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A Gentle Introduction to the Art of Mathematics Joseph Fields

By: Contributor(s): Material type: TextTextSeries: Open textbook libraryDistributor: Minneapolis, MN Open Textbook LibraryPublisher: [Place of publication not identified] A.T. Still University [2015]Copyright date: ©2015Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
Subject(s): LOC classification:
  • QA1
  • QA37.3
Online resources:
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
Subject: 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.
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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

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.

Free Documentation License (GNU)

In English.

Description based on print resource

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