Set Theory - A First Course

Informationen zum Autor 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. Klappentext Set theory can be considered a unifying theory for mathematics. This book covers the fundamentals of the subject. Zusammenfassung 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. Inhaltsverzeichnis 1. Introduction; 2. Basic set building axioms and operations; 3. Relations and functions; 4. The natural numbers; 5. On the size of sets; 6. Transfinite recursion; 7. The axiom of choice (revisited); 8. Ordinals; 9. Cardinals.

Product details

• Authors: Daniel W. Cunningham, Daniel W. (State University of New Yor Cunningham, Cunningham Daniel W.
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 18.07.2016
• EAN: 9781107120327
• ISBN: 978-1-107-12032-7
• No. of pages: 262
• Series: Cambridge mathematical textbooks; Cambridge Mathematical Textbooks
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Basic principles; MATHEMATICS / Set Theory, Set theory