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 Ocean Sustainability in the 21st Century by Daniel W. Cunningham
Cover of the book Statistical Learning for Biomedical Data by Daniel W. Cunningham
Cover of the book Preventing Black Market Trade in Nuclear Technology by Daniel W. Cunningham
Cover of the book A Student's Manual for A First Course in General Relativity by Daniel W. Cunningham
Cover of the book Self-Making Man by Daniel W. Cunningham
Cover of the book Bodies and Other Objects by Daniel W. Cunningham
Cover of the book The Eucharist in Medieval Canon Law by Daniel W. Cunningham
Cover of the book An Introduction to International Economics by Daniel W. Cunningham
Cover of the book Civil Society and Memory in Postwar Germany by Daniel W. Cunningham
Cover of the book Apuleius' Platonism by Daniel W. Cunningham
Cover of the book YIVO and the Making of Modern Jewish Culture by Daniel W. Cunningham
Cover of the book A Sociology of Transnational Constitutions by Daniel W. Cunningham
Cover of the book Luigi Nono by Daniel W. Cunningham
Cover of the book Small Arms Survey 2015 by Daniel W. Cunningham
Cover of the book State-Directed Development 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