An Introduction to Abstract Mathematics

by Bond, Robert J.; Keane, William J.

• ISBN13: 9780534950507
• ISBN10: 0534950507
• Additional ISBN(s): 9780495416708
• Edition: 1st
• Format: Paperback
• Copyright: 1999-01-08
• Publisher: Brooks Cole
• More Book Details

Summary

The goal of this book is to show students how mathematicians think and to glimpse some of the fascinating things they think about. Bond and Keane develop students' ability to do abstract mathematics by teaching the form of mathematics in the context of real and elementary mathematics. Students learn the fundamentals of mathematical logic; how to read and understand definitions, theorems, and proofs; and how to assimilate abstract ideas and communicate them in written form. Students will learn to write mathematical proofs coherently and correctly.

Table of Contents

Preface for the Instructor

Introduction to the Student

1. Mathematical Reasoning

2. Sets

3. Functions

4. Binary Operations and Relations

5. The Integers

6. Infinite Sets

7. The Real and Complex Numbers

8. Polynomials

Answers and Hints to Selected Exercises

Index