Foundations of Measurement Volume I: Additive and Polynomial Representations: 1 (Dover Books on Mathematics)
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Foundations of Measurement Volume I: Additive and Polynomial Repres...
Book Details:
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Author: David H. Krantz
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Publisher: Dover
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Edition: Illustrated Edition
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Binding: Paperback
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Number of Pages: 624
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ISBN: 9780486453149
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Release Date: 26-01-2007
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Languages: English
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Package Dimensions: 8.5 x 5.5 x 1.3 inches
About the Book:
Foundations of Measurement by David H. Krantz is a groundbreaking work that provides an in-depth exploration of the formal foundations behind the concept of measurement in the sciences. Spanning across three volumes, this influential series establishes the mathematical principles that justify assigning numbers to objects, based on their structural correspondences. These volumes are indispensable for students and professionals involved in fields that require quantitative measurement, including the physical, biological, and social sciences.
Volume I introduces the core mathematical results that serve as the basis for representing qualitative structures numerically. It lays down the groundwork for understanding how abstract concepts can be quantified through a rigorous mathematical framework.
In Volume II, the focus shifts to more advanced topics like geometrical, threshold, and probabilistic representations, expanding on the foundational concepts presented in the first volume.
Volume III takes a deeper dive into the theory of representation, specifically examining the process of axiomatization and the role of invariance in measurement. This volume is a critical reference for anyone involved in the formal aspects of measurement theory and its applications.
With its detailed explanations and illustrated format, Foundations of Measurement is a definitive guide for those seeking a comprehensive understanding of the mathematical and conceptual underpinnings of measurement in science. It serves as a foundational text for advanced students and professionals looking to develop a deeper appreciation of the importance and intricacies of quantitative measurement.
