The Principles Of Mathematics Vol 1 Classic Reprint

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The Principles of Mathematics, Vol. 1 (Classic Reprint)

Author : Bertrand Russell
Publisher : Forgotten Books
ISBN 13 : 9781527953000
Total Pages : 572 pages
Book Rating : 4.9/5 (53 download)

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Book Synopsis The Principles of Mathematics, Vol. 1 (Classic Reprint) by : Bertrand Russell

Download or read book The Principles of Mathematics, Vol. 1 (Classic Reprint) written by Bertrand Russell and published by Forgotten Books. This book was released on 2017-09-13 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Principles of Mathematics: Vol. 1 is a terrific introduction to the fundamental concepts of mathematics. Although the book's title involves mathematics, it is not a textbook packed with equations and theorems. Instead philosopher Bertrand Russell uses mathematics to explore the structure of logic. Russell's ultimate point is that mathematics is logic and logic itself is truth. The book is substantial and covers all subjects of mathematics. It is divided into seven sections: indefinables in mathematics, number, quantity, order, infinity and continuity, space, matter and motion. Russell covers all the major developments of mathematics and the contributions of important figures to the field. His sharp mind is evident throughout The Principles of Mathematics, as he challenges established rules and teachers readers how to think through difficult problems using logic. Russell was one of the great minds of the 20th Century. In this book he discusses how his ideas were influenced by the logician Peano. He also debates other philosophers and mathematicians, and even anticipates the Theory of Relativity, which had not yet been published by Einstein. One does not need to love mathematics to gain insights from The Principles of Mathematics: Vol. 1. Those who are interested in logic, intellectualism, philosophy or history will find significant insights into logical principles. Readers who desire an intellectual challenge will truly enjoy The Principles of Mathematics: Vol. 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.

Principles of Geometry, Vol. 1 (Classic Reprint)

Author : H. F. Baker
Publisher : Forgotten Books
ISBN 13 : 9780265276877
Total Pages : 208 pages
Book Rating : 4.2/5 (768 download)

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Book Synopsis Principles of Geometry, Vol. 1 (Classic Reprint) by : H. F. Baker

Download or read book Principles of Geometry, Vol. 1 (Classic Reprint) written by H. F. Baker and published by Forgotten Books. This book was released on 2017-10-13 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Principles of Geometry, Vol. 1 Erratum. In Ex. 9, p. 175, instead of by taking three positions of P upon p, read in general, by taking three positions of P upon the real line p through the intersection of the two given lines, so chosen that the corresponding points U, V, W are in line. 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.

The Principles of Mathematics

Author : Bertrand Russell
Publisher : Forgotten Books
ISBN 13 : 9781330871430
Total Pages : 566 pages
Book Rating : 4.8/5 (714 download)

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Book Synopsis The Principles of Mathematics by : Bertrand Russell

Download or read book The Principles of Mathematics written by Bertrand Russell and published by Forgotten Books. This book was released on 2015-06-25 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Principles of Mathematics: Vol. 1 is a terrific introduction to the fundamental concepts of mathematics. Although the book's title involves mathematics, it is not a textbook packed with equations and theorems. Instead philosopher Bertrand Russell uses mathematics to explore the structure of logic. Russell's ultimate point is that mathematics is logic and logic itself is truth. The book is substantial and covers all subjects of mathematics. It is divided into seven sections: indefinables in mathematics, number, quantity, order, infinity and continuity, space, matter and motion. Russell covers all the major developments of mathematics and the contributions of important figures to the field. His sharp mind is evident throughout The Principles of Mathematics, as he challenges established rules and teachers readers how to think through difficult problems using logic. Russell was one of the great minds of the 20th Century. In this book he discusses how his ideas were influenced by the logician Peano. He also debates other philosophers and mathematicians, and even anticipates the Theory of Relativity, which had not yet been published by Einstein. One does not need to love mathematics to gain insights from The Principles of Mathematics: Vol. 1. Those who are interested in logic, intellectualism, philosophy or history will find significant insights into logical principles. Readers who desire an intellectual challenge will truly enjoy The Principles of Mathematics: Vol. 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.

