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# Library Catalogue

# Sets, functions, and logic: an introduction to abstract mathematics

## Details

## Contents

Catalogue
Sets, functions, and logic: an introduction to abstract...

Since its first publication in 1981, this text has smoothed the road to higher mathematics for legions of undergraduate students. Now in its third edition, the author has fully revised his text to reflect the needs of a new generation

Hardback, Book.
English.

3rd ed.

All formats and editions (3)
Published
Boca Raton, Fla.: Chapman & Hall/CRC, c2004

Available on the shelf at Aldrich.

Statement of responsibility: Keith Devlin

Copyright: 2004

ISBN: 1584884495, 9781584884491

Intended audience: Specialized.

Note:
Includes index.

Physical Description:
x, 143 p. : ill. ; 25 cm.

Series:
Chapman & Hall/CRC mathematics

Subject:
Mathematics.

- 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