Items related to Contributions to the Founding of the Theory of Transfinite...
Synopsis
Excerpt from Contributions to the Founding of the Theory of Transfinite Numbers This volume contains a translation of the two very important memoirs of Georg Cantor on transfinite numbers which appeared in the Mathematische Annalen for 1895 i 1897 under the title: "Beitrage zur Begrundung der transfiniten Mengenlehre." It seems to me that, since these memoirs are chiefly occupied with the investigation of the various transfinite cardinal and ordinal numbers and not with investigations belonging to what is usually described as "the theory of aggregates" or "the theory of sets" (Mengenlehre, theorie des ensembles), - the elements of the sets being real or complex numbers which are imaged as geometrical "points" in space of one or more dimensions, - the title given to them in this translation is more suitable. These memoirs are the final and logically purified statement of many of the most important results of the long series of memoirs begun by Cantor in 1870. About the Publisher Forgotten Books publishes hundreds of thousands of rare and classic books. Find more at www.forgottenbooks.com This book is a reproduction of an important historical work. Forgotten Books uses state-of-the-art technology to digitally reconstruct the work, preserving the original format whilst repairing imperfections present in the aged copy. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in our edition. We do, however, repair the vast majority of imperfections successfully; any imperfections that remain are intentionally left to preserve the state of such historical works."
"synopsis" may belong to another edition of this title.
- PublisherForgotten Books
- Publication date2019
- ISBN 10 1330493044
- ISBN 13 9781330493045
- BindingPaperback
- LanguageEnglish
- Number of pages226
Buy New
View this item
£ 14.14
FREE shipping from United Kingdom to U.S.A.
Destination, rates & speedsOther Popular Editions of the Same Title
Search results for Contributions to the Founding of the Theory of Transfinite...
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Print on DemandSeller: Forgotten Books, London, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: New. Print on Demand. This book delves into the fascinating evolution of mathematical thought during the 19th century, tracing the emergence and development of the theory of functions. The narrative unfolds against the backdrop of groundbreaking contributions from renowned mathematicians like Fourier, Cauchy, Riemann, and Weierstrass, each of whom played a pivotal role in shaping this field. Central to the book's exploration is the profound impact of these mathematicians' work on the understanding of mathematical concepts such as continuity, convergence, and the nature of numbers themselves. It meticulously examines the shift from a geometric understanding of numbers to a more rigorous, arithmetical foundation, highlighting the critical role of Weierstrass's theory of irrational numbers. Furthermore, the book delves into the pioneering work of Georg Cantor, who built upon these foundations to develop his groundbreaking theory of transfinite numbers. This theory extended the concept of numbers beyond the finite realm, revolutionizing the way mathematicians conceptualize infinity and its various orders. By illuminating the historical context and intellectual currents that shaped the theory of functions and transfinite numbers, this book provides invaluable insights into the intricate world of mathematical thought and its far-reaching implications for our understanding of the infinite. 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 # 9781330493045_0
Quantity: Over 20 available
Stock Image
Contributions to the Founding of the Theory of Transfinite Numbers (Classic Reprint)
Seller: PBShop.store US, Wood Dale, IL, U.S.A.
Seller rating 5 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330493045
Quantity: 15 available
Stock Image
Contributions to the Founding of the Theory of Transfinite Numbers Classic Reprint
Seller: PBShop.store UK, Fairford, GLOS, United Kingdom
Seller rating 4 out of 5 stars
PAP. Condition: New. New Book. Shipped from UK. Established seller since 2000. Seller Inventory # LW-9781330493045
Quantity: 15 available
Seller Image
Cantor, G: Contributions to the Founding of the Theory of Tr
Seller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. KlappentextrnrnExcerpt from Contributions to the Founding of the Theory of Transfinite NumbersrnrnHankel attempted to exhibit the theory of functions of a real variable as leading, of necessity, to the restrictions and extensions from which we s. Seller Inventory # 2147767144
Quantity: Over 20 available