**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

**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.

(

**8400**views)

**A Introduction to Proofs and the Mathematical Vernacular**

by

**Martin Day**-

**Virginia Tech**

The book helps students make the transition from freshman-sophomore calculus to more proof-oriented upper-level mathematics courses. Another goal is to train students to read more involved proofs they may encounter in textbooks and journal articles.

(

**16454**views)

**How To Write Proofs**

by

**Larry W. Cusick**-

**California State University, Fresno**

Proofs are the heart of mathematics. What is the secret? The short answer is: there is no secret, no mystery, no magic. All that is needed is some common sense and a basic understanding of a few trusted and easy to understand techniques.

(

**6965**views)

**An Introduction to Mathematical Reasoning**

by

**Peter J. Eccles**-

**Cambridge University Press**

This book introduces basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory.

(

**4873**views)