Representation, Axiomatization, and Invariance: 3 (Dover Books on Mathematics)

Book Details:

• Author: R Duncan Luce

• Publisher: Dover

• Binding: Paperback

• Edition: Illustrated

• Number of Pages: 384

• ISBN: 9780486453163

• Release Date: 15-12-2006

• Languages: English

• Package Dimensions: 8.4 x 5.4 x 0.8 inches

About the Book:

Foundations of Measurement by R Duncan Luce is a key text in the field of measurement theory, which serves as a cornerstone for understanding the application of quantitative measurement across various scientific domains. This work presents the formal structures for assigning numbers to objects based on their inherent relationships and qualitative properties, laying the groundwork for more advanced discussions on the topic.

Volume I introduces the distinct mathematical results that form the foundation of numerical representations of qualitative structures. It explains the initial steps of measurement theory in a clear and accessible manner, helping readers understand how numbers can be assigned to abstract properties in different scientific fields.

In Volume II, the scope is expanded to encompass more complex representations, such as geometrical, threshold, and probabilistic models. This extension of the subject pushes the boundaries of traditional measurement theory, offering more sophisticated tools for understanding complex phenomena.

Volume III goes even further, delving into advanced topics like axiomatization and invariance. Here, the discussion turns toward the theoretical framework that ensures consistency and reliability in the application of measurement across a range of disciplines.

Whether you are a student, researcher, or professional, Foundations of Measurement is a comprehensive and indispensable resource that provides a thorough understanding of measurement theory, vital for anyone involved in quantitative analysis.