Fundamental Concepts of Mathematics
by Farshid Hajir
Publisher: University of Massachusetts 2005
Number of pages: 69
Contents: Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; (Equivalence) Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.
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by Jim Hefferon - Saint Michael's College
Introduction to Proofs is a Free undergraduate text. It is inquiry-based, sometimes called the Moore method or the discovery method. It consists of a sequence of exercises, statements for students to prove, along with a few definitions and remarks.
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This textbook is an introduction to the standard methods of proving mathematical theorems. It is written for an audience of mathematics majors at Virginia Commonwealth University, and is intended to prepare the students for more advanced courses.
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