**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

**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.

(

**8649**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.

(

**7586**views)

**Fundamental Concepts of Mathematics**

by

**Farshid Hajir**-

**University of Massachusetts**

Problem Solving, Inductive vs. Deductive Reasoning, An introduction to Proofs; Logic and Sets; Sets and Maps; Counting Principles and Finite Sets; Relations and Partitions; Induction; Number Theory; Counting and Uncountability; Complex Numbers.

(

**13811**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).

(

**13425**views)