A Course on set theory / Ernest Schimmerling
Material type:
- 9781107400481
- 511.322 SCH
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Calcutta | 511.322 SCH (Browse shelf(Opens below)) | Available | IIMC-133007 |
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511.322 POL Rough sets in knowledge discovery 1 : | 511.322 RUB Set theory for the mathematician | 511.322 RUB Equivalents of the axiom of choice / | 511.322 SCH A Course on set theory / | 511.322 SIG Exercises in set theory | 511.322 STO Set theory and logic / | 511.322 SUP Axiomatic set theory |
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 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.
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