Fewnomials (Translations of Mathematical Monographs) By A. G. Khovanskii
Publisher: American Mathematical Society 1991-06-06 | 139 Pages | ISBN: 0821845470 | PDF | 8 MB
The ideology of the theory of fewnomials is the following: real varieties defined by ``simple,'' not cumbersome, systems of equations should have a ``simple'' topology. One of the results of the theory is a real transcendental analogue of the Bezout theorem: for a large class of systems of $k$ transcendental equations in $k$ real variables, the number of roots is finite and can be explicitly estimated from above via the ``complexity'' of the system...