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Polygones --- Geometrie algebrique --- Polygones --- Geometrie algebrique

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This book arose from a series of courses on computer algebra which were given at Eindhoven Technical University. Its chapters present a variety of topics in computer algebra at an accessible (upper undergraduate/graduate) level with a view towards recent developments. For those wanting to acquaint themselves somewhat further with the material, the book also contains seven 'projects', which could serve as practical sessions related to one or more chapters. The contributions focus on topics like Gröbner bases, real algebraic geometry, Lie algebras, factorisation of polynomials, integer programming, permutation groups, differential equations, coding theory, automatic theorem proving, and polyhedral geometry. This book is a must-read for everybody interested in computer algebra.

Algebraic geometry --- Ordered algebraic structures --- Algebra --- -519.6 --- Mathematics --- Mathematical analysis --- Data processing --- Computational mathematics. Numerical analysis. Computer programming --- Data processing. --- 519.6 Computational mathematics. Numerical analysis. Computer programming --- 519.6 --- Algorithms. --- Computer science—Mathematics. --- Algebra. --- Combinatorics. --- Symbolic and Algebraic Manipulation. --- Combinatorics --- Algorism --- Arithmetic --- Foundations --- Géométrie algébrique

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This volume contains the expanded versions of the lectures given by the authors at the C.I.M.E. instructional conference held in Cetraro, Italy, from July 12 to 19, 1997. The papers collected here are broad surveys of the current research in the arithmetic of elliptic curves, and also contain several new results which cannot be found elsewhere in the literature. Owing to clarity and elegance of exposition, and to the background material explicitly included in the text or quoted in the references, the volume is well suited to research students as well as to senior mathematicians.

Curves, Elliptic --- Mathematical Theory --- Geometry --- Mathematics --- Physical Sciences & Mathematics --- Number theory. --- Algebraic geometry. --- Number Theory. --- Algebraic Geometry. --- Algebraic geometry --- Number study --- Numbers, Theory of --- Algebra --- Mathematics. --- Geometry, Algebraic. --- Math --- Science --- Géométrie algébrique --- Géométrie algébrique --- Courbes elliptiques --- Nombres, Théorie des