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Synopsis
A grasp of the precision, beauty, and complexity of mathematics requires an understanding of some of the subject's technical aspects. The real number system provides an ideal framework for cultivating such an appreciation, and this detailed investigation of the system offers an accessible introduction. The treatment presumes only a familiarity with the basic properties of natural numbers, although readers must be willing to apply themselves. Proceeding from a review of the natural numbers to the positive rational numbers, the text advances to the nonnegative real numbers and the set of all real numbers.
Author J. B. Roberts stresses self-reliance in this approach, and readers will find that many of the exercises are inseparable from the text and must be completed before moving forward. No proofs are given in the first part of the final chapter, where students are encouraged to use the definitions and theorems to develop the set of all real numbers from the set of nonnegative real numbers. Helpful appendixes introduce cardinal and complex numbers. Suitable as a supplement for any undergraduate course in real numbers, this book is especially valuable for courses in the teaching of mathematics.
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About the Author
Joseph Roberts received his Ph.D. in Mathematics at the University of Minnesota and taught for many years at Reed College in Portland, Oregon, where he is now Professor Emeritus of Mathematics.
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The Real Number System in an Algebraic Setting (Paperback)
Published by
Dover Publications Inc., New York, 2018
ISBN 10: 0486824519
ISBN 13: 9780486824512
New
Paperback
Seller: Grand Eagle Retail, Mason, OH, U.S.A.
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. This detailed investigation of the real number system is geared toward students without great mathematical sophistication. The treatment presumes only a familiarity with the basic properties of natural numbers - though readers must be willing to apply themselves. Proceeding from a review of the natural numbers to the positive rational numbers, the text advances to the non-negative real numbers and the set of all real numbers. AUTHOR: Joseph Roberts received his Ph.D. in Mathematics at the University of Minnesota and taught for many years at Reed College in Portland, Oregon, where he is now Professor Emeritus of Mathematics. Proceeding from a review of the natural numbers to the positive rational numbers, this text advances to the non-negative real numbers and the set of all real numbers. 1962 edition. Shipping may be from multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9780486824512
Quantity: 1 available
Stock Image
The Real Number System in an Algebraic Setting (Paperback)
Published by
Dover Publications Inc., New York, 2018
ISBN 10: 0486824519
ISBN 13: 9780486824512
New
Paperback
Seller: AussieBookSeller, Truganina, VIC, Australia
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. This detailed investigation of the real number system is geared toward students without great mathematical sophistication. The treatment presumes only a familiarity with the basic properties of natural numbers - though readers must be willing to apply themselves. Proceeding from a review of the natural numbers to the positive rational numbers, the text advances to the non-negative real numbers and the set of all real numbers. AUTHOR: Joseph Roberts received his Ph.D. in Mathematics at the University of Minnesota and taught for many years at Reed College in Portland, Oregon, where he is now Professor Emeritus of Mathematics. Proceeding from a review of the natural numbers to the positive rational numbers, this text advances to the non-negative real numbers and the set of all real numbers. 1962 edition. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability. Seller Inventory # 9780486824512
Quantity: 1 available
Stock Image
The Real Number System in an Algebraic Setting (Paperback)
Published by
Dover Publications Inc., New York, 2018
ISBN 10: 0486824519
ISBN 13: 9780486824512
New
Paperback
Seller: CitiRetail, Stevenage, United Kingdom
Seller rating 5 out of 5 stars
Paperback. Condition: new. Paperback. This detailed investigation of the real number system is geared toward students without great mathematical sophistication. The treatment presumes only a familiarity with the basic properties of natural numbers - though readers must be willing to apply themselves. Proceeding from a review of the natural numbers to the positive rational numbers, the text advances to the non-negative real numbers and the set of all real numbers. AUTHOR: Joseph Roberts received his Ph.D. in Mathematics at the University of Minnesota and taught for many years at Reed College in Portland, Oregon, where he is now Professor Emeritus of Mathematics. Proceeding from a review of the natural numbers to the positive rational numbers, this text advances to the non-negative real numbers and the set of all real numbers. 1962 edition. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9780486824512
Quantity: 1 available