Textbook: The Foundations of Mathematics
by Ian Stewart and David Tall, Oxford.
Available from
Amazon for about $50.
Highly recommended:
What Is Mathematics? (Oxford Paperbacks) by Richard Courant, Herbert Robbins, Ian Stewart.
Available fom
Amazon for $15.
Typical textbooks used for that type of course
Douglas Smith, Maurice Eggen, Richard St. Andre:
A Transition to Advanced Mathematics,
345 pages, Brooks Cole (5 ed 2001) $110.
Gary Chartrand, Albert D. Polimeni, Ping Zhang:
Mathematical Proofs : A Transition to Advanced Mathematics,
304 pages, Addison Wesley; (1st ed, 2002) $105.
Antonella Cupillari:
The Nuts and Bolts of Proofs,
149 pages, Academic Press (2 ed, 2001), $32
Ethan D. Bloch:
Proofs and Fundamentals: A First Course in Abstract Mathematics,
424 pages, Birkhauser Boston (2000), $43.
Howard Eves:
Foundations and Fundamental Concepts of Mathematics
344 pages, Dover (3rd ed, 1997), $12.
Ian Stewart
Concepts of Modern Mathematics
339 pages, Dover 1995, $10