The Number-System of Algebra: Treated Theoretically and Historically
Language: English
Published by Forgotten Books, 2018
- Softcover
- New
Seller: Forgotten Books, London, United KingdomForgotten Books
AbeBooks seller since June 2, 2021
Condition: New
£ 14.59
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Print on Demand. This book offers a theoretical exploration of the nature of numbers, examining the positive integer and the four artificial forms of number — the negative, fraction, irrational, and imaginary — that, along with the positive integer, constitute the number system of algebra. The author provides an elementary exposition of these concepts, following in the footsteps of Peacock, Gregory, Hankel, Weierstrass, Cantor, and Thomae. The discussion of the artificial numbers largely adheres to the lines of the author’s earlier work, On the Forms of Number arising in Common Algebra, but is more exhaustive and thorough. The author contends that algebra is completely defined formally by the laws of combination to which its fundamental operations are subject, and that these laws alone define the operations, and the operations the various artificial numbers, as their formal or symbolic results. This position was developed for the negative, fraction, and imaginary by Hankel in 1867, and made complete by Cantor’s beautiful theory of the irrational in 1871, but has yet to receive adequate treatment in English. 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.…
Seller Inventory # 9781330109908_0
- Title
- The Number-System of Algebra: Treated Theoretically and Historically
- Author
- Henry B. Fine
- Publisher
- Forgotten Books
- Publication year
- 2018
- Condition
- New
- Book Type
- print-on-demand item
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1330109902
- ISBN 13
- 9781330109908
- Seller catalogs
- Algebra
Discover how algebra’s symbols, roots, and imaginary ideas evolved—from Descartes to quaternions—and why they still shape math today.
This book surveys the number-system of algebra in a historical and theoretical light. It traces how symbolic notation, negative and imaginary numbers, and the idea of a continuous variable expanded the reach of mathematics. Through short, clear explanations, it connects old methods to modern ideas, showing how foundational concepts emerged and why they matter now.
- Learn how early notations and binomial thinking laid the groundwork for modern algebraic symbolism
- See how the negative and the imaginary were accepted as useful tools in advancing theory
- Explore the shift from geometry to the algebra of line segments and the rise of the continuous variable
- Understand how key figures like Descartes, Newton, Euler, and Hamilton shaped the number-system you use today
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Forgotten Books’ Classic Reprint Series utilizes the latest technology to regenerate facsimiles of historically important writings. Careful attention has been made to accurately preserve the original format of each page whilst digitally enhancing the quality of the aged text.
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Forgotten Books publishes hundreds of thousands of rare and classic books.
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.
This text has been digitally restored from a historical edition. Some errors may persist, however we consider it worth publishing due to the work's historical value.
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