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Advances in Complex Function Theory (Lecture Notes in Mathematics) by W. E. Kirwan (Repost)
Matrix Mathematics - Theory, Facts, and Formulas, Second Edition
Mathematics Probability, Markov Chains, Queues, and Simulation - The Mathematical Basis of Performance Modeling
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Mathematics for Elementary Teachers - A Conceptual Approach, 9 edition
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Mathematics Engineering Analysis: Interactive Methods and Programs with FORTRAN, QuickBASIC, MATLAB, and Mathematica [Repost]
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Topology (Allyn and Bacon Series in Advanced Mathematics) by James Dugundji
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Mathematics LMSST - 24 Lectures on Elliptic Curves (London Mathematical Society Student Texts) by J. W. S. Cassels
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Mathematics Introduction ¨¤ la r¨¦solution des syst¨¨mes polynomiaux
Posted on 2010-04-12
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More Mohamed Elkadi, Bernard Mourrain ¡°Introduction ¨¤ la r¨¦solution des syst¨¨mes polynomiaux" Les ¨¦quations polynomiales apparaissent dans de nombreux domaines, pour mod¨¦liser des contraintes g¨¦om¨¦triques, des relations entre des grandeurs physiques, ou encore des propri¨¦t¨¦s satisfaites par certaines inconnues. Cet ouvrage est une introduction aux m¨¦thodes alg¨¦briques permettant de r¨¦soudre ce type d'¨¦quations. Nous montrons comment la g¨¦om¨¦trie des vari¨¦t¨¦s alg¨¦briques d¨¦finies par ces ¨¦quations, leur dimension, leur degr¨¦, ou leurs composantes peuvent se d¨¦duire des propri¨¦t¨¦s des alg¨¨bres quotients correspondantes. Nous abordons pour cela des m¨¦thodes de la g¨¦om¨¦trie alg¨¦brique effective, telles que les bases de Grobner, la r¨¦solution par valeurs et vecteurs propres, les r¨¦sultants, les bezoutiens, la dualit¨¦, les alg¨¨bres de Gorenstein et les r¨¦sidus alg¨¦briques. Ces m¨¦thodes sont accompagn¨¦es d'algorithmes, d'exemples et d'exercices, illustrant leurs applications. "
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