**Proofs and Concepts: the fundamentals of abstract mathematics**

by Dave Witte Morris, Joy Morris

**Publisher**: University of Lethbridge 2009**Number of pages**: 220

**Description**:

This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.

Download or read it online for free here:

**Download link**

(1.8MB, PDF)

## Similar books

**Proofs in Mathematics**

by

**Alexander Bogomolny**-

**Interactive Mathematics Miscellany and Puzzles**

I'll distinguish between two broad categories. The first is characterized by simplicity. In the second group the proofs will be selected mainly for their charm. Most of the proofs in this book should be accessible to a middle grade school student.

(

**7060**views)

**Basic Concepts of Mathematics**

by

**Elias Zakon**-

**The Trillia Group**

The book will help students complete the transition from purely manipulative to rigorous mathematics. It covers basic set theory, induction, quantifiers, functions and relations, equivalence relations, properties of the real numbers, fields, etc.

(

**9785**views)

**Mathematical Reasoning: Writing and Proof**

by

**Ted Sundstrom**-

**Pearson Education, Inc.**

'Mathematical Reasoning' is designed to be a text for the first course in the college mathematics curriculum that introduces students to the processes of constructing and writing proofs and focuses on the formal development of mathematics.

(

**7140**views)

**An Inquiry-Based Introduction to Proofs**

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.

(

**4644**views)