Set Theory (Cambridge Mathematical Textbooks) (Hardcover)

Set Theory (Cambridge Mathematical Textbooks) By Daniel W. Cunningham Cover Image

Set Theory (Cambridge Mathematical Textbooks) (Hardcover)

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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.
Product Details ISBN: 9781107120327
ISBN-10: 1107120322
Publisher: Cambridge University Press
Publication Date: July 28th, 2016
Pages: 262
Language: English
Series: Cambridge Mathematical Textbooks