You are here

Sets, Functions, and Logic: An Introduction to Abstract Mathematics,

Edition: 
3
Publisher: 
Chapman & Hall/CRC
Number of Pages: 
160
Price: 
58.95
ISBN: 
978-1584884491
Date Received: 
Tuesday, August 23, 2011
Reviewable: 
Yes
Include In BLL Rating: 
Yes
Reviewer Email Address: 
Keith Devlin
Series: 
Chapman Hall/CRC Mathematics Series
Publication Date: 
2003
Format: 
Hardcover
Audience: 
Category: 
General
BLL Rating: 

PREFACE
STUDENTS START HERE
WHAT IS MATHEMATICS AND WHAT DOES IT DO FOR US?
It's Not Just Numbers
Mathematical Notation
Making the Invisible Visible
This is Where You Come In
The Study of Modern Mathematics
MATH SPEAK
The Language of Mathematics: Part 1
Properties of the Language
The Language of Mathematics: Part 2
Properties of Quantification
Proofs in Mathematics
The Integers
Mathematical Truth
SET THEORY
Sets
Operations on Sets
Real Intervals
Absolute Values
Inequalities
Arbitrary Unions and Intersections
Cartesian Products
The Historical Development of Set Theory
FUNCTIONS
The Function Concept
Examples of Functions
History of the Modern Function Concept
One-One and onto Functions
Composition and Inverse Functions
Denumerability
Uncountability
RELATIONS
Binary Relations
Properties of Relations
Relations as Sets of Ordered Pairs
Relations as Graphs
Equivalence Relations
Functions as Relations
An Example: the Reals
Upper Bounds. Completeness
Sequences
No Answers to the Exercises
List of Symbols
Index

Publish Book: 
Modify Date: 
Monday, June 11, 2012

Dummy View - NOT TO BE DELETED