Shizuhiko Nishisato Knihy

Focusing on the intersection of mathematics and diverse research fields, this book aims to equip non-mathematicians with essential mathematical tools for quantification theory. It prioritizes foundational concepts over complex details, making it accessible for experts from various disciplines. The initial sections cover necessary mathematical strategies before introducing quantification theory as a practical application of these tools. By simplifying the approach, the book broadens the understanding and application of quantification theory beyond traditional mathematical boundaries.

Focusing on mathematical and spatial symmetry, this book reexamines quantification theory, highlighting its significance in various fields, from the arts to biology. It emphasizes symmetry as a crucial element for understanding beauty, equilibrium, and data analysis, presenting it as essential for representing functional optimality. This fresh perspective aims to clarify the goals of quantification theory and the boundaries of quantification space, addressing an overlooked area in research.

The book, first published in 1993, offers insights into its subject matter through a scholarly lens. It is part of the Routledge imprint, known for its focus on academic and professional publishing. The content is designed to engage readers with its in-depth analysis and research, making it a valuable resource for students and professionals alike.

Diversity is characteristic of the information age and also of statistics. To date, the social sciences have contributed greatly to the development of handling data under the rubric of measurement, while the statistical sciences have made phenomenal advances in theory and algorithms. Measurement and Multivariate Analysis promotes an effective interplay between those two realms of research-diversity with unity. The union and the intersection of those two areas of interest are reflected in the papers in this book, drawn from an international conference in Banff, Canada, with participants from 15 countries. In five major categories - scaling, structural analysis, statistical inference, algorithms, and data analysis - readers will find a rich variety of topics of current interest in the extended statistical community.