This reprint of the original 1914 edition of this famous work contains many topics that had to be omitted from later editions, notably, Symmetric Sets, Principle of Duality, most of the ``Algebra'' of Sets, Partially Ordered Sets, Arbitrary Sets of Complexes, Normal Types, Initial and Final Ordering, Complexes of Real Numbers, General Topological Spaces, Euclidean Spaces, the Special Methods Applicable in the Euclidean Plane, Jordan's Separation Theorem, the Theory of Content and Measure, the Theory of the Lebesgue Integral. The text is in German.
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A seminal set theory-topology text,
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This review is from: Grundzuge der Mengenlehre (AMS Chelsea Publishing) (Hardcover)
This book (never translated into English) is of great historical significance. It is still worthy of study. Hausdorff was a leader in the second wave of set theory (post Cantor) and a founder of point-set topology. In his hands set theory became a tool for the working mathematician. This book still has the power to stir the mathematical heart. Even a jaded modern reader can learn much from it. There are many wonderful mathematical "set pieces"---a personal favorite is the continued fraction expansion of a pair of countable ordinals. The writing is concise, but not without touches of Hausdorff's literary polish.
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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