Set Theory

A First Course

Nonfiction, Science & Nature, Mathematics, Set Theory, Logic
Cover of the book Set Theory by Daniel W. Cunningham, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Daniel W. Cunningham ISBN: 9781316681770
Publisher: Cambridge University Press Publication: July 18, 2016
Imprint: Cambridge University Press Language: English
Author: Daniel W. Cunningham
ISBN: 9781316681770
Publisher: Cambridge University Press
Publication: July 18, 2016
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Antigone, Interrupted by Daniel W. Cunningham
Cover of the book A Mathematician's Apology by Daniel W. Cunningham
Cover of the book The Cambridge Handbook of Generative Syntax by Daniel W. Cunningham
Cover of the book Destiny or Chance Revisited by Daniel W. Cunningham
Cover of the book Reading Sartre by Daniel W. Cunningham
Cover of the book Lawyer Barons by Daniel W. Cunningham
Cover of the book Teaching the Arts by Daniel W. Cunningham
Cover of the book Romania Confronts Its Communist Past by Daniel W. Cunningham
Cover of the book How to Integrate It by Daniel W. Cunningham
Cover of the book The Politics of Heresy in Ambrose of Milan by Daniel W. Cunningham
Cover of the book Human Rights in International Relations by Daniel W. Cunningham
Cover of the book Marriage at the Crossroads by Daniel W. Cunningham
Cover of the book A Practical Guide to Experimental Geometrical Optics by Daniel W. Cunningham
Cover of the book Strengthening Electoral Integrity by Daniel W. Cunningham
Cover of the book Twentieth-Century Spain by Daniel W. Cunningham
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy