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The Number System (Dover Books on MaTHEMA 1.4tics) - Softcover

 
9780486458069: The Number System (Dover Books on MaTHEMA 1.4tics)

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This book explores arithmetic's underlying concepts and their logical development. It offers an informal and intuitive understanding of the rigorous logical approach, in addition to a detailed, systematic construction of the number systems of rational, real, and complex numbers. Numerous exercises help students test their progress and practice concepts. 1956 edition.

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H. A. Thurston
Published by Dover Publications (edition ), 2007
ISBN 10: 0486458067 ISBN 13: 9780486458069
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Paperback. Condition: Very Good. It's a well-cared-for item that has seen limited use. The item may show minor signs of wear. All the text is legible, with all pages included. It may have slight markings and/or highlighting. Seller Inventory # 0486458067-8-1

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Thurston, H. A.
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ISBN 10: 0486458067 ISBN 13: 9780486458069
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Thurston, H. A.
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ISBN 10: 0486458067 ISBN 13: 9780486458069
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H.A. Thurston, Ezra Po
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Paperback. Condition: new. Paperback. 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 II help readers test their progress and provide practice in using the relevant concepts. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486458069

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Published by Dover Publications, 2007
ISBN 10: 0486458067 ISBN 13: 9780486458069
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Paperback. Condition: Very Good. The book has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Seller Inventory # GOR005775587

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