**An Introduction to Mathematical Reasoning**

by Peter J. Eccles

**Publisher**: Cambridge University Press 2007**ISBN/ASIN**: B00AKE1PT6**Number of pages**: 364

**Description**:

The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. This is achieved by exploring set theory, combinatorics and number theory, topics which include many fundamental ideas which are part of the tool kit of any mathematician.

Download or read it online for free here:

**Download link**

(multiple PDF files)

## Similar books

**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.

(

**19248**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.

(

**11629**views)

**A Gentle Introduction to the Art of Mathematics**

by

**Joseph Fields**-

**Southern Connecticut State University**

The point of this book is to help you with the transition from doing math at an elementary level (concerned mostly with solving problems) to doing math at an advanced level (which is much more concerned with axiomatic systems and proving statements).

(

**18208**views)

**Book of Proof**

by

**Richard Hammack**-

**Virginia Commonwealth University**

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.

(

**39857**views)