Computational Algebraic Geometry and Groebner Basis

ISBN-13: 9783659435850 / Angielski / Miękka / 2013 / 52 str.

Salah Uddin Mohammad

Opis

Computational Algebraic Geometry (CAG) is a well-defined collection of the algebra of polynomial ideals, the geometry of affine varieties and wonderful implementations of algorithms. It describes algebraic geometry as a practical and experimental subject. CAG is mainly based on the development of Groebner Basis and the Buchberger Algorithm. A big contribution to the development of Groebner Basis was due to the implementation of the Buchberger Algorithm on the computer algebra systems Axiom, Cocoa, Mathematica, Maple, Macaulay, Reduce, etc. As an introduction to CAG, in this book we study some common questions in affine varieties and we show that computational techniques are much more informative and motivating than theoretical point of view.

O autorze

Mohammad Salah Uddin received the B.Sc. and M.S. degrees with distinction in Mathematics from Shahjalal University (SUST), Sylhet, Bangladesh and the Pre-PhD diploma in Mathematics from Abdus Salam ICTP, Trieste, Italy. At present, he is a lecturer in the Department of Natural Sciences at Daffodil University (DIU), Dhaka, Bangladesh.