Number Theory Function Fields by Michael Rosen (40 results)

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Published by Springer, 2002
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Published by Springer, Graduate texts in mathematics (210), 2002
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Add to basketCouverture rigide. Condition: Bon. Edition originale. Springer, Graduate texts in mathematics (210), 2002. In-8XII+358pp. Plein cartonnage de l'éditeur (hardcover). Bon état.

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Taschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. Early on in the development of the subject it was noticed that Z has many properties in common with A = IF[T], the ring of polynomials over a finite field. Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal is finite, both rings have infinitely many prime elements, and both rings have finitely many units. Thus, one is led to suspect that many results which hold for Z have analogues of the ring A. This is indeed the case. The first four chapters of this book are devoted to illustrating this by presenting, for example, analogues of the little theorems of Fermat and Euler, Wilson's theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet's theorem on primes in an arithmetic progression. All these results have been known for a long time, but it is hard to locate any exposition of them outside of the original papers. Algebraic number theory arises from elementary number theory by con sidering finite algebraic extensions K of Q, which are called algebraic num ber fields, and investigating properties of the ring of algebraic integers OK C K, defined as the integral closure of Z in K.…

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Hardcover. Condition: Gut. [Reprint.]. XII, 358 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04811 9780387953359 Sprache: Englisch Gewicht in Gramm: 550.

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Published by New York. Springer-Verlag., 2002
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Karton Karton. Condition: Sehr gut. 358 Seiten, mit Abbildungen; Zust: Gutes Exemplar. Schneller Versand und persönlicher Service - jedes Buch händisch geprüft und beschrieben - aus unserem Familienbetrieb seit über 25 Jahren. Eine Rechnung mit ausgewiesener Mehrwertsteuer liegt jeder unserer Lieferungen bei. Wir versenden mit der deutschen Post. Sprache: Englisch Gewicht in Gramm: 700.…
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Taschenbuch. Condition: Neu. Number Theory in Function Fields | Michael Rosen | Taschenbuch | Graduate Texts in Mathematics | xi | Englisch | 2010 | Springer | EAN 9781441929549 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. …

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Published by Springer, 2002
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hardcover. Condition: New. In shrink wrap. Looks like an interesting title.

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Published by New York. Springer-Verlag., 2002
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Condition: gut. 2002. Number Theory in Function Fields (Graduate Texts in Mathematics, 210, Band 210) In englischer Sprache. pages.

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Published by Springer, Humana Dez 2010, 2010
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Taschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -Elementary number theory is concerned with the arithmetic properties of the ring of integers, Z, and its field of fractions, the rational numbers, Q. Early on in the development of the subject it was noticed that Z has many properties in common with A = IF[T], the ring of polynomials over a finite field. Both rings are principal ideal domains, both have the property that the residue class ring of any non-zero ideal is finite, both rings have infinitely many prime elements, and both rings have finitely many units. Thus, one is led to suspect that many results which hold for Z have analogues of the ring A. This is indeed the case. The first four chapters of this book are devoted to illustrating this by presenting, for example, analogues of the little theorems of Fermat and Euler, Wilson's theorem, quadratic (and higher) reciprocity, the prime number theorem, and Dirichlet's theorem on primes in an arithmetic progression. All these results have been known for a long time, but it is hard to locate any exposition of them outside of the original papers. Algebraic number theory arises from elementary number theory by con sidering finite algebraic extensions K of Q, which are called algebraic num ber fields, and investigating properties of the ring of algebraic integers OK C K, defined as the integral closure of Z in K. 376 pp. Englisch.…

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Condition: New. Print on Demand pp. 376 49:B&W 6.14 x 9.21 in or 234 x 156 mm (Royal 8vo) Perfect Bound on White w/Gloss Lam.