Sets, Functions, Measures Volume I: Fundamentals of Set and Number Theory
This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for re...
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| Format: | eBook |
| Language: | English |
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Berlin ; Boston
De Gruyter
2018, ©2018
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| Series: | De Gruyter Studies in Mathematics
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| Collection: | DeGruyter MPG Collection - Collection details see MPG.ReNa |
| Summary: | This comprehensive two-volume work is devoted to the most general beginnings of mathematics. It goes back to Hausdorff’s classic Set Theory (2nd ed., 1927), where set theory and the theory of functions were expounded as the fundamental parts of mathematics in such a way that there was no need for references to other sources. Along the lines of Hausdorff’s initial work (1st ed., 1914), measure and integration theory is also included here as the third fundamental part of contemporary mathematics.The material about sets and numbers is placed in Volume 1 and the material about functions and measures is placed in Volume 2. "This set of two volumes evinces serious scholarship, and appears to do precisely what the authors set out to do, in homage to what Hausdorff did a century ago. It is a very valuable piece of work." Michael Berg in: MAA (09.2018), https://www.maa.org/press/maareviews/ sets-functions-measures-volume-1-fundamentals-of-set-and-numbertheory |
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| Physical Description: | XVIII, 428 Seiten |
| ISBN: | 978-3-11-055094-8 978-3-11-055021-4 |