Sets, Functions, and Logic / Edition 3

Sets, Functions, and Logic / Edition 3

by Keith Devlin
     
 

ISBN-10: 1584884495

ISBN-13: 9781584884491

Pub. Date: 11/25/2003

Publisher: Taylor & Francis

Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate

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Overview

Keith Devlin. You know him. You've read his columns in MAA Online, you've heard him on the radio, and you've seen his popular mathematics books. In between all those activities and his own research, he's been hard at work revising Sets, Functions and Logic, his standard-setting text that has smoothed the road to pure mathematics for legions of undergraduate students. Now in its third edition, Devlin has fully reworked the book to reflect a new generation. The narrative is more lively and less textbook-like. Remarks and asides link the topics presented to the real world of students' experience. The chapter on complex numbers and the discussion of formal symbolic logic are gone in favor of more exercises, and a new introductory chapter on the nature of mathematics—one that motivates readers and sets the stage for the challenges that lie ahead. Students crossing the bridge from calculus to higher mathematics need and deserve all the help they can get. Sets, Functions, and Logic, Third Edition is an affordable little book that all of your transition-course students not only can afford, but will actually read.and enjoy.and learn from.

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Product Details

ISBN-13:
9781584884491
Publisher:
Taylor & Francis
Publication date:
11/25/2003
Series:
Chapman Hall/CRC Mathematics Series
Edition description:
REV
Pages:
160
Product dimensions:
6.30(w) x 9.30(h) x 0.50(d)

Table of Contents

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

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