Items related to Contributions to the Founding of the Theory of Transfinite...
Synopsis
2010 Reprint of 1915 Edition. Georg Ferdinand Ludwig Philipp Cantor was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between sets, defined infinite and well-ordered sets, and proved that the real numbers are "more numerous" than the natural numbers. In fact, Cantor's theorem implies the existence of an "infinity of infinities". He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware. In 1895-97 Cantor fully propounded his view of continuity and the infinite, including infinite ordinals and cardinals, in his best known work, Contributions to the Founding of the Theory of Transfinite Numbers . This work contains his conception of transfinite numbers, to which he was led by his demonstration that an infinite set may be placed in a one-to-one correspondence with one of its subsets.
"synopsis" may belong to another edition of this title.
From the Back Cover
"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."
"About this title" may belong to another edition of this title.
- PublisherMartino Fine Books
- Publication date2010
- ISBN 10 1891396536
- ISBN 13 9781891396533
- BindingPaperback
- LanguageEnglish
- Number of pages222
Other Popular Editions of the Same Title
Search results for Contributions to the Founding of the Theory of Transfinite...
Stock Image
Contributions to the Founding of the Theory of Transfinite Numbers
Seller: Buchpark, Maidenhead, Berkshire, United Kingdom
Seller rating 4 out of 5 stars
Condition: Fine. Condition: Fine | Pages: 222 | Language: English | Product Type: Books. Seller Inventory # 10189040/22
Quantity: 1 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 12066482-n
Quantity: Over 20 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Seller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 12066482
Quantity: Over 20 available
Stock Image
CONTRIBUTIONS TO THE FOUNDING (English)
Print on DemandSeller: Brook Bookstore On Demand, Napoli, NA, Italy
Seller rating 5 out of 5 stars
Condition: new. Questo è un articolo print on demand. Seller Inventory # KQAEPADOVY
Quantity: Over 20 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers (Paperback or Softback)
Seller: BargainBookStores, Grand Rapids, MI, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Contributions to the Founding of the Theory of Transfinite Numbers (Paperback or Softback) 0.73. Seller Inventory # BBS-9781891396533
Quantity: 5 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition. Seller Inventory # 12066482
Quantity: Over 20 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Seller: GreatBookPrices, Columbia, MD, U.S.A.
Seller rating 5 out of 5 stars
Condition: New. Seller Inventory # 12066482-n
Quantity: Over 20 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Print on DemandSeller: AHA-BUCH GmbH, Einbeck, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - 2010 Reprint of 1915 Edition. Georg Ferdinand Ludwig Philipp Cantor was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of one-to-one correspondence between sets, defined infinite and well-ordered sets, and proved that the real numbers are 'more numerous' than the natural numbers. In fact, Cantor's theorem implies the existence of an 'infinity of infinities'. He defined the cardinal and ordinal numbers and their arithmetic. Cantor's work is of great philosophical interest, a fact of which he was well aware. In 1895-97 Cantor fully propounded his view of continuity and the infinite, including infinite ordinals and cardinals, in his best known work, Contributions to the Founding of the Theory of Transfinite Numbers . This work contains his conception of transfinite numbers, to which he was led by his demonstration that an infinite set may be placed in a one-to-one correspondence with one of its subsets. Seller Inventory # 9781891396533
Quantity: 1 available
Seller Image
Contributions to the Founding of the Theory of Transfinite Numbers
Print on DemandSeller: moluna, Greven, Germany
Seller rating 5 out of 5 stars
Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Klappentextrnrn2010 Reprint of 1915 Edition. Georg Ferdinand Ludwig Philipp Cantor was a German mathematician, best known as the inventor of set theory, which has become a fundamental theory in mathematics. Cantor established the importance of o. Seller Inventory # 4292453
Quantity: Over 20 available