Excerpt from The Continuum, and Other Types of Serial Order: With an Introduction to Cantor's Transfinite Numbers
66 - 70. Definition of n-dimensional continuous series. Series of type 0 71. The one - to-one correspondence between the points of all Space and the points of a line. 72. Note on multiply ordered classes.
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Paperback. Condition: New. Print on Demand. This book comprehensively explores the continuum, a core concept in mathematics. It presents a detailed and clear account of the foundational theories and ideas that have shaped our understanding of continuous quantities. The author systematically examines the works of Dedekind, Cantor, and other prominent mathematicians to provide a comprehensive overview of the historical development of the field. The book delves into the fundamental ideas of order, sets, and transfinite numbers, offering a deep understanding of the mathematical underpinnings of calculus and real analysis. It examines discrete series (like the natural numbers) and continuous series (like the real numbers) and establishes the importance of Cantor's theory of order types. The author elucidates how these ideas have revolutionized our comprehension of infinity and mathematical systems. This book is not only an invaluable resource for mathematicians and students of the history of mathematics but also a fascinating read for anyone interested in the evolution of mathematical thought. It illuminates the power of abstract concepts and their impact on our understanding of the world. 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 # 9781333588526_0
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333588526
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PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781333588526
Quantity: 15 available