Set Theory - A First Course (Hardcover)

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.

General

Imprint:	Cambridge UniversityPress
Country of origin:	United Kingdom
Series:	Cambridge Mathematical Textbooks
Release date:	July 2016
Authors:	Daniel W. Cunningham
Dimensions:	235 x 157 x 20mm (L x W x T)
Format:	Hardcover
Pages:	262
ISBN-13:	978-1-107-12032-7
Categories:	Books > Science & Mathematics > Mathematics > Mathematical foundations > Set theory
LSN:	1-107-12032-2
Barcode:	9781107120327

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