The Natural Arithmetic, Vol. 1

Author : Isaac O. Winslow
Publisher : Forgotten Books
ISBN 13 : 9780260300737
Total Pages : 260 pages
Book Rating : 4.3/5 (7 download)

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Book Synopsis The Natural Arithmetic, Vol. 1 by : Isaac O. Winslow

Download or read book The Natural Arithmetic, Vol. 1 written by Isaac O. Winslow and published by Forgotten Books. This book was released on 2017-11-04 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from The Natural Arithmetic, Vol. 1: Book 1 In the belief that it is better to keep mathematical work a little behind the child's mental grasp than to advance it beyond that limit, the work designed for the different grades has been made somewhat easier than that usually found in text-books. The pupil is kept busy with a varied application of the principles that he has already mastered instead of being too rapidly crowded forward into greater difficulties. 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.

The Principles of Mathematics, Volume 1 - Primary Source Edition

Author : Bertrand Russell
Publisher : Nabu Press
ISBN 13 : 9781295603855
Total Pages : 574 pages
Book Rating : 4.6/5 (38 download)

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Book Synopsis The Principles of Mathematics, Volume 1 - Primary Source Edition by : Bertrand Russell

Download or read book The Principles of Mathematics, Volume 1 - Primary Source Edition written by Bertrand Russell and published by Nabu Press. This book was released on 2014-02 with total page 574 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a reproduction of a book published before 1923. This book may have occasional imperfections such as missing or blurred pages, poor pictures, errant marks, etc. that were either part of the original artifact, or were introduced by the scanning process. We believe this work is culturally important, and despite the imperfections, have elected to bring it back into print as part of our continuing commitment to the preservation of printed works worldwide. We appreciate your understanding of the imperfections in the preservation process, and hope you enjoy this valuable book.

A Treatise on Algebra, Vol. 1 (Classic Reprint)

Author : George Peacock
Publisher : Forgotten Books
ISBN 13 : 9781527725812
Total Pages : 424 pages
Book Rating : 4.7/5 (258 download)

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Book Synopsis A Treatise on Algebra, Vol. 1 (Classic Reprint) by : George Peacock

Download or read book A Treatise on Algebra, Vol. 1 (Classic Reprint) written by George Peacock and published by Forgotten Books. This book was released on 2017-09-15 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Treatise on Algebra, Vol. 1 I have separated arithmetical from symbolical algebra, and I have devoted the present volume entirely to the exposition of the principles of the former science and their application to the theory of numbers and of arithmetical processes: the second volume, which is now in the press, will embrace the principles of symbolical algebra: it will be followed, if other and higher duties should allow me the leisure to complete them, by other works, embracing all the more important departments of analysis, with the view of presenting their principles in such a form, as may make them component parts of one uniform and connected system. 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.

On the General Principles Analysis, Vol. 1

Author : J. R. Young
Publisher : Forgotten Books
ISBN 13 : 9780267633753
Total Pages : 72 pages
Book Rating : 4.6/5 (337 download)

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Book Synopsis On the General Principles Analysis, Vol. 1 by : J. R. Young

Download or read book On the General Principles Analysis, Vol. 1 written by J. R. Young and published by Forgotten Books. This book was released on 2018-02-03 with total page 72 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from On the General Principles Analysis, Vol. 1: Being a Series of Original Investigations in Different Departments of Pure Mathematics It seems to me to be a libel upon mathematical science to pronounce any of its departments to be inherently too difficult and recondite for the comprehension of a mind thus trained and prepared. Analysis is too frequently and too unjustly branded with this stigma, when the reproach more properly belongs to those who are the exponents of its doctrines. If superior clear ness and perspicuity can reasonably be looked for in any subject, surely that subject is mathematics: and yet no department of scientific research can be adduced which is enveloped in so much unnatural and repulsive Obscurity as the science of abstract analysis. Still, however, I must acknowledge, that this fault is not always without its advantages what is of easy attainment is Often undervalued; and, in the minds of some, the only way to enhance the estimate is to increase the difficulty of access. It was, no doubt, a conviction of this truth, that inﬂuenced Mr. Horner to invest his important discovery of the general solution of numerical equations, in the dress in which it appears in the 'transactions of the Royal Society.' With admirable tact and sagacity, he shrouded a very simple matter in a garb of transcen dental mystery; but, as soon as his primary Object was secured, the object, namely, of the early publication of his results, under the auspices of a learned body, he proceeded to strip the subject of its unnatural disguise, and to exhibit it in all its native simplicity. From these introductory remarks, it will be perceived, that my object will be to convey the contents Of this volume to the reader with as little expenditure of thought and labour, on his part, as he can reasonably expect to incur in the perusal. 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.

