| Fundamentals of Set and Number Theory Contributor(s): Zakharov, Valeriy K. (Author), Rodionov, Timofey V. (Author) |
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ISBN: 3110550083 ISBN-13: 9783110550085 Publisher: de Gruyter OUR PRICE: $167.19 Product Type: Hardcover - Other Formats Published: February 2018 |
| Additional Information |
| BISAC Categories: - Mathematics | Set Theory - Mathematics | Logic - Mathematics | Mathematical Analysis |
| Series: de Gruyter Studies in Mathematics |
| Physical Information: 1" H x 6.69" W x 9.61" (2.00 lbs) 446 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: 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. Contents Fundamentals of the theory of classes, sets, and numbers Characterization of all natural models of Neumann - Bernays - Godel and Zermelo - Fraenkel set theories Local theory of sets as a foundation for category theory and its connection with the Zermelo - Fraenkel set theory Compactness theorem for generalized second-order language |
Contributor Bio(s): Zakharov, Valeriy K.: - Timofey V. Rodionov and Valeriy K. Zakharov, Lomonosov Moscow State University, Russia. |