A Gentle Introduction to the Art of Mathematics

(1 review)


Joseph Fields, Southern Connecticut State University

Pub Date:

ISBN 13:

Publisher: Independent

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Reviewed by Abdessamad (samad) Mortabit, Associate Professor, Metropolitan State University, on 6/11/2015.

Given that this course is not well established in the mathematics curriculum generally, it is not appropriate for this reviewer to comment … read more


Table of Contents

Chapter 1: Introduction and notation

Chapter 2: Logic and quantifiers 

Chapter 3: Proof techniques I 

Chapter 4: Sets

Chapter 5: Proof techniques II - Induction 

Chapter 6: Relations and functions

Chapter 7: Proof techniques III - Combinatorics 

Chapter 8: Cardinality 

Chapter 9: Proof techniques IV - Magic

About the Book

This book is designed for the transition course between calculus and differential equations and the upper division mathematics courses with an emphasis on proof and abstraction. The book has been used by the author and several other faculty at Southern Connecticut State University. There are nine chapters and more than enough material for a semester course. Student reviews are favorable.

It is written in an informal, conversational style with a large number of interesting examples and exercises, so that a student learns to write proofs while working on engaging problems.

About the Contributors


Joseph E. Fields is a professor at Southern Connecticut State University. Research Interests: Combinatorics, coding theory, and discrete mathematics. Ph.D., University of Illinois at Chicago.