Medici's Rational Mathematics, Vol. 1

Author : Charles De Medici
Publisher : Forgotten Books
ISBN 13 : 9781333016135
Total Pages : 198 pages
Book Rating : 4.0/5 (161 download)

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Book Synopsis Medici's Rational Mathematics, Vol. 1 by : Charles De Medici

Download or read book Medici's Rational Mathematics, Vol. 1 written by Charles De Medici and published by Forgotten Books. This book was released on 2016-07-02 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Medici's Rational Mathematics, Vol. 1: Section A., Geometry; First Principles and Primary Elements Taught by Compass and Ruler on the Blackboard It is produced by continuing the curve B x C, as described in Exhibit 4, until the starting point B is reached. This uniform endless curve marks the longest distance from and to the self same point, contrary to the straight line which marks the shortest dis tance between two given points. When drawn on a plane surface, the endless uniform curve is called a circle's circumference; but when the endless uniform curve is used to represent the greatest dis tance around a sphere or a globe, then it is called the periphery. 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.

The Principles of Mathematics

Author : Bertrand Russell
Publisher : W. W. Norton & Company
ISBN 13 : 9780393314045
Total Pages : 580 pages
Book Rating : 4.3/5 (14 download)

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Book Synopsis The Principles of Mathematics by : Bertrand Russell

Download or read book The Principles of Mathematics written by Bertrand Russell and published by W. W. Norton & Company. This book was released on 1996 with total page 580 pages. Available in PDF, EPUB and Kindle. Book excerpt: Russell's classic The Principles of Mathematics sets forth his landmark thesis that mathematics and logic are identical--that what is commonly called mathematics is simply later deductions from logical premises.

Shop Mathematics, Vol. 1

Author : Earle B. Norris
Publisher : Forgotten Books
ISBN 13 : 9780331692334
Total Pages : 200 pages
Book Rating : 4.6/5 (923 download)

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Book Synopsis Shop Mathematics, Vol. 1 by : Earle B. Norris

Download or read book Shop Mathematics, Vol. 1 written by Earle B. Norris and published by Forgotten Books. This book was released on 2017-11-22 with total page 200 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Shop Mathematics, Vol. 1: Shop Arithmetic, Prepared in the Extension Division of the University of Wisconsin The aim of this book is to teach the fundamental principles of mathematics to shop men, using familiar terms and processes, and giving such applications to shop problems as will maintain the interest of the student and develop in him an ability to apply the mathematical and scientific principles to his every day problems of the shop. The problems and applications relate largely to the metal working trades. It has, however, been the aim in preparing this volume not to apply the work to these particular trades so closely but that it shall be of interest and value to men in other lines of industry. This volume presents the first half of the instruction papers in Shop Mathematics as developed and used by the Extension Division of the University of Wisconsin. As here offered, it embodies the point of view obtained through apprenticeship and shop experience as well as the experience gained through its use during the past four years as a text for both correspondence and class room instruction. It is believed that the book will be found suitable for home study and for use as a text in trade, industrial, and continuation schools. 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.

Mental Arithmetic, Vol. 1 (Classic Reprint)

Author : J. A. Mclellan
Publisher : Forgotten Books
ISBN 13 : 9780331910414
Total Pages : 138 pages
Book Rating : 4.9/5 (14 download)

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Book Synopsis Mental Arithmetic, Vol. 1 (Classic Reprint) by : J. A. Mclellan

Download or read book Mental Arithmetic, Vol. 1 (Classic Reprint) written by J. A. Mclellan and published by Forgotten Books. This book was released on 2017-11-25 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Mental Arithmetic, Vol. 1 In a very short time the wisdom of this course will be seen, not only in increased proficiency in mathematical science, but in consequently increased intelligence and power in mastering other subjects. It is hoped that this work, undertaken at urgent re quest of many teachers and inspectors, will'be found useful in suggesting the methods and affording the materials for thorough and systematic mental training. N o formal rules nor definitions have been given - these can be given by the teacher when the pupil has been led by easy inductions to a clear comprehension of the ideas and principles they involve. A great variety of type ques tions on the fundamental rules, fractions, and analysis, has been given and the teacher can multiply at pleasure questions corresponding to the various types. 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.

