Excerpt from Algebra, Vol. 1: An Elementary Text-Book for the Higher Classes of Secondary Schools and for Colleges
IN this Edition considerable alterations have been made in chapter xii. In particular, the proof of the theorem that every integral equation has a root has been amplified, and also illustrated by graphical considerations.
An Appendix has been added dealing with the general algebraic solution of Cubic and Biquadratic Equations; with the reducibility of equations generally; and with the possibility of solution by means of square roots. As the theorems established have interesting applications in Ele mentary Geometry, it is believed that they may find an appropriate place in an Elementary work on Algebra.
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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.
Excerpt from Algebra an Elementary Text Book for the Higher Classes of Secondary Schools and for Colleges, Vol. 1
The comparatively rapid sale of an edition of over two thousand copies of this volume has shown that it has, to some extent at least, filled a vacant place in our educational system. The letters which I have received from many parts of the United Kingdom, and from America, containing words of encouragement and of useful criticism, have also strengthened me in the hope that my labour has not been in vain. It would be impossible to name here all the friends who have thus favoured me; and I take this opportunity of offering them collectively my warmest thanks.
The present edition has been thoroughly revised and corrected. The first chapter has been somewhat simplified; and, partly owing to experience with my own pupils, partly in consequence of some acute criticism sent to me by Mr. Levett of Manchester, the chapters on Indices have been recast, and, I think, greatly improved. In the verification and correction of the results of the exercises I have been indebted in a special degree to the Rev. John Wilson, Mathematical Tutor in Edinburgh.
The only addition of any consequence is a sketch of Horner's Method, inserted in chapter xv. I had originally intended to place this in Part II.; but, acting on a suggestion of Mr. Hayward's, I have now added it to Part I.
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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Paperback. Condición: New. Print on Demand. Delve into the foundational principles of algebra with this comprehensive guide, ideal for students seeking a deeper understanding of the subject. This book meticulously examines the fundamental laws governing algebra, tracing their roots back to familiar arithmetic operations. It then expands upon these concepts, introducing readers to the intricacies of algebraic form and its applications in various mathematical domains. Through clear explanations and practical examples, the author skillfully bridges the gap between abstract theory and concrete applications. Explore topics such as the laws of indices, the theory of quotients, and the fascinating world of prime and composite integers. Discover the power of the distributive law and its role in manipulating algebraic expressions. Learn about rational fractions, irrational functions, and the intriguing realm of complex numbers. This book provides a solid grounding in algebraic principles, equipping readers with the tools to tackle more advanced mathematical concepts. Its exploration of mathematical logic and the historical context of key discoveries offers a unique perspective on the evolution of algebra. By grasping the fundamental laws and processes outlined in this book, readers will unlock a deeper appreciation for the elegance and universality of mathematics, realizing its potential as a powerful tool for problem-solving and analytical thinking. 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: 9781330260166_0
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330260166
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PAP. Condición: New. New Book. Shipped from UK. Established seller since 2000. Nº de ref. del artículo: LW-9781330260166
Cantidad disponible: 15 disponibles
Librería: Revaluation Books, Exeter, Reino Unido
Paperback. Condición: Brand New. 610 pages. 9.06x6.10x1.34 inches. This item is printed on demand. Nº de ref. del artículo: zk1330260163
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