- How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
A very readable and engaging book for an introductory course in proofs. Inexpensive enough for a student to purchase as a supplement to a theoretical math course.
- An Introduction to Mathematical Reasoning
Another fine text or supplement on introduction to proofs. A bit more formal than Houston's, but very readable. I've used both texts (in different semesters). Cambridge University Press provides affordable, and well-written, alternatives to advanced textbook offerings from the big 3 publishers in the US.
- Creative Mathematics. H.S. Wall (Classroom Resource Materials) (Mathematical Association of America Textbooks)
A fine supplement to help guide students through the process of thinking mathematically. Has a place in a math teacher education program or for in-service training. Also great for the independent student.
Recommended books
A list of books that I would recommend for use in math courses or for supplementary reading.
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