Read more about A Gentle Introduction to the Art of Mathematics

A Gentle Introduction to the Art of Mathematics

(1 review)

Joseph E. Fields, Southern Connecticut State University

Copyright Year: 2015

Publisher: Joe Fields

Language: English

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Free Documentation License (GNU)
Free Documentation License (GNU)


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Reviewed by Abdessamad (samad) Mortabit, Associate Professor, Metropolitan State University on 6/10/15

Given that this course is not well established in the mathematics curriculum generally, it is not appropriate for this reviewer to comment comprehensiveness. However, the topics that were selected by the author were covered in a comprehensive... 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.