Download or read book The Solution of Equations Classic Reprint written by Mansfield Merriman and published by Forgotten Books. This book was released on 2018-02-08 with total page 78 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Solution of Equations The following pages are designed as supplementary to the discussions Of equations in college text - books, and several methods of solution not commonly given in such works are presented and exemplified. The aim kept in View has been that Of the determination of the numerical values of the roots of numerical equations, and algebraic analysis has been used only to further this end. Historical references are given, problems stated as exercises for the student, and the attempt has everywhere been made to present the subject clearly and concisely. The volume has not been written for those thoroughly conversant with the theory of equations, but rather for students of mathematics, computers, and engineers. This edition has been enlarged by the addition of five articles which render the former treatment more complete and also give recent investigations regarding the expression Of roots in series. While not designed for college classes, it is hoped that the book may prove useful to postgraduate students in mathematics, physics and engineering, and also tend to promote general interest in mathematical science. 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.

Download or read book Differential Equations Classic Reprint written by H. B. Phillips and published by Forgotten Books. This book was released on 2017-09-12 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Differential Equations With the formal exercise in solving the types of ordinary differential equations that usually occur it is the object of this text to combine a thorough drill in the solution of prob lems in which the student sets up and integrates his own differential equation. For this purpose certain topics in mechanics and physics needed in groups of problems are briefly presented in the text. 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.

Download or read book The Method of Lines Solution of Partial Differential Equations Classic Reprint written by James M. Hyman and published by Forgotten Books. This book was released on 2018-02-03 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Method of Lines Solution of Partial Differential Equations In this paper we give an analysis of effective strategies for the so-called method of lines solution of the initial boundary value problem for partial differential equations of the form where u.= g(x, t, u, u, u, f ) t- Xxx Xf = fx, t, u, u, u) We also describe a user oriented Fortran subroutine package called MOLlD for the numerical solution of equations of this type using the method of lines. 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.

Download or read book A New Simple and General Method of Solving Numerical Equations of All Orders Classic Reprint written by Thomas Weddle and published by Forgotten Books. This book was released on 2018-03-26 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A New, Simple, and General Method of Solving Numerical Equations of All Orders In order to prove this it will obviously be sufficient to show that the root of the transformed equation Fm 1 (mm 1) 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.

Download or read book Principles of the Solution of Equations of the Higher Degrees with Applications Classic Reprint written by George Paxton Young and published by Forgotten Books. This book was released on 2017-11-05 with total page 56 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Principles of the Solution of Equations of the Higher Degrees, With Applications Therefore also, by Cor. Prop. II., all the terms in (15) are roots of that equation. And, by Cor. L, the terms in (15) are all unequal. 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.

Download or read book Solutions of the Examples in a Treatise on Differential Equations Classic Reprint written by Andrew Russell Forsyth and published by Forgotten Books. This book was released on 2016-06-26 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Solutions of the Examples in a Treatise on Differential Equations For any Of these values Of 19, leading to values of h and the differential equation in y' and 22' has the form of the equation in the preceding example, for n m: 1. 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.

Download or read book Examples of Differential Equations written by George Abbott Osborne and published by Forgotten Books. This book was released on 2017-11-23 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Examples of Differential Equations: With Rules for Their Solution Many of the examples have been collected from standard treatises, but a considerable number have been prepared by the author to illustrate Special difficulties, or to pro vide exercises corresponding more nearly with the abilities of average students. With few exceptions they have all been tested by use in the class-room. 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.

Download or read book On Systems of Linear Ordinary Differential Equations Classic Reprint written by Herbert B. Keller and published by Forgotten Books. This book was released on 2018-05-04 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On Systems of Linear Ordinary Differential Equations The nearest approach to such a treatment is contained in the wkb method which yields an approximate solution of a linear second order equation as a sum of exponentials with variable coefficients and exponents. In some presentations of the method higher order approximations are also obtained, but it is generally not clear whether the successive approximations converge to a solution of the equation or not. For a large class of cond order equations involving a parameter in a particular way, Birkhoff and L ave settled this matter by showing that the web approximation is the leading term in an asymptotic expansion of the solution with respect to the parameter. 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.

