Gentle Introduction to the Art of Mathematics

Format:

Book

Author/Creator:

Fields, Joseph E., author.

Language:

English

Subjects (All):

Mathematics--Textbooks.

Mathematics.

Physical Description:

1 online resource

Place of Publication:

[Place of publication not identified] A.T. Still University [2015]

Language Note:

In English.

Summary:

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.

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

Notes:

CC BY-SA

Description based on print resource

OCLC:

1000337030