Essays on the Theory of Numbers (Dover Books on Mathematics)
Language: English
Published by Dover Publications, New York, 196
- First Edition
- Softcover
- Used
Seller: Alien Bindings, BALTIMORE, MD, U.S.A.Alien Bindings
AbeBooks seller since April 3, 2019
Condition: Used - Very good
US$ 8.45
Quantity: 1 available
Add to basketItem description from seller
Very Good condition. The covers look great with only light shelf wear. The binding is tight. The first 12 pages contain sparse markings; otherwise, interior pages are clean and unmarked. There is a small abrasion to the first page. USPS electronic tracking number issued free of charge.
Seller Inventory # 11821
- Title
- Essays on the Theory of Numbers (Dover Books on Mathematics)
- Author
- Dedekind, Richard
- Publisher
- Dover Publications, New York
- Publication year
- 196
- Condition
- Very Good
- Dust jacket
- No Jacket
- Binding
- Softcover
- Language
- English
- ISBN 10
- 0486210103
- ISBN 13
- 9780486210100
- Edition
- First Edition.
- Printing
- First Printing
- Dimensions
- 8.10 x 5.40 x 0.30 inches
This volume contains the two most important essays on the logical foundations of the number system by the famous German mathematician J. W. R. Dedekind. The first presents Dedekind's theory of the irrational number-the Dedekind cut idea-perhaps the most famous of several such theories created in the 19th century to give a precise meaning to irrational numbers, which had been used on an intuitive basis since Greek times. This paper provided a purely arithmetic and perfectly rigorous foundation for the irrational numbers and thereby a rigorous meaning of continuity in analysis.
The second essay is an attempt to give a logical basis for transfinite numbers and properties of the natural numbers. It examines the notion of natural numbers, the distinction between finite and transfinite (infinite) whole numbers, and the logical validity of the type of proof called mathematical or complete induction.
The contents of these essays belong to the foundations of mathematics and will be welcomed by those who are prepared to look into the somewhat subtle meanings of the elements of our number system. As a major work of an important mathematician, the book deserves a place in the personal library of every practicing mathematician and every teacher and historian of mathematics. Authorized translations by "Vooster " V. Beman.
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Alien Bindings
BALTIMORE, MD, U.S.A.
AbeBooks seller since April 3, 2019
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Alien Bindings is an online bookshop located in Baltimore that has been in operation for nearly 20 years. Alien Bindings caters to the sciences including the physical sciences, astronomy, mathematics, computer science, the social sciences and medicine. I also dabble in a wide array of other categories including antiquarian books and history. I run a clean, green business. I try to reuse clean materials for packaging whenever possible. For example, books are carefully packaged frequently using clean cardboard for custom made boxes, recycled paper is used for printed labels and recycled plastic or bubble wrap is used for a weather-proof barrier. I drop the packages off to my local post office via foot or cycle in order to further reduce the carbon footprint.…
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caters to the sciences including the physical sciences, astronomy, mathematics, computer science, the social sciences and medicine. I also dabble in a wide array of other categories including antiquSeller's business information
Alien Bindings
MD, U.S.A.