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9781441929549 - Number Theory in Function Fields: 210 Graduate Texts in Mathematics, 210 by Rosen, Michael (18 results)
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Number Theory in Function Fields (Graduate Texts in Mathematics)
Book 110 of 180: Graduate Texts in MathematicsSeller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 55.51
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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
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Condition: New. pp. 376.
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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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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsSeller: GreatBookPricesUK, Woodford Green, United Kingdom
Seller rating 5 out of 5 stars
Condition: As New. Unread book in perfect condition.
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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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Condition: new. Questo è un articolo print on demand.
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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer, Humana Dez 2010, 2010
ISBN 10: 1441929541 ISBN 13: 9781441929549
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
Seller rating 5 out of 5 stars
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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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer-Verlag New York Inc., 2010
ISBN 10: 1441929541 ISBN 13: 9781441929549
Seller: THE SAINT BOOKSTORE, Southport, United Kingdom
Seller rating 5 out of 5 stars
£ 64.85
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Ships from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketPaperback / softback. Condition: New. This item is printed on demand. New copy - Usually dispatched within 5-9 working days.
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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.
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Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Early in the development of number theory, it was noticed that the ring of integers has many properties in common with the ring of polynomials over a finite field. The first part of this book illustrates this relationship by presenting analogues of vario.
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Condition: New. PRINT ON DEMAND pp. 376.
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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer, Springer Dez 2010, 2010
ISBN 10: 1441929541 ISBN 13: 9781441929549
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Taschenbuch. Condition: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This book studies the relationship between number theory in algebraic number fields and algebraic function fields. Because function fields are a bit different from number fields, even the experienced number theorist will learn from this book. Algebraic geometers will like the book, since the geometry of curves over an algebraically closed field is both pretty and elementary. Michael Rosen is the author of the successful book 'A Classical Introduction to Modern Number Theory.' He is the recipient of the 1999 Chauvenet Prize for his article 'Niels Hendrik Abel and Equations of the Fifth Degree.'Springer-Verlag KG, Sachsenplatz 4-6, 1201 Wien 376 pp. Englisch.
