A Course on Set Theory
1st Edition
Published on 18. December 2011
978-1-139-09840-3 (ISBN)
Description
Set theory is the mathematics of infinity and part of the core curriculum for mathematics majors. This book blends theory and connections with other parts of mathematics so that readers can understand the place of set theory within the wider context. Beginning with the theoretical fundamentals, the author proceeds to illustrate applications to topology, analysis and combinatorics, as well as to pure set theory. Concepts such as Boolean algebras, trees, games, dense linear orderings, ideals, filters and club and stationary sets are also developed. Pitched specifically at undergraduate students, the approach is neither esoteric nor encyclopedic. The author, an experienced instructor, includes motivating examples and over 100 exercises designed for homework assignments, reviews and exams. It is appropriate for undergraduates as a course textbook or for self-study. Graduate students and researchers will also find it useful as a refresher or to solidify their understanding of basic set theory.
More details
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
College/higher education
Illustrations
Worked examples or Exercises; 10 Line drawings, unspecified
File size
3,36 MB
ISBN-13
978-1-139-09840-3 (9781139098403)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
Ernest Schimmerling
A Course on Set Theory
Book
07/2011
Cambridge University Press
€149.60
Shipment within 15-20 days
Person
Ernest Schimmerling is a Professor of Mathematical Sciences at Carnegie Mellon University.
Content
Note to the instructor; Acknowledgments; 1. Preliminaries; 2. ZFC; 3. Order; 4. Cardinality; 5. Trees; 6. Dense linear orderings; 7. Filters and ideals; Appendix. Summary of exercises on Boolean algebra; Index.
