Set Theory: A First Course (Cambridge Mathematical Textbooks) - Hardcover

Book 6 of 23: Cambridge Mathematical Textbooks

Cunningham, Daniel W.

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9781107120327: Set Theory: A First Course (Cambridge Mathematical Textbooks)
Hardcover
ISBN 10: 1107120322 ISBN 13: 9781107120327
Publisher: Cambridge University Press, 2016

Synopsis

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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About the Author

Daniel W. Cunningham is a Professor of Mathematics at State University of New York, Buffalo, specializing in set theory and mathematical logic. He is a member of the Association for Symbolic Logic, the American Mathematical Society, and the Mathematical Association of America. Cunningham's previous work includes A Logical Introduction to Proof, which was published in 2013.

From the Back Cover

"Cunningham's text is highly recommended for mathematicians and undergraduates coming to set theory for the first time. There are many suitable exercises for self-study, as well as for the lecturer to choose from. This volume provides a sure foundation for set theory, and gives a glimpse of the vista to come of the advanced theory." - Philip Welch, University of Bristol

"About this title" may belong to another edition of this title.

Publisher
Cambridge University Press
Publication date
2016
Language
English
ISBN 10 
1107120322
ISBN 13 
9781107120327
Binding
Hardcover
Edition number
1
Number of pages
262
Rating
  • 3.67 out of 5 stars
    9 ratings by Goodreads