Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. Join them; it only takes a minute:

Sign up
Here's how it works:
  1. Anybody can ask a question
  2. Anybody can answer
  3. The best answers are voted up and rise to the top

I am looking for exercises on functions which deal with one to one, onto, everywhere defined, inverse functions. Can anyone suggest me a book or source from the internet where I can find such problems.


share|cite|improve this question
Most undergraduate real analysis and abstract algebra texts have problems like that in their chapters on foundations, fahad. Try Herstien's TOPICS IN ALGEBRA and Apostol's MATHEMATICAL ANALYSIS to start. And there are great problems on this in Paul Halmos' NAIVE SET THEORY.too. – Mathemagician1234 Sep 11 '11 at 7:24

Any good introductory book in mathematics should cover this material, although I don't know of any resources where this is the primary focus. One excellent book that includes material on functions in the first chapter is Munkres' Topology, but it goes on to a lot of other topics that may not be relevant to you.

A good resource may be the Wikipedia pages on functions, and on bijection/injection/surjection.

share|cite|improve this answer

Your Answer


By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.