Theory numbers (Mehr als 1.100 Ergebnisse)

Sprache: Englisch
Verlag: Dover Publications (edition ), 1990
- Softcover
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Paperback. Zustand: 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.

Sprache: Englisch
Verlag: Dover Publications (edition ), 1990
- Softcover
Anbieter: BooksRun, Philadelphia, PA, USABooksRun
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Paperback. Zustand: 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.

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Paperback. Zustand: Fair. The item might be beaten up but readable. May contain markings or highlighting, as well as stains, bent corners, or any other major defect, but the text is not obscured in any way.

Sprache: Englisch
Verlag: Dover Publications Inc., 2003
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Paperback. Zustand: Very Good. This superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple problems to stimulate readers' interest, challenge their abilities and increase mathematical strength.Contents: I. IntroductionII. The Euclidean Algorithm and Its ConsequencesIII. CongruencesIV. The Powers of an Integer Modulo mV. Continued FractionsVI. The Gaussian IntegersVII. Diophantine EquationsRequiring only a sound background in high-school mathematics, this work offers the student an excellent introduction to a branch of mathematics that has been a strong influence in the development of higher pure mathematics, both in stimulating the creation of powerful general methods in the course of solving special problems (such as Fermat conjecture and the prime number theorem) and as a source of ideas and inspiration comparable to geometry and the mathematics of physical phenomena. …

Sprache: Englisch
Verlag: Dover Publications Inc., 2003
- Softcover
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Paperback. Zustand: Good. This superb text introduces number theory to readers with limited formal mathematical training. Intended for use in freshman- and sophomore-level courses in arts and science curricula, in teacher-training programs, and in enrichment programs for high-school students, it is filled with simple problems to stimulate readers' interest, challenge their abilities and increase mathematical strength.Contents: I. IntroductionII. The Euclidean Algorithm and Its ConsequencesIII. CongruencesIV. The Powers of an Integer Modulo mV. Continued FractionsVI. The Gaussian IntegersVII. Diophantine EquationsRequiring only a sound background in high-school mathematics, this work offers the student an excellent introduction to a branch of mathematics that has been a strong influence in the development of higher pure mathematics, both in stimulating the creation of powerful general methods in the course of solving special problems (such as Fermat conjecture and the prime number theorem) and as a source of ideas and inspiration comparable to geometry and the mathematics of physical phenomena.…

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Paperback. Zustand: Good. 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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Paperback. Zustand: Fair. 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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Sprache: Englisch
Verlag: Dover Publications, 1990
- Softcover
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Sprache: Englisch
Verlag: Dover Publications, 1990
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Sprache: Englisch
Verlag: Dover Publications, 1990
- Softcover
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Sprache: Englisch
Verlag: Dover Publications, 1990
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Sprache: Englisch
Verlag: Dover Publications, Incorporated, 2003
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Sprache: Englisch
Verlag: Dover Publications, Incorporated, 2003
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