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Geometry and Codes -  Goppa

Geometry and Codes

(Autor)

Buch | Softcover
157 Seiten
2001 | Softcover reprint of the original 1st ed. 1988
Springer-Verlag New York Inc.
978-1-4020-0302-8 (ISBN)
CHF 74,85 inkl. MwSt
Approach your problems from the right end It isn't that they can't see the solution. It is and begin with the answers. Then one day. that they can't see the problem. perhaps you will find the final question. G. K. Chesterton. The Scandal of Father 'The Hermit Clad in Crane Feathers' in R. Brown 'The point of a Pin'. van Gulik's The Chinese Maze Murders. Growing specialization and diversification have brought a host of monographs and textbooks on increasingly specialized topics. However, the "tree" of knowledge of mathematics and related fields does not grow only by putting forth new branches. It also happens, quite often in fact, that branches which were thought to be completely disparate are suddenly seen to be related. Further, the kind and level of sophistication of mathematics applied in various sciences has changed drastically in recent years: measure theory is used (non-trivially) in regional and theoretical economics; algebraic geometry interacts with physics; the Minkowsky lemma, coding theory and the structure of water meet one another in packing and covering theory; quantum fields, crystal defects and mathematical programming profit from homotopy theory; Lie algebras are relevant to filtering: and prediction and electrical engineering can use Stein spaces. And in addition to this there are such new emerging subdisciplines as "experimental mathematics", "CFD", "completely integrable systems", "chaos, synergetics and large-scale order", which are almost impossible to fit into the existing classification schemes. They draw upon widely different sections of mathematics.

1. Rational Codes.- 2. Decoding and Rational Approximations.- 3. Algebraic Curves.- 4. Generalized Jacobian Codes.- References.

Erscheint lt. Verlag 30.11.2001
Reihe/Serie Mathematics and its Applications ; 24
Mathematics and its Applications ; 24
Zusatzinfo 1 Illustrations, black and white; IX, 157 p. 1 illus.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Themenwelt Mathematik / Informatik Informatik Theorie / Studium
Mathematik / Informatik Mathematik Arithmetik / Zahlentheorie
Mathematik / Informatik Mathematik Geometrie / Topologie
ISBN-10 1-4020-0302-1 / 1402003021
ISBN-13 978-1-4020-0302-8 / 9781402003028
Zustand Neuware
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