A Gentle Introduction to the Art of Mathematics
Joseph Fields, Southern Connecticut State University
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Conditions of Use
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.