Items related to The Number System (Dover Books on Mathematics)
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 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.
"synopsis" may belong to another edition of this title.
- PublisherDover Publications
- Publication date2007
- ISBN 10 0486458067
- ISBN 13 9780486458069
- BindingPaperback
- Number of pages144
Buy New
Learn more about this copy
US$ 10.07
Shipping:
FREE
Within U.S.A.
Top Search Results from the AbeBooks Marketplace
Stock Image
The Number System (Dover Books on Mathematics)
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: New. Buy with confidence! Book is in new, never-used condition. Seller Inventory # bk0486458067xvz189zvxnew
Buy New
US$ 10.07
Convert currency
Stock Image
The Number System (Dover Books on Mathematics)
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Softcover
Quantity: 1
Seller:
Rating
Book Description Condition: New. New! This book is in the same immaculate condition as when it was published. Seller Inventory # 353-0486458067-new
Buy New
US$ 10.07
Convert currency
Seller Image
Number System
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Softcover
Quantity: 5
Seller:
Rating
Book Description Condition: New. Seller Inventory # 5090431-n
Buy New
US$ 7.46
Convert currency
Seller Image
The Number System (Paperback or Softback)
Published by
Dover Publications 4/19/2007
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Paperback or Softback
Quantity: 5
Seller:
Rating
Book Description Paperback or Softback. Condition: New. The Number System 0.35. Book. Seller Inventory # BBS-9780486458069
Buy New
US$ 10.27
Convert currency
Stock Image
The Number System (Dover Books on Mathematics)
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Brand New! Not Overstocks or Low Quality Book Club Editions! Direct From the Publisher! We're not a giant, faceless warehouse organization! We're a small town bookstore that loves books and loves it's customers! Buy from Lakeside Books!. Seller Inventory # OTF-S-9780486458069
Buy New
US$ 6.39
Convert currency
Stock Image
The Number System (Dover Books on Mathematics)
Published by
Dover Publications
(2024)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Paperback
Quantity: 20
Seller:
Rating
Book Description Paperback. Condition: New. Brand New! This item is printed on demand. Seller Inventory # 0486458067
Buy New
US$ 11.42
Convert currency
Stock Image
The Number System (Dover Books on Mathematics)
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Seller Inventory # ABLING22Oct2018170014467
Buy New
US$ 8.88
Convert currency
Stock Image
The Number System (Paperback)
Published by
Dover Publications Inc., New York
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Paperback
Quantity: 1
Seller:
Rating
Book Description 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
Buy New
US$ 13.26
Convert currency
Seller Image
The Number System (Dover Books on Mathematics) [Soft Cover ]
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Soft Cover
Quantity: 1
Seller:
Rating
Book Description Soft Cover. Condition: new. Seller Inventory # 9780486458069
Buy New
US$ 16.31
Convert currency
Stock Image
The Number System (Dover Books on Mathematics)
Published by
Dover Publications
(2007)
ISBN 10: 0486458067
ISBN 13: 9780486458069
New
Softcover
Quantity: > 20
Seller:
Rating
Book Description Condition: New. Seller Inventory # I-9780486458069
Buy New
US$ 17.00
Convert currency