Sets, Functions, and Logic An Introduction to Abstract Mathematics

ISBN-10: 1584884495
ISBN-13: 9781584884491
Edition: 3rd 2003 (Revised)
Authors: Keith J. Devlin
List price: $69.95
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Description: Since its first edition published in 1981, Set, Function and Logic has smoothed the road to higher mathematics for legions of undergraduate students. Now in its third edition, the author--a leading popularizer of mathematics -- has fully revised his  More...

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Book details

List price: $69.95
Edition: 3rd
Copyright year: 2003
Publisher: CRC Press LLC
Publication date: 11/24/2003
Binding: Paperback
Pages: 160
Size: 6.25" wide x 9.25" long x 0.50" tall
Weight: 0.748

Since its first edition published in 1981, Set, Function and Logic has smoothed the road to higher mathematics for legions of undergraduate students. Now in its third edition, the author--a leading popularizer of mathematics -- has fully revised his text to reflect a new generation. The narrative is more lively, less textbook-like. Remarks and asides link the various topics to the real world. The chapter on complex numbers and discussion of formal symbolic logic is gone in favor of a new introductory chapter on the nature of mathematics and more exercises. The result is an affordable, thoroughly engaging book that every student making the transition from calculus to higher mathematics will welcome.

Born in England in 1947 and living in America since 1987, Keith Devlin has written more than 20 books and numerous research articles on various elements of mathematics. From 1983 to 1989, he wrote a column on for the Manchester (England) Guardian. The collected columns are published in All the Math That's Fit to Print (1994) and cover a wide range of topics from calculating travel expenses to calculating pi. His book Logic and Information (1991) is an introduction to situation theory and situation semantics for mathematicians. Co-author of the PBS Nova episode "A Mathematical Mystery Tour," he is also the author of Devlin's Angle, a column on the Mathematical Association of America's electronic journal. Devlin lives in California, where he is dean of the school of science at Saint Mary's College in Morgana. He is currently studying the use of mathematics to analyze communication and information flow in the workplace.

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 Stuff 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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