ISBN: 9780486458069 - the number system (dover books on mathematics) (8 Ergebnisse)

Paperback. Zustand: Very Good. The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development.This volume's great merit lies in its wealth of explanatory material, designed to promote an informal and intuitive understanding of the rigorous logical approach to the number system. The first part explains and comments on axioms and definitions, making their subsequent treatment more coherent. The second part presents a detailed, systematic construction of the number systems of rational, real, and complex numbers. It covers whole numbers, hemigroups and groups, integers, ordered fields, the order relation for rationals, exponentiation, and real and complex numbers. Every step is justified by a reference to the appropriate theorem or lemma. Exercises following each chapter in Part I help readers test their progress and provide practice in using the relevant concepts.…

Paperback. Zustand: Good. The teaching of mathematics has undergone extensive changes in approach, with a shift in emphasis from rote memorization to acquiring an understanding of the logical foundations and methodology of problem solving. This book offers guidance in that direction, exploring arithmetic's underlying concepts and their logical development.This volume's great merit lies in its wealth of explanatory material, designed to promote an informal and intuitive understanding of the rigorous logical approach to the number system. The first part explains and comments on axioms and definitions, making their subsequent treatment more coherent. The second part presents a detailed, systematic construction of the number systems of rational, real, and complex numbers. It covers whole numbers, hemigroups and groups, integers, ordered fields, the order relation for rationals, exponentiation, and real and complex numbers. Every step is justified by a reference to the appropriate theorem or lemma. Exercises following each chapter in Part I help readers test their progress and provide practice in using the relevant concepts.…

paperback. Zustand: Very Good. May have light to moderate shelf wear and/or a remainder mark. Complete. Clean pages.

Zustand: New. pp. viii + 134 Illus.

Paperback. Zustand: Brand New. dover ed edition. 131 pages. 8.25x5.25x0.50 inches. In Stock.

Zustand: As New. Unread book in perfect condition.

Taschenbuch. Zustand: Neu. Neuware - This book explores arithmetic's underlying concepts and their logical development, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. 1956 edition.

Zustand: New. InhaltsverzeichnisrnrnPart I: Explanatory Treatmentn1. Countingn2. Whole Numbersn3. The Laws of Arithmeticn4. Fractionsn5. Negative Numbersn6. Fieldsn7. Irrational Numbersn8. Powersn9. Complex Numbersn10. Verification of the Axiomsn11. Alternati.