Hausdorff on Ordered Sets (History of Mathematics,) (History of Mathematics; Sources)

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9780821837887: Hausdorff on Ordered Sets (History of Mathematics,) (History of Mathematics; Sources)

Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor's Continuum Problem and the challenge of well-ordering the real numbers the first problem of his famous lecture at the international congress in Paris. Thus, as the nineteenth century came to a close and the twentieth century began, Cantor's work was finally receiving its due and Hilbert had made one of Cantor's most important conjectures his number one problem. It was time for the second generation of Cantorians to emerge. Foremost among this group were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and developed set theory as a branch of mathematics worthy of study in its own right, capable of supporting both general topology and measure theory. He is recognized as the era's leading Cantorian. Hausdorff published seven articles in set theory during the period 1901-1909, mostly about ordered sets. This volume contains translations of these papers with accompanying introductory essays. They are highly accessible, historically significant works, important not only for set theory, but also for model theory, analysis and algebra. This book is suitable for graduate students and researchers interested in set theory and the history of mathematics.

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Review:

"Merely translating these papers into English would have been a great service to the mathematical community..." -- MAA Reviews, 2005

" [The introductions] plus the occasional editorial footnotes and the bibliography, provide a rich resource." -- Zentralblatt für Mathematik, 2006

"...of great help to anybody interested in the historical and mathematical development of 20th-century set theory and logic." -- Historia Mathematica, 2007 (in press)

"The translations themselves read very smoothly..." -- Mathematical Reviews, 2006

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J. M. Plotkin
Editore: American Mathematical Society, United States (2005)
ISBN 10: 0821837885 ISBN 13: 9780821837887
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Descrizione libro American Mathematical Society, United States, 2005. Paperback. Condizione libro: New. Illustrated edition. Language: English . Brand New Book. Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor s Continuum Problem and the challenge of well-ordering the real numbers the first problem of his famous lecture at the International Congress in Paris. Thus, as the nineteenth century came to a close and the twentieth century began, Cantor s work was finally receiving its due and Hilbert had made one of Cantor s most important conjectures his number one problem.It was time for the second generation of Cantorians to emerge. Foremost among this group were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and developed set theory as a branch of mathematics worthy of study in its own right, capable of supporting both general topology and measure theory. He is recognized as the era s leading Cantorian. Hausdorff published seven articles in set theory during the period 1901-1909, mostly about ordered sets.This volume contains translations of these papers with accompanying introductory essays. They are highly accessible, historically significant works, important not only for set theory, but also for model theory, analysis and algebra. This book is suitable for graduate students and researchers interested in set theory and the history of mathematics. Also available from the AMS by Felix Hausdorff are the classic works, Grundzuge der Mengenlehre (Volume 61) and Set Theory (Volume 119), in the AMS Chelsea Publishing series. Codice libro della libreria AAN9780821837887

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Descrizione libro American Mathematical Society. Paperback. Condizione libro: New. New copy - Usually dispatched within 2 working days. Codice libro della libreria B9780821837887

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J. M. Plotkin
Editore: American Mathematical Society, United States (2005)
ISBN 10: 0821837885 ISBN 13: 9780821837887
Nuovi Paperback Quantità: 1
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Descrizione libro American Mathematical Society, United States, 2005. Paperback. Condizione libro: New. Illustrated edition. Language: English . Brand New Book. Georg Cantor, the founder of set theory, published his last paper on sets in 1897. In 1900, David Hilbert made Cantor s Continuum Problem and the challenge of well-ordering the real numbers the first problem of his famous lecture at the International Congress in Paris. Thus, as the nineteenth century came to a close and the twentieth century began, Cantor s work was finally receiving its due and Hilbert had made one of Cantor s most important conjectures his number one problem.It was time for the second generation of Cantorians to emerge. Foremost among this group were Ernst Zermelo and Felix Hausdorff. Zermelo isolated the Choice Principle, proved that every set could be well-ordered, and axiomatized the concept of set. He became the father of abstract set theory. Hausdorff eschewed foundations and developed set theory as a branch of mathematics worthy of study in its own right, capable of supporting both general topology and measure theory. He is recognized as the era s leading Cantorian. Hausdorff published seven articles in set theory during the period 1901-1909, mostly about ordered sets.This volume contains translations of these papers with accompanying introductory essays. They are highly accessible, historically significant works, important not only for set theory, but also for model theory, analysis and algebra. This book is suitable for graduate students and researchers interested in set theory and the history of mathematics. Also available from the AMS by Felix Hausdorff are the classic works, Grundzuge der Mengenlehre (Volume 61) and Set Theory (Volume 119), in the AMS Chelsea Publishing series. Codice libro della libreria AAN9780821837887

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Descrizione libro American Mathematical Society, 2005. Paperback. Condizione libro: New. Codice libro della libreria DADAX0821837885

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Descrizione libro American Mathematical Society, 2005. Paperback. Condizione libro: Brand New. illustrated edition. 322 pages. 10.00x6.90x0.80 inches. In Stock. Codice libro della libreria __0821837885

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Descrizione libro American Mathematical Society, 2005. Paperback. Condizione libro: New. book. Codice libro della libreria M0821837885

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Descrizione libro American Mathematical Society, 2005. Paperback. Condizione libro: New. Never used!. Codice libro della libreria P110821837885

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