Contributions To The Founding Of The Theory Of Transfinite Numbers
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Author | : Georg Cantor |
Publisher | : |
Total Pages | : 236 |
Release | : 1915 |
Genre | : Arithmetic |
ISBN | : |
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Author | : George Cantor |
Publisher | : Cosimo, Inc. |
Total Pages | : 225 |
Release | : 2007-05-01 |
Genre | : Cooking |
ISBN | : 1602064423 |
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"In it, Jourdain outlines the contributions of many of Cantor?'s forerunners including Fourier, Dirichlet, Cauchy, Weierstrass, Riemann, Dedekind, and Hankel and then further contextualizes Cantor?'s groundbreaking theory by recounting and examining his earlier work. In this volume, Cantor addresses: the addition and multiplication of powers the exponentiation of powers the finite cardinal numbers the smallest transfinite cardinal number aleph-zero addition and multiplication of ordinal types well-ordered aggregates the ordinal numbers of well-ordered aggregates and much more.German mathematician GEORG CANTOR (1845-1918) is best remembered for formulating set theory. His work was considered controversial at the time, but today he is widely recognized for his important contributions to the field of mathematics."
Author | : Georg Cantor |
Publisher | : |
Total Pages | : 236 |
Release | : 1911 |
Genre | : Number theory |
ISBN | : |
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Author | : Georg Cantor |
Publisher | : |
Total Pages | : 211 |
Release | : 2003-01 |
Genre | : |
ISBN | : 9780758131690 |
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The famous articles, 1895-7, that founded a new branch of mathematics. Covers addition, multiplication and exponentiation of cardinal numbers, smallest transfinite cardinal numbers, ordinal types of simple ordered aggregates, more. Translated with introduction by P. Jourdain.
Author | : T. H. Hildebrandt |
Publisher | : |
Total Pages | : 382 |
Release | : 1916 |
Genre | : |
ISBN | : |
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Author | : Joseph Warren Dauben |
Publisher | : Princeton University Press |
Total Pages | : 422 |
Release | : 1990 |
Genre | : Infinite.. |
ISBN | : 9780691085838 |
Download Georg Cantor Book in PDF, Epub and Kindle
One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of transfinite sets. This revolution is the subject of Joseph Dauben's important studythe most thorough yet writtenof the philosopher and mathematician who was once called a "corrupter of youth" for an innovation that is now a vital component of elementary school curricula. Set theory has been widely adopted in mathematics and philosophy, but the controversy surrounding it at the turn of the century remains of great interest. Cantor's own faith in his theory was partly theological. His religious beliefs led him to expect paradoxes in any concept of the infinite, and he always retained his belief in the utter veracity of transfinite set theory. Later in his life, he was troubled by recurring attacks of severe depression. Dauben shows that these played an integral part in his understanding and defense of set theory.
Author | : Jose Ferreiros |
Publisher | : Springer Science & Business Media |
Total Pages | : 472 |
Release | : 2001-11-01 |
Genre | : Mathematics |
ISBN | : 9783764357498 |
Download Labyrinth of Thought Book in PDF, Epub and Kindle
"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)
Author | : Paul J. Cohen |
Publisher | : Courier Corporation |
Total Pages | : 196 |
Release | : 2008-12-09 |
Genre | : Mathematics |
ISBN | : 0486469212 |
Download Set Theory and the Continuum Hypothesis Book in PDF, Epub and Kindle
This exploration of a notorious mathematical problem is the work of the man who discovered the solution. Written by an award-winning professor at Stanford University, it employs intuitive explanations as well as detailed mathematical proofs in a self-contained treatment. This unique text and reference is suitable for students and professionals. 1966 edition. Copyright renewed 1994.
Author | : Georg Cantor |
Publisher | : Hardpress Publishing |
Total Pages | : 236 |
Release | : 2013-01-28 |
Genre | : |
ISBN | : 9781313358941 |
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Unlike some other reproductions of classic texts (1) We have not used OCR(Optical Character Recognition), as this leads to bad quality books with introduced typos. (2) In books where there are images such as portraits, maps, sketches etc We have endeavoured to keep the quality of these images, so they represent accurately the original artefact. Although occasionally there may be certain imperfections with these old texts, we feel they deserve to be made available for future generations to enjoy.
Author | : Apollonius (of Perga.) |
Publisher | : |
Total Pages | : 444 |
Release | : 1896 |
Genre | : Conic sections |
ISBN | : |
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