Project Gutenberg 2011-12-14 Public domain in the USA. 772 Various Verschillende Various, Various Encyclopaedia Britannica, 11th Edition, "Groups, Theory of" to "Gwyniad" Volume 12, Slice 6 Reading ease score: 58.7 (10th to 12th grade). Somewhat difficult to read. Produced by Marius Masi, Don Kretz and the Online Distributed Proofreading Team at http://www.pgdp.net "Encyclopaedia Britannica, 11th Edition, 'Groups, Theory of' to 'Gwyniad'" by Various is a scientific publication written during the early 20th century. This segment of the encyclopaedia delves into the mathematical concept of groups, presenting a detailed examination of group theory, including definitions, operations, and particular characteristics of both continuous and discontinuous groups. At the start of this volume, the focus is on establishing the foundational concepts of group theory. It begins by defining a group as a set of operations that can be performed on a set of objects, highlighting the relationship between operations and their inverses, and introduces key terms such as subgroups and conjugate operations. The definitions are accompanied by algebraic notation and examples, transitioning seamlessly into discourse on various types of groups, including finite and infinite groups, ultimately setting the stage for more intricate discussions of specific groups and their mathematical implications. (This is an automatically generated summary.) en Encyclopedias and dictionaries AE Text Browsing: Encyclopedias/Dictionaries/Reference 1325710 1325575 2025-02-15T13:48:28.720925 2023-09-16T13:46:14.033510 text/html text/html 1334841 2011-12-14T12:38:16 text/html; charset=iso-8859-1 1397565 2011-12-14T12:38:36 text/html; charset=iso-8859-1 application/zip 1517413 2025-02-15T13:48:50.242854 application/epub+zip 1539187 2025-02-15T13:48:34.928872 application/epub+zip 577547 2025-02-15T13:48:32.531950 application/epub+zip 2039106 2025-02-15T13:49:00.495792 application/x-mobipocket-ebook 1970072 2025-02-15T13:48:48.312907 application/x-mobipocket-ebook 824499 2022-09-17T13:11:19.722426 application/x-mobipocket-ebook 1192287 1192193 2025-02-15T13:48:26.195028 2023-09-16T13:46:11.287421 text/plain; charset=us-ascii text/plain 1190371 2011-12-14T12:38:14 text/plain; charset=iso-8859-1 463524 2011-12-14T12:38:36 text/plain; charset=iso-8859-1 application/zip 1191056 2011-12-14T12:38:34 text/plain; charset=us-ascii 462140 2011-12-14T12:38:36 text/plain; charset=us-ascii application/zip 20552 2025-02-15T13:49:00.673783 application/rdf+xml 24250 2025-02-15T13:48:33.180871 image/jpeg 4586 2025-02-15T13:48:32.860877 image/jpeg 1493958 2025-02-15T13:48:28.873896 application/octet-stream application/zip Archives containing the RDF files for *all* our books can be downloaded at https://www.gutenberg.org/wiki/Gutenberg:Feeds#The_Complete_Project_Gutenberg_Catalog