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Jan 1, 1845 — Jan 1, 1918· 73 yrs

GERMAN REICH AUTHOR

Georg Cantor

Also known as: Cantor Georg 1845-1918, Georgg CANTOR

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Saint Petersburg, German Reich
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#1

Briefe

1994

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For two decades, beginning in the early 1870s, Robert Keller, music editor for N. Simrock Verlag in Berlin, worked with diligence and devotion to usher into print most of Johannes Brahms's major compositions, including all four of his symphonies, the Violin Concerto, the Double Concerto, the Second Piano Concerto, and numerous chamber, choral, and vocal works. This volume collects for the first time the complete extant correspondence between Brahms and Keller, as preserved in the collections of the Library of Congress and the Gesellschaft der Musikfreunde in Vienna. To read their correspondence is to witness a relationship of mutual respect and increasing friendship and to gain an appreciation for the meticulous labor that went into the publication of Brahms's masterpieces. This edition includes transcriptions of the letters in the original German and English-language translations.

#2

Contributions to the founding of the theory of transfinite numbers

1915

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One of the greatest mathematical classics of all time, this work established a new field of mathematics which was to be of incalculable importance in topology, number theory, analysis, theory of functions, etc., as well as in the entire field of modern logic. It is rare that a theory of such fundamental mathematical importance is expressed so simply and clearly: the reader with a good grasp of college mathematics will be able to understand most of the basic ideas and many of the proofs. Cantor first develops the elementary definitions and operations of cardinal and ordinal numbers and analyzes the concepts of "cardinality" and "ordinality." He covers such topics as the addition, multiplication, and exponentiation of cardinal numbers, the ordinal types of simply ordered aggretates, operations on ordinal types, the ordinal types of the linear continuum, and others. He then develops a theory of well-ordered aggregates, and investigates the ordinal numbers of well-ordered aggregates and the properties and extent of the transfinite ordinal numbers. -- from back cover.

#3

The continuum, and other types of serial order, with an introduction to Cantor's transfinite numbers

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