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 work, Grundzuge der Mengenlehre, and its English translation, Set Theory, as Volume 69 and Volume 119 in the AMS Chelsea Publishing series. Information for our distributors: Copublished with the London Mathematical Society. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners.

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**Descrizione libro **American Mathematical Society, 2005. Paperback. Condizione libro: New. Brand new. We distribute directly for the publisher. 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.This volume is one of an informal sequence of works within the History of Mathematics series. Volumes in this subset, "Sources", are classical mathematical works that served as cornerstones for modern mathematical thought.Also available from the AMS by Felix Hausdorff are the classic works, Grundzüge der Mengenlehre (Volume 61) and Set Theory (Volume 119), in the AMS Chelsea Publishing series.Co-published with the London Mathematical Society beginning with Volume 4. Members of the LMS may order directly from the AMS at the AMS member price. The LMS is registered with the Charity Commissioners. Codice libro della libreria 1005130017

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**Descrizione libro **American Mathematical Society. Paperback. Condizione libro: new. BRAND NEW, Hausdorff on Ordered Sets (Illustrated edition), J. M. Plotkin, 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 B9780821837887

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**Descrizione libro **American Mathematical Society, United States, 2005. Paperback. Condizione libro: New. Illustrated edition. 254 x 175 mm. 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, United States, 2005. Paperback. Condizione libro: New. Illustrated edition. 254 x 175 mm. 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: New. book. Codice libro della libreria 0821837885

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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 **2005. Paperback. Condizione libro: New. Illustrated edition. 176mm x 252mm x. Paperback. Contains translations of some of historically significant works in set theory, model theory, analysis and algebra. This book is suitable for graduate students and researchers.Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. 322 pages. 0.620. Codice libro della libreria 9780821837887

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