employing a clear, object-oriented interface to the routines. Tricks and tips for scientific computing in C++ are liberally included. The routines, in ANSI/ISO C++ source code, can thus be used with almost any existing C++ vector/matrix class library, according to user preference. A simple class library for stand-alone use is also included in the book. Both scientific programmers new to C++, and experienced C++ programmers who need access to the Numerical Recipes routines, can benefit from this important new version of an invaluable, classic text.

Numerical Methods for Large Eigenvalue Problems
Numerical Methods for Large Eigenvalue Problems

Author: Yousef Saad

Publisher: SIAM

Published: 2011-01-01

Total Pages: 292

ISBN-13: 9781611970739

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This revised edition discusses numerical methods for computing eigenvalues and eigenvectors of large sparse matrices. It provides an in-depth view of the numerical methods that are applicable for solving matrix eigenvalue problems that arise in various engineering and scientific applications. Each chapter was updated by shortening or deleting outdated topics, adding topics of more recent interest, and adapting the Notes and References section. Significant changes have been made to Chapters 6 through 8, which describe algorithms and their implementations and now include topics such as the implicit restart techniques, the Jacobi-Davidson method, and automatic multilevel substructuring.

The Universal Solution, for Numerical and Literal Equations by Which the Roots of Equations of All Degrees Can Be Expressed in Terms of Their Coefficients (Classic Reprint)
The Universal Solution, for Numerical and Literal Equations by Which the Roots of Equations of All Degrees Can Be Expressed in Terms of Their Coefficients (Classic Reprint)

Author: M. A. McGinnis

Publisher: Forgotten Books

Published: 2018-01-29

Total Pages: 212

ISBN-13: 9780267141210

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Excerpt from The Universal Solution, for Numerical and Literal Equations by Which the Roots of Equations of All Degrees Can Be Expressed in Terms of Their Coefficients Theorem 2 is the combined results of Theorems 1 and D, and its universal application in the solution of equations of all degrees is fully illustrated by numerous examples. Theorems 3, 4, and 5 are taken up in their order, and their applications fully illustrated in the solution of equa tions of their class. The application of the several theorems in determining the location, character (real or imaginary), and signs of the roots of an equation is fully illustrated; and the method is such that it will convince any impartial student that it is a. Great step beyond the Sturm Theorem; and that in the solution of equations of all degrees it greatly excels, in brevity, that of any known method. Cubic equations are thoroughly treated, and all kinds and classes of such equations are given and solved by the new method. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works.