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Author : Warren Colburn
Publisher : Unknown
Page : 400 pages
File Size : 41,5 Mb
Release : 1825
Category : Algebra
ISBN : UOM:39015064455366
Author : Warren Colburn
Publisher : Legare Street Press
Page : 0 pages
File Size : 43,7 Mb
Release : 2023-07-18
Category : History
ISBN : 1022053515
This book offers an introduction to algebra using the inductive method of instruction. A helpful resource for students and teachers alike. 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.
Author : Warren Colburn
Publisher : Forgotten Books
Page : 284 pages
File Size : 41,5 Mb
Release : 2017-09-12
Category : Mathematics
ISBN : 1528350707
Excerpt from An Introduction to Algebra Upon the Inductive Method of Instruction The examples in the first fifty pages involve nearly all the Opera tions, that are ever required in simple numerical equations, with one and two unknown quantities. In the ninth article, the learner is taught to generalize particular cases, and to form rules. Ilere he is first taught to represent known quantities by letters, and at the same time the purpose Of it. The transition from particular cases to general principles is made as gra dual as possible. At first only a part of the question is generalized, and afterwards the whole Of it. 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 : Warren Colburn
Publisher : Forgotten Books
Page : 282 pages
File Size : 44,8 Mb
Release : 2016-08-23
Category : Mathematics
ISBN : 1333322720
Excerpt from Introduction to Algebra, Upon the Inductive Method of Instruction This mode has also the advantage of exercising the learner in reasoning, instead of making him a listener, while the author reasons before him. The examples in the first fifty pages involve nearly all the Opera tions, that are ever required in simple numerical equations, with one and two unknown quantities. 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 : Warren 1793-1833 Colburn
Publisher : Wentworth Press
Page : 282 pages
File Size : 46,8 Mb
Release : 2016-08-29
Category : History
ISBN : 1374073938
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 : Warren Colburn
Publisher : Unknown
Page : 308 pages
File Size : 43,9 Mb
Release : 1839
Category : Algebra
ISBN : HARVARD:32044097010037
Author : Warren Colburn
Publisher : Legare Street Press
Page : 0 pages
File Size : 43,9 Mb
Release : 2023-07-18
Category : Electronic
ISBN : 1022849972
An Introd to Algebra Upon the Inductive Method of Instruction is a classic mathematical textbook, written by Warren Colburn. The book teaches algebra using the inductive method of instruction, which emphasizes problem-solving and discovery. This book is a must-read for anyone studying mathematics. 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.
Author : Warren Colburn
Publisher : Unknown
Page : 276 pages
File Size : 42,9 Mb
Release : 1996
Category : Electronic
ISBN : OCLC:906704932
Author : Warren Colburn
Publisher : Forgotten Books
Page : 54 pages
File Size : 53,6 Mb
Release : 2015-06-24
Category : Mathematics
ISBN : 1330153405
Excerpt from A Key Containing the Answers to the Examples in the Introduction to Algebra: Upon the Inductive Method of Instruction Be it remembered, That on the eleventh day of May, A. D. 1827, in the fifty-first year of the Independence of the United States of America, Hilliard, Gray, Little, and Wilkins, of the said district, have deposited in this office the title of a book, the right whereof they claim as proprietors, in the words following, to wit: "A Key, containing the Answers to the Examples in the Introduction to Algebra upon the Inductive Method of Instruction. By Warren Colburn, A. M." In conformity to the Act of the Congress of the United States, entitled, "An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies, during the times therein mentioned:" and also to an act, entitled, "An Act supplementary to an act, entitled, An Act for the encouragement of learning, by securing the copies of maps, charts, and books, to the authors and proprietors of such copies during the times therein mentioned; and extending the benefits thereof to the arts of designing, engraving, and etching historical and other prints." 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 : Warren Colburn
Publisher : Unknown
Page : 66 pages
File Size : 46,6 Mb
Release : 1827
Category : Algebra
ISBN : BL:A0019164248
Author : Warren Colburn
Publisher : Unknown
Page : 288 pages
File Size : 44,9 Mb
Release : 1828
Category : Arithmetic
ISBN : HARVARD:32044096990601
Author : Warren Colburn
Publisher : Forgotten Books
Page : 54 pages
File Size : 44,6 Mb
Release : 2017-09-12
Category : Mathematics
ISBN : 1528152816
Excerpt from A Key Containing the Answers to the Examples in the Introduction to Algebra: Upon the Inductive Method of Instruction They received 56, 35, and 7, respectively. $192, $448, $320, respectively. 6 K 3, Their sums were $140, $90, $190, respectively. III. 1 See Book. 2. Horse $164, and chaise $136. 3. Son's share $7175, daughter's share $4825. 4 See Book. 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 : John H. Harney
Publisher : Rarebooksclub.com
Page : 66 pages
File Size : 52,9 Mb
Release : 2013-09
Category : Electronic
ISBN : 1230064745
This historic book may have numerous typos and missing text. Purchasers can usually download a free scanned copy of the original book (without typos) from the publisher. Not indexed. Not illustrated. 1840 edition. Excerpt: ... X aT X ax = a; therefore a2 = ar, or the third power of the second root of a is the same as the sixth power of the fourth root of a. In like manner it may be shown, that any fractional exponent may be changed by multiplying or dividing its numerator and denominator, both by the same number, without altering 3 4 8 the value of the number. Thus a2 = a = aTi &c. Hence a? X a = oT5 X oTT = cft2=aX a" And a X a = a X a = a a i 2 l i I 1. Multiply a2 by a1, a by aT. aT by a. II 31 11 11 I 1 2. Multiply a b3 by a2 6. a5 ft3" by a2 6T. a67 by aT6. 3. What is the second root of the product of 4 and 9? 4. What is the product of the second roots of 4 and 9? 5. What is the second root of the product of 16 and 25? 6. What is the product of the second roots of 16 and 25? 7. What is the third root of the product of 8 and 27? 8. What is the product of the third roots of 8 and 27? The root of the product of two or more factors, is the same as the product of the roots of those factors. Hence (aX aX a) = a? X a X a = a 3 a82 may be read the second root of the third power of a, or the third power of the second root of a. As we can raise any power of a to a given power, by multiplying its exponent by the exponent of the power to which it is to be raised, we may obtain the root of any power by dividing the exponent of the power. Thus, the second root of a8 is a3, the third root of a6 is a2, &c. 9. What is the third root of a9? 10. What is the sixth root of ai2; Of a18? Of a24? 11. What is the second root of a2 b? Of 4 a2 b2? i I 12. Divide a3 by a3. Subtracting their exponents, we have But _! 1 Hence a 3 =--a3 From this example it is evident, that negative fractional exponents may be used as well as negative integral exponents; and...
Author : Warren Colburn
Publisher : Unknown
Page : 50 pages
File Size : 53,6 Mb
Release : 1839
Category : Algebra
ISBN : OCLC:9939315
Author : Library of Congress,American Library Association. Committee on Resources of American Libraries. National Union Catalog Subcommittee
Publisher : Unknown
Page : 712 pages
File Size : 51,9 Mb
Release : 1970
Category : Catalogs, Union
ISBN : UOM:39015082906416