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Number Theory in Function Fields (Graduate Texts in Mathematics, 210)
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer (edition 2002), 2002
ISBN 10: 0387953353 ISBN 13: 9780387953359
Hardcover. Condition: Very Good. 2002. 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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hardcover. Condition: Good. Connecting readers with great books since 1972! Used textbooks may not include companion materials such as access codes, etc. May have some wear or writing/highlighting. We ship orders daily and Customer Service is our top priority!
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Number Theory in Function Fields (Paperback)
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer-Verlag New York Inc., New York, NY, 2010
ISBN 10: 1441929541 ISBN 13: 9781441929549
Paperback. Condition: new. Paperback. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Number theory in function fields.
Language: English
Published by Springer, Graduate texts in mathematics (210), 2002
First Edition
Couverture 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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Hardcover. Condition: Used; Very Good. ***Simply Brit*** Welcome to our online used book store, where affordability meets great quality. Dive into a world of captivating reads without breaking the bank. We take pride in offering a wide selection of used books, from classics to hidden gems, ensuring there is something for every literary palate. All orders are shipped within 24 hours and our lightning fast-delivery within 48 hours coupled with our prompt customer service ensures a smooth journey from ordering to delivery. Discover the joy of reading with us, your trusted source for affordable books that do not compromise on quality.
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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
£ 54.62
£ 11.98 shipping
Ships from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketCondition: New. In.
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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: New.
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Number Theory in Function Fields (Hardcover)
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer-Verlag New York Inc., New York, NY, 2002
ISBN 10: 0387953353 ISBN 13: 9780387953359
Hardcover. Condition: new. Hardcover. 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. 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. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.
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Condition: New. pp. 376.
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Condition: As New. Unread book in perfect condition.
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Number Theory in Function Fields (Graduate Texts in Mathematics, 210)
Book 110 of 180: Graduate Texts in MathematicsSeller: Ria Christie Collections, Uxbridge, United Kingdom
Seller rating 5 out of 5 stars
£ 74.30
£ 11.98 shipping
Ships from United Kingdom to U.S.A.Quantity: Over 20 available
Add to basketCondition: New. In.
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Number Theory in Function Fields (Graduate Texts in Mathematics, 210, Band 210).
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by New York. Springer-Verlag., 2002
ISBN 10: 0387953353 ISBN 13: 9780387953359
Karton. Condition: Sehr gut. Zust: Gutes Exemplar. 358 Seiten, mit Abbildungen; Englisch 700g.
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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: New.
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hardcover. Condition: Gut. 369 Seiten; 9780387953359.3 Gewicht in Gramm: 1.
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Hardcover. [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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Condition: New. pp. 380.
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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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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer New York, Springer US, 2010
ISBN 10: 1441929541 ISBN 13: 9781441929549
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: New. In shrink wrap. Looks like an interesting title!
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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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Paperback. Condition: Like New. Like New. book.
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Condition: As New. Unread book in perfect condition.
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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer New York, Springer US Jan 2002, 2002
ISBN 10: 0387953353 ISBN 13: 9780387953359
Seller: buchversandmimpf2000, Emtmannsberg, BAYE, Germany
Seller rating 5 out of 5 stars
Buch. Condition: Neu. 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.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 380 pp. Englisch.
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Number Theory in Function Fields
Book 110 of 180: Graduate Texts in MathematicsLanguage: English
Published by Springer New York, Springer US, 2002
ISBN 10: 0387953353 ISBN 13: 9780387953359
Buch. 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.
