The Higher Infinite: Large Cardinals in Set Theory from Their Beginnings (Springer Monographs in Mathematics)
| Author | : | |
| Rating | : | 4.89 (564 Votes) |
| Asin | : | 3540888667 |
| Format Type | : | paperback |
| Number of Pages | : | 538 Pages |
| Publish Date | : | 2014-11-11 |
| Language | : | English |
DESCRIPTION:
"The exposition is intelligent and well-paced;as a source book it is a compendium of references, well indexed, and it will become literally the reference book, a Baedeker, for the enquiring student of the subject. It should therefore be on every University Librarys mathematical shelf." Proceedings of the Edinburgh Mathematical Society
This softcover reprint of a popular reference provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research.
a well written book with many omissions A Customer This book deals with large cardinals and their connection with the axiom of determinacy. The author put a lot of thought into presenting an important part of set theory in a very well written form. The disappointment comes with what is not written. The book fails short of presenting the current state of the art in the field of large cardinals, or even presenting material which has been known for quite a while. Particularly thin is the presentation of forcing. Combinatorial set theory does not figure . Paul Corazza said The most up-to-date, well-written large cardinal reference. This book is for set theorists, budding set theorists, and mathematicians with an avid interest in large cardinal theory.Kanamori's book updates and for the most part replaces his two earlier well-known surveys that he co-authored with Magidor, Reinhardt, and Solovay. While most of that earlier material does appear in this new book, he also includes recent developments in those same areas as well as a great deal of new material that emerged in the 1980s (most notably, the profound connection between . Adam D. Booth said Excellent as a follow-up to Kunen. I'm a graduate student in set theory and I'm finding Kanamori an excellent follow-up to Kunen. The book manages to combine detailed technical exposition with historical insight which is actually useful to understanding the material (not just a list of dates) and gives one a "feel" for the subject.Occasional excersises are contained which are good to help check if you're keeping up (though sometimes the hints are a little too complete: it might be better if these were relegated to an appendix). More e