Symbolic Algebra, or the Algebra of Algebraic Numbers: Together With Critical Notes on the Methods of Reasoning Employed in Geometry (Classic Reprint) - Hardcover

Wm; Cain

Hardcover

ISBN 10: 0484236091 ISBN 13: 9780484236096

Publisher: Forgotten Books, 2018

Synopsis

Symbolic Algebra reveals the logic behind negative quantities and builds a rational basis for all algebraic operations. This edition explains how the symbols extend ordinary arithmetic to a general framework applicable to geometry.

Symbolic Algebra, or The Algebra of Algebraic Numbers, offers a carefully developed look at how plus and minus quantities fit into a broader, more rigorous system. The work argues for a true, real treatment of negative quantities and shows how basic rules for addition, subtraction, multiplication, and division can be grounded in that broader view. It also contrasts synthetic and analytical methods of reasoning, and it discusses how these ideas matter when applying algebra to geometry.

• Learn how to treat negative quantities with a consistent set of rules for combining like terms.
• See how the order of operations is preserved and how signs affect sums and products.
• Understand the difference between synthetic and analytical approaches and when each is useful.
• Explore how symbolic algebra aims to generalize problems and theorems beyond ordinary numbers, especially in geometry.

Ideal for readers of foundational texts in algebra and those interested in the logical underpinnings of mathematical reasoning.

Edition details

• Publisher: Forgotten Books
• Publication date: 2018
• Language: English
• ISBN 10: 0484236091
• ISBN 13: 9780484236096
• Binding: Hardcover
• Number of pages: 148