This book was originally published prior to 1923, and represents a reproduction of an important historical work, maintaining the same format as the original work. While some publishers have opted to apply OCR (optical character recognition) technology to the process, we believe this leads to sub-optimal results (frequent typographical errors, strange characters and confusing formatting) and does not adequately preserve the historical character of the original artifact. We believe this work is culturally important in its original archival form. While we strive to adequately clean and digitally enhance the original work, there are occasionally instances where imperfections such as blurred or missing pages, poor pictures or errant marks may have been introduced due to either the quality of the original work or the scanning process itself. Despite these occasional imperfections, we have brought it back into print as part of our ongoing global book preservation commitment, providing customers with access to the best possible historical reprints. We appreciate your understanding of these occasional imperfections, and sincerely hope you enjoy seeing the book in a format as close as possible to that intended by the original publisher.
An Unabridged, Unaltered Printing Of Volume III Of III With Additional Errata To Volumes I And II: Part V - SERIES (Continued) - Well Ordered Series - Finite And Infinite Series And Ordinals - Compact Series, Rational Series, And Continuous Series - Part VI - QUANTITY - Generalization Of Number - Vector-Families - Measurement - Cyclic Families
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Gratuit expédition depuis Royaume-Uni vers Etats-Unis
Destinations, frais et délaisVendeur : Forgotten Books, London, Royaume-Uni
Paperback. Etat : New. Print on Demand. This book delves into the fascinating world of well-ordered series, a concept crucial to understanding the foundations of mathematics. The author, working within the broader context of set theory, explores the unique properties of these series, which differ significantly from other types of series. The book meticulously examines the concept of transfinite induction, a powerful tool for reasoning about well-ordered series. This method, which extends the familiar principle of mathematical induction, enables the author to prove profound results about the structure and behavior of these series. The author also sheds light on the concept of ordinal numbers, which are defined as the relation-numbers of well-ordered series. These numbers, unlike the more familiar natural numbers, can be transfinite, reflecting the infinite nature of certain well-ordered series. The book explores the properties of ordinal numbers, including their addition, multiplication, and exponentiation. The author's in-depth analysis of well-ordered series and ordinal numbers provides invaluable insights into the fundamental building blocks of mathematics, offering a deeper understanding of the nature of infinity and the power of logical reasoning. 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. N° de réf. du vendeur 9781333598112_0
Quantité disponible : Plus de 20 disponibles
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333598112
Quantité disponible : 15 disponible(s)
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333598112
Quantité disponible : 15 disponible(s)