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Synopsis
Set theory can be considered a unifying theory for mathematics. This book covers the fundamentals of the subject.
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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.
"About this title" may belong to another edition of this title.
- PublisherCambridge University Press
- Publication date2016
- ISBN 10 1107120322
- ISBN 13 9781107120327
- BindingHardcover
- LanguageEnglish
- Number of pages262
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Set Theory : A First Course
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Cambridge University Press, 2016
ISBN 10: 1107120322
ISBN 13: 9781107120327
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Set Theory : A First Course
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Set Theory: A First Course
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Set Theory: A First Course (Cambridge Mathematical Textbooks)
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Set Theory (Hardcover)
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Hardcover. Condition: new. 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. Mathematicians have shown that virtually all mathematical concepts and results can be formalized within set theory. This textbook covers the fundamentals of abstract sets and develops these theories within the framework of axiomatic set theory. The proofs presented are rigorous, clear, and suitable for undergraduate and graduate students. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9781107120327
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Set Theory: A First Course
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Set Theory: A First Course (Cambridge Mathematical Textbooks)
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