Articles liés à ALGEBRAIC FUNCTION FIELDS AND CODES
Synopsis
This book has two objectives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition of the theory of algebraic function fields. The topics include the Riemann-Roch theorem, algebraic extensions of function fields, ramifications theory and differentials. Particular emphasis is placed on function fields over a finite constant field, leading into zeta functions and the Hasse-Weil theorem. Numerous examples illustrate the general theory. Error-correcting codes are in widespread use for the reliable transmission of information. Perhaps the most fascinating of all the ties that link the theory of these codes to mathematics is the construction by V.D. Goppa, of powerful codes using techniques borrowed from algebraic geometry. Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes along these lines. The codes, their parameters and links with traditional codes such as classical Goppa, Peed-Solomon and BCH codes are treated at an early stage of the book. Subsequent chapters include a decoding algorithm for these codes as well as a discussion of their subfield subcodes and trace codes. Stichtenoth's book will be very useful to students and researchers in algebraic geometry and coding theory and to computer scientists and engineers interested in information transmission.
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Présentation de l'éditeur
This is an expanded edition of a popular textbook that provides a purely algebraic, self-contained and in-depth exposition of the theory of function fields. It contains numerous exercises, some fairly simple, some quite difficult.
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Algebraic Function Fields and Codes
Edité par
Springer, 1993
ISBN 10 : 3540564896
ISBN 13 : 9783540564898
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Etat : Fine. *Price HAS BEEN REDUCED by 10% until Monday, Oct. 6 (sale item)* First edition, first printing, 260 pp., Paperback, fine. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. N° de réf. du vendeur ZB1281542
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Algebraic Function : Fields and Codes
Edité par
Springer, 1993
ISBN 10 : 3540564896
ISBN 13 : 9783540564898
Ancien ou d'occasion
Couverture souple
Edition originale
Vendeur : Better World Books, Mishawaka, IN, Etats-Unis
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Etat : Good. 1st Edition. Former library book; may include library markings. Used book that is in clean, average condition without any missing pages. N° de réf. du vendeur 8180724-6
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Algebraic Function Fields and Codes
Edité par
Springer, 1993
ISBN 10 : 3540564896
ISBN 13 : 9783540564898
Ancien ou d'occasion
Paperback
Vendeur : Vintage Books and Fine Art, Oxford, MD, Etats-Unis
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Paperback. Etat : Very Good. Trade paperback. Square Tight Binding.Mild rubbing to wraps. Clean interior, save for p/o signature to front end paper and very sporadic pencil marginalia. A nice edition at an attractive price. N° de réf. du vendeur 10740
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Algebraic Function Fields and Codes. (= Reihe: Universitext). Erstausgabe.
Edité par
Springer-Verlag, Berlin, Heidelberg, New York, London, Paris, Tokyo, Hong Kong, Barcelona, Budapest, 1993
ISBN 10 : 3540564896
ISBN 13 : 9783540564898
Ancien ou d'occasion
Softcover
Edition originale
Vendeur : Versandantiquariat Abendstunde, Ludwigshafen am Rhein, Allemagne
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Softcover. Etat : gut. Erste Aufl. Kartonierte Broschur mit Rücken- und Deckeltitel. Der Buchrücken etwas lichtgebleicht, die Schnitte leicht berieben, das Titelblatt mit Schatten eines entfernten Etiketts, einzelne Seiten mit kleinem bzw. leichtem Knick einer Ecke, ansonsten guter Erhaltungszustand. "This book has two objectives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition of the theory of algebraic function fields. Topics include the Riemann-Roch theorem, algebraic extensions of function fields, ramifications theory and differentials. Particular emphasis is placed on function fields over a finite constant field, leading into zeta functions and the Hasse-Weil theorem. Numerous examples illustrate the general theory. Error-correcting codes are in widespread use for the reliable transmission of information. Perhaps the most fascinating of all the ties that link the theory of these codes to mathematics is the construction by V. D. Goppa, of powerful codes using techniques borrowed from algebraic geometry. Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes along these lines. The codes, their parameters and links with traditional codes such as classical Goppa, Peed-Solomon and BCH codes are treated at an early stage of the book. Subsequent chapters include a decoding algorithm for these codes as well as a discussion of their subfield subcodes and trace codes. Stichtenoth's book will be very useful to students and researchers in algebraic geometry and coding theory and to computer scientists and engineers interested in information transmission." (Verlagstext) Henning Stichtenoth (* 3. November 1944) ist ein deutscher Mathematiker. Stichtenoth promovierte 1972 bei Peter Roquette an der Ruprecht-Karls-Universität Heidelberg über die Automorphismengruppe eines algebraischen Funktionenkörpers von Primzahlcharakteristik. Bis 2007 war er Professor an der Universität Duisburg-Essen. Zurzeit ist er Professor an der Sabanci-Universität in Istanbul. Er befasst sich mit algebraischer Geometrie, algebraischen Funktionenkörpern und deren Anwendung in der Kodierungstheorie und Kryptographie. (Wikipedia) In englischer Sprache. X, 260, (2) pages. Groß 8° (155 x 235mm). N° de réf. du vendeur BN32889
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Algebraic Function Fields and Codes
Vendeur : Books Puddle, New York, NY, Etats-Unis
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Algebraic Function Fields and Codes
Vendeur : Majestic Books, Hounslow, Royaume-Uni
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Etat : New. pp. x + 260. N° de réf. du vendeur 7545831
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Algebraic Function Fields and Codes
Vendeur : Biblios, Frankfurt am main, HESSE, Allemagne
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Etat : New. pp. x + 260. N° de réf. du vendeur 18302130
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Algebraic Function Fields and Codes (Universitext)
Edité par
Springer, 1993
ISBN 10 : 3540564896
ISBN 13 : 9783540564898
Ancien ou d'occasion
Paperback
Vendeur : Fireside Bookshop, Stroud, GLOS, Royaume-Uni
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Paperback. Etat : Very Good. Type: Book N.B. Small plain label to inside front cover. N° de réf. du vendeur 054647
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Universitext: Algebraic Function Fields and Codes
Edité par
Springer, 1993
ISBN 10 : 3540564896
ISBN 13 : 9783540564898
Ancien ou d'occasion
Softcover
Vendeur : Bookbot, Prague, Rébublique tchèque
Évaluation du vendeur 5 sur 5 étoiles
Softcover. Etat : Fine. Leichte Risse; Farbveränderung durch Alter/Sonne. This book has two objectives. The first is to fill a void in the existing mathematical literature by providing a modern, self-contained and in-depth exposition of the theory of algebraic function fields. Topics include the Riemann-Roch theorem, algebraic extensions of function fields, ramifications theory and differentials. Particular emphasis is placed on function fields over a finite constant field, leading into zeta functions and the Hasse-Weil theorem. Numerous examples illustrate the general theory. Error-correcting codes are in widespread use for the reliable transmission of information. Perhaps the most fascinating of all the ties that link the theory of these codes to mathematics is the construction by V.D. Goppa, of powerful codes using techniques borrowed from algebraic geometry. Algebraic function fields provide the most elementary approach to Goppa's ideas, and the second objective of this book is to provide an introduction to Goppa's algebraic-geometric codes along these lines. The codes, their parameters and links with traditional codes such as classical Goppa, Peed-Solomon and BCH codes are treated at an early stage of the book. Subsequent chapters include a decoding algorithm for these codes as well as a discussion of their subfield subcodes and trace codes. Stichtenoth's book will be very useful to students and researchers in algebraic geometry and coding theory and to computer scientists and engineers interested in information transmission. N° de réf. du vendeur 14bd7ce7-b583-42ec-884e-4586eef364a8
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Algebraic Function Fields and Codes
Vendeur : Buchladen an der Kyll, Birgel, Allemagne
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Paperback. Etat : Neu. neu, noch in Schutzfolie, Versand spätestens am nächsten Werktag 141139 Sprache: Englisch Gewicht in Gramm: 460. N° de réf. du vendeur 365906
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