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A Course on Set Theory

  • Date Published: July 2011
  • availability: In stock
  • format: Paperback
  • isbn: 9781107400481

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  • 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.

    • Exercises have been tried and tested by the author in undergraduate classes
    • Self-contained presentation is suitable for a one-quarter or one-semester course
    • Opens up the field to students from diverse backgrounds, including computer science, physics, biology, economics and philosophy
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    Product details

    • Date Published: July 2011
    • format: Paperback
    • isbn: 9781107400481
    • length: 178 pages
    • dimensions: 228 x 152 x 10 mm
    • weight: 0.27kg
    • contains: 10 b/w illus. 100 exercises
    • availability: In stock
  • Table of Contents

    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.

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    A Course on Set Theory

    Ernest Schimmerling

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  • Instructors have used or reviewed this title for the following courses

    • Discovering Infinity
    • Set Theory
  • Author

    Ernest Schimmerling, Carnegie Mellon University, Pennsylvania
    Ernest Schimmerling is a Professor of Mathematical Sciences at Carnegie Mellon University.

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