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9781330339510: A History of Elementary Mathematics: With Hints on Methods of Teaching (Classic Reprint)

Sinopsis

Excerpt from A History of Elementary Mathematics: With Hints on Methods of Teaching

In the preparation of this history, I have made extensive use of the works of Cantor, Hankel, Unger, De Morgan, Pea cock, Gow, Allman, Loria, and of other prominent writers On the history of mathematics. Original sources have been consulted, whenever opportunity has presented itself. It gives me much pleasure to acknowledge the assistance ren dered by the United States Bureau of Education, in. For warding for examination a number of old text-books which otherwise would have been inaccessible to me. It should also be said that a large number of passages in this book are taken, with only slight alteration, from my History of Mathematics, Macmillan co., 1895. Some parts of the present work are, therefore, not independent of the earlier one.

It has been my privilege to have my manuscript read by two scholars of well-known ability, - Dr. G. B. Halsted of the University of Texas, and Professor F. H. Loud of Colorado College. Through their suggestions and corrections many infelicities in language and several inaccuracies of statement have disappeared. Valuable assistance in proof-reading has been rendered by Professor Loud, by Mr. P. E. Doudna, formerly Fellow in Mathematics at the University of Wis consin, and by Mr. F. K. Bailey, a student in Colorado College. I extend to them my sincere thanks.

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.

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Reseña del editor

Excerpt from A History of Elementary Mathematics: With Hints on Methods of Teaching

In the preparation of this history, I have made extensive use of the works of Cantor, Hankel, Unger, De Morgan, Pea cock, Gow, Allman, Loria, and of other prominent writers On the history of mathematics. Original sources have been consulted, whenever opportunity has presented itself. It gives me much pleasure to acknowledge the assistance ren dered by the United States Bureau of Education, in. For warding for examination a number of old text-books which otherwise would have been inaccessible to me. It should also be said that a large number of passages in this book are taken, with only slight alteration, from my History of Mathematics, Macmillan co., 1895. Some parts of the present work are, therefore, not independent of the earlier one.

It has been my privilege to have my manuscript read by two scholars of well-known ability, - Dr. G. B. Halsted of the University of Texas, and Professor F. H. Loud of Colorado College. Through their suggestions and corrections many infelicities in language and several inaccuracies of statement have disappeared. Valuable assistance in proof-reading has been rendered by Professor Loud, by Mr. P. E. Doudna, formerly Fellow in Mathematics at the University of Wis consin, and by Mr. F. K. Bailey, a student in Colorado College. I extend to them my sincere thanks.

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.

Reseña del editor

Excerpt from A History of Elementary Mathematics With Hints on Methods of Teaching

"The education of the child must accord both in mode and arrangement with the education of mankind as considered historically; or, in other words, the genesis of knowledge in the individual must follow the same course as the genesis of knowledge in the race. To M. Comte we believe society owes the enunciation of this doctrine - a doctrine which we may accept without committing ourselves to his theory of the genesis of knowledge, either in its causes or its order." If this principle, held also by Pestalozzi and Froebel, be correct, then it would seem as if the knowledge of the history of a science must be an effectual aid in teaching that science. Be this doctrine true or false, certainly the experience of many instructors establishes the importance of mathematical history in teaching. With the hope of being of some assistance to my fellow-teachers, I have prepared this book and have interlined my narrative with occasional remarks and suggestions on methods of teaching.

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.

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Florian Cajori
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ISBN 10: 1330339517 ISBN 13: 9781330339510
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Florian Cajori
Publicado por Forgotten Books, 2018
ISBN 10: 1330339517 ISBN 13: 9781330339510
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Florian Cajori
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Paperback. Condición: New. Print on Demand. This book takes readers on a captivating journey through the evolution of number systems and the development of arithmetic and algebra, tracing their origins from ancient civilizations to the Middle Ages. The author explores the diverse methods used by ancient cultures, such as the Egyptians, Babylonians, and Greeks, to represent numbers and perform calculations. From the fascinating finger counting systems of early civilizations to the innovative use of the abacus, the book unveils the ingenuity and limitations of early mathematical practices. The author sheds light on the crucial discovery of the principle of position, a fundamental concept that revolutionized our understanding of numbers and facilitated complex calculations, and its introduction to the world through the Hindus. Through the lens of mathematical history, the book delves into the interconnectedness of arithmetic, algebra, and geometry, showcasing how these disciplines influenced and enriched one another. By exploring the fascinating history of these foundational mathematical ideas, this book provides a unique and insightful perspective on the evolution of human knowledge and its profound impact on our world. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Nº de ref. del artículo: 9781330339510_0

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