Download or read book Examples Differential Equations Rules for Their Solution Classic Reprint written by George A. Osborne and published by Forgotten Books. This book was released on 2018-02-08 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Examples Differential Equations Rules for Their Solution Many of the examples have been collected from standard treatises, but a considerable number have been prepared by the author to illustrate special difficulties, or to pro vide exercises corresponding more nearly with the abilities of average students. With few exceptions they have all been tested by use in the class-room. 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.

Download or read book Examples of the Solutions of Functional Equations Classic Reprint written by Charles Babbage and published by . This book was released on 2016-06-26 with total page 52 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Examples of the Solutions of Functional Equations Pro B. 2. Required periodic functions of the third order, or such as fulfil the equation xp x x. 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.

Download or read book 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 written by M. A. McGinnis and published by Forgotten Books. This book was released on 2018-01-29 with total page 212 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Download or read book The Algebraic Solution of Equations of Any Degree written by Louis Alexander Buchanan and published by Forgotten Books. This book was released on 2016-06-26 with total page 70 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Algebraic Solution of Equations of Any Degree: A Novel, Simple and Direct Method for the Solution of Equations of the Nth Degree We believe the method to be direct, simple and strictly in accordance with the common sense dictates of the given equation, to be solved; to illustrate, if bane/=6 and the value of x be required; we divide c by the coefficient of x and extract the root of the unknown quantity and so on throughout for any given power or number of terms when the exponents are integers or can be readily transformed to integral powers. The first chapter is devoted to a comprehensive review on the binomial formula upon which the solution of the method herein given is solely based, and the processes of involution and evolution. These topics have been dealt with thor oughly so far as it has been thought necessary and helpful to explain this method. In the chapter on equations, We have added some of the the theory of equations, such as Descartes Rule, and the theory showing the relation between the coefficient off (35) 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.

Download or read book The Solution of a System of Linear Differential Equations with a Regular Singular Point written by Frank David Faulkner and published by Forgotten Books. This book was released on 2017-10-28 with total page 22 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Solution of a System of Linear Differential Equations With a Regular Singular Point: A Thesis The present paper deals with the problem of finding fundamental sets or solutions for ayatm of linear differ ential equations which have a regular singular point. A Mammal set 13 a set of solutions such that; every soma tion or the system can be expreaaed as a linear ombimtion of the elements or that: sets. Any 381: of a linearly indepen dent solutions forms a fundamental not. A singular point; is called regular if the Laurent expansion of the solutions about that point contaim a finite number of terms with negative exponents. The problem was first: 801m by Hem about 1891. Tho first direct treatment was given by J. A. War in 1929. The methods employed in this paper are essentially those used by Nyawandor. For the sake of simplicity the umber of 69pm dent: variables, and hence the number of equations, is limited to two. 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.

Download or read book Ordinary Differential Equations written by George F. Carrier and published by SIAM. This book was released on 1968-01-01 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt: Teaches techniques for constructing solutions of differential equations in a novel way, often giving readers opportunity for ingenuity.

Download or read book Almost Periodic Solutions to Difference Equations Classic Reprint written by Alvin Bayliss and published by . This book was released on 2015-08-04 with total page 132 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Almost Periodic Solutions to Difference Equations Almost Periodic Solutions to Difference Equations was written by Alvin Bayliss in 1975. This is a 130 page book, containing 23069 words. Search Inside is enabled for this title. 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.

Download or read book A Solution of the Equations of Statistical Mechanics Classic Reprint written by Robert M. Lewis and published by Forgotten Books. This book was released on 2017-11-19 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Solution of the Equations of Statistical Mechanics In an attempt to circumvent these difficulties, one introduces 's-particle density functions', fs, defined by appropriate integrals of Dn' n.n. Bogoliubov has shown [1] that for these functions, the Liouville equation can be replaced by a functional differential equation for a generating functional lib] which generates the functions Fs, and has obtained an expansion of the solution of the equation to first order in the density. 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.

Download or read book The Discriminant of Hill s Equation Classic Reprint written by David L. Jagerman and published by Forgotten Books. This book was released on 2017-10-27 with total page 98 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Discriminant of Hill's Equation The transformed equation is then solved by rewriting it as an integral equation and employing the process of successive approximations. The solutions thus obtained are asymptotic in w. An explicit asymptotic development of the dis criminant is given with an error term of O(lml' 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.