| Ordered Sets Contributor(s): Harzheim, Egbert (Author) |
|
 |
ISBN: 1441937048 ISBN-13: 9781441937049 Publisher: Springer OUR PRICE: $123.49 Product Type: Paperback - Other Formats Published: December 2010 |
| Additional Information |
| BISAC Categories: - Mathematics | Algebra - General - Mathematics | Algebra - Abstract - Mathematics | Logic |
| Dewey: 511.32 |
| Series: Advances in Mathematics |
| Physical Information: 0.82" H x 6.14" W x 9.21" (1.23 lbs) 386 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book is written particularly for mathematics students and, of course, for mathematicians interested in set theory. Only some fun- mental parts of naive set theory are presupposed, - not more than is treated in a textbook on set theory, even if this restricts us only to the most basic facts of this field. We have summarized all of this in Chapter 0 without longer discusssions and explanations, because there are s- eral textbooks which can be consulted by the reader, e.g. HrbacekIJech 88], KneeboneIRotman 99], ShenIVereshchagin 159]. Besides this only elementary facts of analysis are used. The theory of ordered sets can be divided into two parts, depending on whether the sets under consideration are finite or infinite. The first part is grounded mainly in combinatorics and graph theory and does not make essential use of set-theorical concepts, whereas the second part presupposes a knowledge of the fundamental notions of set theory, in particular of the system of ordinal and cardinal numbers. In this book we mainly deal with general infinite ordered sets. In this field the textbook literature is still very small. Therefore this book supplements the existing literature. |