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> Set Theory

Set Theory A First Course

Authors

Daniel W. Cunningham , State University of New York, Buffalo
Published 2016

Description

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…

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Key features

  • Accessible to students without a background in logic and logical notation
  • Clear, detailed proofs written for students who are still learning how to compose a proof
  • Usable by instructors who are not experts in axiomatic set theory

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