Synopsis
The subject of this book is the successive construction and development of the basic number systems of mathematics: positive integers, integers, rational numbers, real numbers and complex numbers. This second edition expands upon the list of suggestions for further reading in Appendix III. From the Preface: 'The present book basically takes for granted the non-constructive set-theoretical foundation of mathematics, which is tacitly if not explicitly accepted by most working mathematicians but which I have since come to reject. Still, whatever one's foundational views, students must be trained in this approach in order to understand modern mathematics. Moreover, most of the material of the present book can be modified so as to be acceptable under alternative constructive and semi-constructive viewpoints, as has been demonstrated in more advanced texts and research articles'.
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The Number Systems Foundations of Algebra and Analysis
Published by
Chelsea Publishing Company, New York, 1989
ISBN 10: 0828403333
ISBN 13: 9780828403337
Used
Hardcover
Seller: Midway Book Store (ABAA), St. Paul, MN, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Near Fine. Second edition. 23.5 x 15.5 cm. xii 418pp. Bibliography, index. Bound into red cloth with gilt spine lettering. Originally published in 1964, this is a stated second edition. Some faint marks to the covers. Chapter headings include: "The Logical Background", "The Set-Theoretical Background", "The Positive Integers", "The Integers and Integral Domains", "Polynomials", "The Rational Numbers and Fields", "The Real Numbers", "The Complex Numbers", "Algebraic Number Fields and Field Expressions". Seller Inventory # 79494