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Fundamental Conceptions of Modern Mathematics: Variables and Quantities; With a Discussion of the General Conception of Functional Relation (Classic Reprint) - Softcover
Synopsis
Explore how core ideas in mathematics are defined and understood, from numbers to functions, with clear historical and conceptual context.
In this scholarly volume, readers are guided through foundational questions about what counts as a number, what makes a function, and how definitions shape mathematical practice. The text traces debates about the nature of quantity, symbols versus objects, and the language mathematicians use to describe abstract concepts. It presents critical perspectives on classic ideas, including how historical definitions and terminology evolved, and what this means for modern analysis.
With careful discussion and illustrative examples, the book helps readers see how different traditions influence the way we think about analytic truth, continuity, and the structure of functional relations. It situates these ideas within a broad view of mathematical development, inviting readers to consider how definitions affect problem solving and theory building.
- Explanations of what makes a relation analytic or non-analytic, and how continuity matters.
- Discussion of how symbols, terms, and quantities relate in counting and number theory.
- Historical perspectives on key definitions of function and their implications for practice.
- Examples that connect foundational questions to broader themes in modern mathematics.
Ideal for readers of mathematical history and philosophy who want a rigorous, accessible primer on the underpinnings of modern analysis.
"synopsis" may belong to another edition of this title.
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Fundamental Conceptions of Modern Mathematics: Variables and Quantities
Print on DemandSeller: Forgotten Books, London, United Kingdom
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Paperback. Condition: New. Print on Demand. This book challenges some of the bedrock principles of modern mathematics, particularly with regard to variables and quantities. The author begins by examining accepted definitions and axioms, finding them fundamentally flawed. His analysis reveals that commonly held notions of variables as possessing attributes of quantity is erroneous. Throughout, the author provides rigorous arguments supported by ample evidence to present a new, more comprehensive theory of variables. This book is a must-read for anyone who seeks to understand the fundamental principles of mathematics, as it includes the potential to reshape the way we approach and teach the subject. 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. Seller Inventory # 9781330116326_0
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Fundamental Conceptions of Modern Mathematics Variables and Quantities With a Discussion of the General Conception of Functional Relation Classic Reprint
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330116326
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Fundamental Conceptions of Modern Mathematics Variables and Quantities With a Discussion of the General Conception of Functional Relation Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330116326
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