Fundamental Concepts of Mathematics

✍ Scribed by Reuben Louis Goodstein

• Publisher: Pergamon Pr
• Year: 1978
• Tongue: English
• Leaves: 327
• Series: Pure & Applied Mathematics Monograph
• Edition: 2
• Category: Library

✦ Synopsis

Fundamental Concepts of Mathematics, 2nd Edition provides an account of some basic concepts in modern mathematics.
The book is primarily intended for mathematics teachers and lay people who wants to improve their skills in mathematics. Among the concepts and problems presented in the book include the determination of which integral polynomials have integral solutions; sentence logic and informal set theory; and why four colors is enough to color a map. Unlike in the first edition, the second edition provides detailed solutions to exercises contained in the text.
Mathematics teachers and people who want to gain a thorough understanding of the fundamental concepts of mathematics will find this book a good reference.

✦ Table of Contents

Content:
Other titles of interest, Page ii
NOTICE TO READERS, Page ii
Front Matter, Page iii
Copyright, Page iv
PREFACE TO THE SECOND EDITION, Page v
PREFACE, Page vi
CHAPTER 1 - NUMBERS FOR COUNTING, Pages 1-92
CHAPTER 2 - NUMBERS FOR PROFIT AND LOSS AND NUMBERS FOR SHARING, Pages 93-139
CHAPTER 3 - NUMBERS UNENDING, Pages 140-229
CHAPTER 4 - SETS AND TRUTH FUNCTIONS, Pages 230-275
CHAPTER 5 - NETWORKS AND MAPS, Pages 276-311
CHAPTER 6 - AXIOMATIC THEORY OF SETS, Pages 312-315
INDEX, Pages 317-319
OTHER TITLES IN THE SERIES IN PURE AND APPLIED MATHEMATICS, Pages 321-323