A Graphic Method for Solving Certain Algebraic Problems (Classic Reprint) PDF Download
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Author: George Leonard Vose
Publisher: Forgotten Books
ISBN: 9780331793246
Category : Technology & Engineering
Languages : en
Pages : 86
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Book Description
Excerpt from A Graphic Method for Solving Certain Algebraic Problems The Cross Section Paper, employed by engineers, will be found well adapted. For the working of problems by the graphic method, as It is ruled in squares of greater or less size. 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.
Author: George Leonard Vose
Publisher: Forgotten Books
ISBN: 9780331793246
Category : Technology & Engineering
Languages : en
Pages : 86
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Book Description
Excerpt from A Graphic Method for Solving Certain Algebraic Problems The Cross Section Paper, employed by engineers, will be found well adapted. For the working of problems by the graphic method, as It is ruled in squares of greater or less size. 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.
Author: George L. Vose
Publisher: Palala Press
ISBN: 9781356583126
Category :
Languages : en
Pages : 64
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Book Description
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.
Author: George Leonard Vose
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 62
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Book Description
Author: Arthur Schultze
Publisher: Forgotten Books
ISBN: 9780267629831
Category : Mathematics
Languages : en
Pages : 108
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Book Description
Excerpt from Graphic Algebra IT is now generally conceded that graphic methods are not only of great importance for practical work and scientific investigation, but also that their educational value for sec ondary instruction is very considerable. Consequently, an increasing number of schools have introduced graphic algebra into their courses, and several elementary text-books on graphs have been published. This book gives an elementary presentation of all the funda mental principles included in such courses, and contains in addition a number of methods which are shorter and require less numerical work than those usually given. Thus, for the solution of a cubic or biquadratic by the customary method a great deal of calculation is necessary to determine the co ordinates of a number of points. To avoid these calculations and to make the work truly graphic, the author has devised a series of methods for solving quadratics, cubics, and biquad ratios by means of a standard curve and straight lines or circles. Two of these methods - the solution of quadratics by a parabola 30) and of incomplete cubics by a cubic parabola 49) - are but slight modifications of methods previously known; the others are original with the author, who first pub lished them in a paper read before the American Mathematical Society in April, 1905. 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.
Author: H. B. Newson
Publisher: Forgotten Books
ISBN: 9780666941572
Category : Mathematics
Languages : en
Pages : 30
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Book Description
Excerpt from Graphic Algebra for Secondary Schools This pamphlet is intended to meet the growing demand in this country for graphical methods and illustrations in connection with elementary Algebra in the secondary schools. A recent committee of the American Mathematical Society, in formulating standard college entrance require ments in Algebra, uses this language: The use of graph ical methods and illustrations, particularly in connection with the solution of equations, is also expected. This little book is the author's interpretation of the committee's recommendation both as to kind and amount of such graphical work. It may be used to supplement any text-book in Algebra. In plotting the graphs of equations the pupil should use squared paper similar to the sample sheet in the back of the pamphlet. 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.
Author: Leonard Eugene Dickson
Publisher: Forgotten Books
ISBN: 9781332804023
Category : Mathematics
Languages : en
Pages : 200
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Book Description
Excerpt from Elementary Theory of Equations The longer an engineer has been separated from his alma mater, the fewer mathematical formulas he uses and the more he relies upon tables and, when the latter fail, upon graphical methods. Although graphical methods have the advantage of being ocular, they frequently suffer from the fact that only what is seen is sensed. But this defect is due to the kind of graphics used. With the aid of the scientific art of graphing pre sented in Chapter I, one may not merely make better graphs in less time but actually draw correct negative conclusions from a graph so made, and therefore sense more than one sees. For instance, one may be sure that a given cubic equation has only the one real root seen in the graph, if the bend points lie on the same side of the x-axis. Emphasis is here placed upon Newton's method of solving numerical equations, both from the graphical and the numerical standpoint. One of several advantages (well recognized in Europe) of Newton's method over Homer's is that it applies as well to non-algebraic as to algebraic equations. In this elementary book, the author has of course omitted the difficult Galois theory of algebraic equations (certain texts on which are very erroneous) and has merely illustrated the subject of invariants by a few examples. It is surprising that the theorems of Descartes, Budan, and Sturm, on the real roots of an equation, are Often stated inaccurately. Nor are the texts in English on this subject more fortunate on the score of correct proofs; for these reasons, care has been taken in selecting the books to which the reader is referred in the present text. The material is here so arranged that, before an important general theorem is stated, the reader has had concrete illustrations and often also special cases. The exercises are so placed that a reasonably elegant and brief solution may be expected, without resort to tedious multiplications and similar manual labor. Very few Of the five hundred exercises are of the same nature. 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.
Author: Mansfield Merriman
Publisher: Forgotten Books
ISBN: 9781333493226
Category : Mathematics
Languages : en
Pages : 80
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Book Description
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.
Author: Fletcher Durell
Publisher: Forgotten Books
ISBN: 9780484709262
Category : Mathematics
Languages : en
Pages : 338
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Book Description
Excerpt from A First Book in Algebra I. A simplification of subject matter. Among the omissions are the involved use of the parenthesis, the larger part of factor ing, complex fractions, special devices in the solution of equa tions, the method of comparison in solving simultaneous equa tions, the square root of complicated expressions, all treatment of fractional, negative, and literal exponents, and most of radicals. II. Increased and systematic use of the graph. The omissions just specified make possible, among other things, an enlarged and systematized use of the graph. At the outset, the scales to be used on the axes and also partial diagrams for graphs are supplied. The other various stages by which the pupil pro ceeds from the simple to the more complex cases have been carefully developed. The pupil thus acquires an organized and comprehensive grasp and a power both to construct and to interpret graphs, giving a disciplinary training equal and per haps superior to that conferred by the more technical algebraic topics omitted, and far exceeding them in vocational and cultural values. 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.
Author: Philip Beecroft
Publisher: Forgotten Books
ISBN: 9780483779297
Category : Mathematics
Languages : en
Pages : 62
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Book Description
Excerpt from Beecroft's General Method of Finding All the Roots, Both Real and Imaginary, of Algebraical Equations, Without the Aid of Auxiliary Equations of Higher Degrees Professor Young, after remarking, in page 469 of his work on the higher equations, that no such solution has yet been devised, adds, that It has indeed been the object of analysts of late to demonstrate the utter impossibilitykof such a solution by any combination of algebraic symbols; on which subject the student is referred to the profound paper of Sir William Hamilton in the Transactions of the Royal Irish Academy, Vol. XVI. The method, however, which I have added, solves completely the general equations of the fifth degree, without using any auxiliary equation of a higher order, and that by a process equally as definite as the general method of solving a cubic equation complete in all its terms, though of course more laborious, the expressions for p, g, &c., in the solution, being merely assumed for greater convenience in forming the cubic by help of which four of the roots are determined, after first determining one real root, as in Dr. Rutherford's method of solving an equation of the fifth degree deprived of its second term by help of an auxiliary equation of the tenth order. Ruth. Eq., pages 20, 21. This method of solving equations of the fifth order is not likely, however. 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.
Author: Loren C. Larson
Publisher: Springer Science & Business Media
ISBN: 1461254981
Category : Mathematics
Languages : en
Pages : 322
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Book Description
This is a practical anthology of some of the best elementary problems in different branches of mathematics. Arranged by subject, the problems highlight the most common problem-solving techniques encountered in undergraduate mathematics. This book teaches the important principles and broad strategies for coping with the experience of solving problems. It has been found very helpful for students preparing for the Putnam exam.
