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 ...
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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.
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Add this copy of Algebraic Function Fields and Codes to cart. $58.97, new condition, Sold by Educational Media Centre rated 4.0 out of 5 stars, ships from New Delhi, DELHI, INDIA, published 2010 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:
Softcover reprint of hardcover 2nd edition 2008
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2010
Language:
English
Alibris ID:
18492110291
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This is an ex-library book and may have the usual library/used-book markings inside. This book has soft covers. Book contains pencil markings. In poor condition, suitable as a reading copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item, 700grams, ISBN: 9783642095566.
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:
Softcover reprint of hardcover 2nd edition 2008
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2010
Language:
English
Alibris ID:
17448360882
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:
Softcover reprint of hardcover 2nd edition 2008
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2010
Language:
English
Alibris ID:
15828248575
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Add this copy of Algebraic Function Fields and Codes to cart. $80.09, like new condition, Sold by GreatBookPrices rated 4.0 out of 5 stars, ships from Columbia, MD, UNITED STATES, published 2010 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
Edition:
2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:
Softcover reprint of hardcover 2nd edition 2008
Publisher:
Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2010
Language:
English
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15969786697
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Add this copy of Algebraic Function Fields and Codes to cart. $81.19, new condition, Sold by GreatBookPricesUK5 rated 5.0 out of 5 stars, ships from Castle Donington, DERBYSHIRE, UNITED KINGDOM, published 2010 by Springer-Verlag Berlin and Heidelberg GmbH & Co. K.
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2010, Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:
Softcover reprint of hardcover 2nd edition 2008
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Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Published:
2010
Language:
English
Alibris ID:
17445996830
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