TY - BOOK ID - 80820361 TI - Solving polynomial equation systems. PY - 2005 VL - v. 99 SN - 9781107340954 9780521811569 1107340950 9781107266902 1107266904 9781299707610 1299707610 9781107269989 1107269989 9780521811545 0521811546 0521811562 9780521811552 0521811554 1139883003 1107266556 110726443X 1107263344 1107267978 9781139015998 PB - Cambridge Cambridge University Press DB - UniCat KW - Equations KW - Polynomials. KW - Iterative methods (Mathematics) KW - Iteration (Mathematics) KW - Numerical analysis KW - Algebra KW - Numerical solutions. KW - Graphic methods KW - Gröbner bases. KW - Gröbner basis theory KW - Commutative algebra UR - https://www.unicat.be/uniCat?func=search&query=sysid:80820361 AB - The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. The same language describes the applications of Groebner technology to the central problems of commutative algebra. The book can be also used as a reference on elementary ideal theory and a source for the state-of-the-art in its algorithmization. Aiming to provide a complete survey on Groebner bases and their applications, the author also includes advanced aspects of Buchberger theory, such as the complexity of the algorithm, Galligo's theorem, the optimality of degrevlex, the Gianni-Kalkbrener theorem, the FGLM algorithm, and so on. Thus it will be essential for all workers in commutative algebra, computational algebra and algebraic geometry. ER -