Applied Arithmetic, Vol. 1

Author : Nels Johann Lennes
Publisher : Forgotten Books
ISBN 13 : 9780265893371
Total Pages : 302 pages
Book Rating : 4.8/5 (933 download)

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Book Synopsis Applied Arithmetic, Vol. 1 by : Nels Johann Lennes

Download or read book Applied Arithmetic, Vol. 1 written by Nels Johann Lennes and published by Forgotten Books. This book was released on 2017-10-28 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Applied Arithmetic, Vol. 1: The Three Essentials Tms book is the first of a three-book series, and is intended to cover the work in Arithmetic of the second, third, and fourth grades. The principles which have guided the authors may be grouped under three main heads. 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 Course of Mathematics, Vol. 1 of 2

Author : Charles Hutton
Publisher : Forgotten Books
ISBN 13 : 9780364453520
Total Pages : 602 pages
Book Rating : 4.4/5 (535 download)

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Book Synopsis A Course of Mathematics, Vol. 1 of 2 by : Charles Hutton

Download or read book A Course of Mathematics, Vol. 1 of 2 written by Charles Hutton and published by Forgotten Books. This book was released on 2018-03-13 with total page 602 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from A Course of Mathematics, Vol. 1 of 2: For the Use of Academies, as Well as Private Tuition Asy this work has been composed expressly with the intcn tion of adapting it to the purposes of academical education, it is not designed to hold out the expectation of an entire new mass of inventions and discoveries but rather to collect and arrange the most useful known principles of mathematics, dis posed in a convenient practical form, demonstrated in a plain and concise way, and illustrated with suitable examples, re jeering whatever seemed to be matters of mere curiosity, and retaining only such parts and branches, as have a direct tenden cv and application to some useful purpose in life or profession. 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.

Mathematics for Everyday Use, Vol. 1 (Classic Reprint)

Author : Lilian Banting
Publisher : Forgotten Books
ISBN 13 : 9780364979464
Total Pages : 240 pages
Book Rating : 4.9/5 (794 download)

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Book Synopsis Mathematics for Everyday Use, Vol. 1 (Classic Reprint) by : Lilian Banting

Download or read book Mathematics for Everyday Use, Vol. 1 (Classic Reprint) written by Lilian Banting and published by Forgotten Books. This book was released on 2018-03-19 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Mathematics for Everyday Use, Vol. 1 The provision that has been made for individual differences is one of the outstanding features of this series. The following specific points may be listed. 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.

Applied Arithmetic the Three Essentials, Vol. 1 (Classic Reprint)

Author : N. J. Lennes
Publisher : Forgotten Books
ISBN 13 : 9781528352871
Total Pages : 388 pages
Book Rating : 4.3/5 (528 download)

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Book Synopsis Applied Arithmetic the Three Essentials, Vol. 1 (Classic Reprint) by : N. J. Lennes

Download or read book Applied Arithmetic the Three Essentials, Vol. 1 (Classic Reprint) written by N. J. Lennes and published by Forgotten Books. This book was released on 2017-09-13 with total page 388 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Applied Arithmetic the Three Essentials, Vol. 1 This book is the first of a three-book series, and is intended to cover the work in Arithmetic of the second, third, and fourth grades. The principles which have guided the authors may be grouped under three main heads. 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.

Arithmetic, Vol. 1 (Classic Reprint)

Author : J. A. Smith
Publisher : Forgotten Books
ISBN 13 : 9780265819920
Total Pages : 322 pages
Book Rating : 4.8/5 (199 download)

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Book Synopsis Arithmetic, Vol. 1 (Classic Reprint) by : J. A. Smith

Download or read book Arithmetic, Vol. 1 (Classic Reprint) written by J. A. Smith and published by Forgotten Books. This book was released on 2017-10-27 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Arithmetic, Vol. 1 Throughout the books suggestions are given for teach ing the various topics. It is not intended that these methods should be followed invariably, since this would lead to a mechanical uniformity in the teaching, thus destroying the interest and resourcefulness of the teacher. The methods in the texts should be regarded as suggestive. 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.

Library of Useful Knowledge, Vol. 1

Author : Diffusion of Useful Knowledge Society
Publisher : Forgotten Books
ISBN 13 : 9780282974633
Total Pages : 336 pages
Book Rating : 4.9/5 (746 download)

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Book Synopsis Library of Useful Knowledge, Vol. 1 by : Diffusion of Useful Knowledge Society

Download or read book Library of Useful Knowledge, Vol. 1 written by Diffusion of Useful Knowledge Society and published by Forgotten Books. This book was released on 2017-10-22 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Excerpt from Library of Useful Knowledge, Vol. 1: Mathematics; Study and Difficulties of Mathematics, Arithmetic and Algebra, Examples of the Processes of Arithmetic and Algebra Two straight lines which pass through the same two points must either inclose a space, or coincide and be one and the same line, but they cannot inclose a space. Therefore they must coincide. Either of these propositions bein granted, the other follows immediatef it is, there fore, immaterial which ol'y them we use. We shall return to this subject in treat ing specially of the first principles of geometry. 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.