Theories of Dimension from Ancient to Modern Times

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Theories of Dimension from Ancient to Modern Times is written by Dale Martin Johnson and published by Springer Nature. It's available with International Standard Book Number or ISBN identification 3032026822 (ISBN 10) and 9783032026828 (ISBN 13).

This book provides a history and analysis of the ideas, problems, concepts, and theories of dimension from ancient to modern times. It focuses primarily on topological and, to a lesser extent, measure-theoretic approaches. It offers a detailed account of the contributions of key mathematicians who shaped dimension theory, including Bernard Bolzano, Bernhard Riemann, Georg Cantor, Richard Dedekind, Henri Poincaré, L.E.J. Brouwer, Paul Urysohn, Karl Menger, Witold Hurewicz, Paul Alexandroff, and Felix Hausdorff. The book examines the twists and turns in the development of the subject, including its controversies, and explores the philosophical aspects of its history. As the first in-depth historical study of dimension theory, it serves as a reference for historians and philosophers of mathematics. It also provides general historical background for students and researchers with broader mathematical interests.