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

Peacock, George

9781527725812: A Treatise on Algebra, Vol. 1 (Classic Reprint)

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ISBN 10 : 1527725812 ISBN 13 : 9781527725812

Editeur : Forgotten Books, 2018

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Unlock the foundations of algebra with a clear, structured approach that separates arithmetic from symbolic reasoning.

This first volume presents arithmetical algebra as the study of symbols representing numbers and operations with well-defined limits. It explains why symbols like + and - behave as in ordinary arithmetic, while also showing how extending these ideas leads to a broader symbolic algebra. You’ll see how the author distinguishes arithmetic from symbolical algebra to keep concepts clear, and how this separation widens the scope of number theory and arithmetical processes.

The work emphasizes careful definitions and the necessity of hypotheses for connecting terms in proportion, work, and cause-and-effect. It explains how general results arise from the rules of arithmetical algebra, and how symbolical algebra removes certain restrictions to reveal broader, more flexible results. The goal is a unified view that respects the limits of each system while highlighting their shared foundations.

How arithmetical algebra limits operations to defined numerical values and homogeneous expressions

How symbolical algebra extends rules to more general forms while preserving logical consistency

Practical guidance on forming and interpreting proportions, causes and effects, and work-related problems

Ideal for readers seeking a solid, methodical introduction to algebra’s two traditions and their early connections to number theory.

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�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 1527725812
ISBN 13: 9781527725812
Reliure: Broch�
Nombre de pages: 423
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A Treatise on Algebra, Vol. 1 (Classic Reprint)

George Peacock

Edit� par Forgotten Books, 2018

ISBN 10 : 1527725812 ISBN 13 : 9781527725812

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Vendeur : Forgotten Books, London, Royaume-Uni

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Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of algebra, exploring its fundamental principles and its applications in number theory. The author meticulously separates the field of algebra into two distinct branches: arithmetical algebra and symbolical algebra. The book begins by laying the groundwork for arithmetical algebra, which uses symbols to represent numbers, employing the same definitions and limitations as common arithmetic. The author then explores the fundamental operations in arithmetic, such as addition, subtraction, multiplication, and division, demonstrating how these operations are represented using symbols. The book then moves on to the theory of extracting roots, surds, ratios, and proportions, providing a thorough examination of their applications within the framework of arithmetical algebra. This exploration provides a solid foundation for understanding the complexities of symbolical algebra. By meticulously contrasting the two branches of algebra, the author offers a unique perspective on the evolution and development of the field, highlighting the limitations of arithmetical algebra and the power and scope of symbolical algebra. The book's insights offer a clear understanding of the transition from the restricted world of arithmetical algebra to the more expansive realm of symbolical algebra, illuminating the fundamental principles that drive both branches. 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. N� de r�f. du vendeur 9781527725812_0

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