Item type | Current location | Call number | Status | Date due | Barcode |
---|---|---|---|---|---|
Books | 511.322 CUN (Browse shelf) | Available | 034384 |
511.322 CAM Sets, logic and categories | 511.322 CAN Set theory for computing | 511.322 COH Set theory and the continuum hypothesis | 511.322 CUN Set theory : a first course | 511.322 DEV Joy of Sets | 511.322 ELL Is that a big number? | 511.322 FAT Mathematics of infinity : a guide to great ideas |
Includes bibliographical references and indexes.
Set theory is a rich and beautiful subject whose fundamental concepts permeate virtually every branch of mathematics. One could say that set theory is a unifying theory for mathematics, since nearly all mathematical concepts and results can be formalized within set theory. This textbook is meant for an upper undergraduate course in set theory. In this text, the fundamentals of abstract sets, including relations, functions, the natural numbers, order, cardinality, transfinite recursion, the axiom of choice, ordinal numbers, and cardinal numbers, are developed within the framework of axiomatic set theory. The reader will need to be comfortable reading and writing mathematical proofs. The proofs in this textbook are rigorous, clear, and complete, while remaining accessible to undergraduates who are new to upper-level mathematics. Exercises are included at the end of each section in a chapter, with useful suggestions for the more challenging exercises.
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