Some References for Abstract Math

The following list of texts may be of help as they cover the same material as our text with a slightly different viewpoint. You can borrow any of these from me. The newer books on this list have publication dates.

Ash, A Primer of Abstract Mathematics, MAA

Avelsgaard, Foundations for Advanced Mathematics (Out of Print)

This text has been used in the past for this course.

Barnier and Feldman, Introduction to Advanced Mathematics, (2nd Ed.), Prentice Hall, 2000

Bond, Introduction to Abstract Mathematics, Brooks/Cole

Cupillari, The Nuts and Bolts of Proofs, Wadsworth

A small paperback with no frills.

D'Angelo and West, Mathematical Thinking: Problem Solving and Proofs, (2nd Ed.), Prentice Hall, 2000

Lots of nice exercises ... was a contender for our text.

Devlin, Sets, Functions, and Logic: An Introduction to Abstract Mathematics (3rd Ed.), Chapman & Hall/ CRC Press, 2004

I really like this book. It is well written and a serious possible replacement for our text.

Iglewicz and Stoyle, An Introduction to Mathematical Reasoning, MacMillan

Fletcher and Patty, Foundations of Higher Mathematics, PWS-Kent

This text has also been used in the past for this course.

Gilbert and Vanstone, An Introduction to Mathematical Thinking, Pearson Prentice-Hall, 2005 (New Book)

Lay, Analysis with an introduction to Proof, (3rd Ed.), Prentice Hall, 2001

Maddox, Mathematical Thinking and Writing, Harcourt/Academic Press, 2002

Morash, Bridge to Abstract Mathematics, Random House

O'Leary, The Structure of Proof: With Logic and Set Theory, Prentice-Hall, 2003

Schumacher, Chapter Zero: Fundamental Notions of Abstract Mathematics, Addison-Wesley, 1996.

Smith, Eggen, St. Andre, A Transition to Advanced Mathematics, (6th Ed.), Thomson (Brooks/Cole), 2006

Former text used in this course. You'd think they'd be able to get it right after the third edition ... but I guess not.

Sundstrom, Mathematical Reasoning: Writing and Proof, Prentice-Hall 2003

Wolf, Proof, Logic and Conjecture: A Mathematician's Toolbox, Freeman, 1998

I like this book since it seriously deals with logic. Check out the blurb on the back cover.