Set Theory: A First Course (Cambridge Mathematical Textbooks)

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 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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EAN: 9781107120327

UPC: 9781107120327

ISBN: 9781107120327

MPN: N/A

Book Title: Set Theory: A First Course (Cambridge Mathematical

Number of Pages: 262 Pages

Publication Name: Set Theory : a First Course

Language: English

Publisher: Cambridge University Press

Item Height: 0.8 in

Publication Year: 2016

Subject: Logic, Set Theory

Item Weight: 18 Oz

Type: Textbook

Subject Area: Mathematics

Item Length: 9.3 in

Author: Daniel W. Cunningham

Item Width: 6.2 in

Series: Cambridge Mathematical Textbooks Ser.

Format: Hardcover