000			02238 a2200229 4500
999			_c54199 _d54199
008			201225b ||||| |||| 00| 0 eng d
020			_a9783211832417
082			_a512.9434 _bWAN
100			_aWang, D.
245			_aElimination methods
260			_bSpringer, _c2001. _aWien:
300			_axiii, 244 p. ; _bpb; _c25 cm.
365			_aEURO _b109.99
440			_aTexts and monographs in symbolic computation, 0943-853X
504			_aIncludes bibliographical references and index.
520			_aThe development of polynomial-elimination techniques from classical theory to modern algorithms has undergone a tortuous and rugged path. This can be observed L. van der Waerden's elimination of the "elimination theory" chapter from from B. his classic Modern Algebra in later editions, A. Weil's hope to eliminate "from algebraic geometry the last traces of elimination theory," and S. Abhyankar's sug­ gestion to "eliminate the eliminators of elimination theory. " The renaissance and recognition of polynomial elimination owe much to the advent and advance of mod­ ern computing technology, based on which effective algorithms are implemented and applied to diverse problems in science and engineering. In the last decade, both theorists and practitioners have more and more realized the significance and power of elimination methods and their underlying theories. Active and extensive research has contributed a great deal of new developments on algorithms and soft­ ware tools to the subject, that have been widely acknowledged. Their applications have taken place from pure and applied mathematics to geometric modeling and robotics, and to artificial neural networks. This book provides a systematic and uniform treatment of elimination algo­ rithms that compute various zero decompositions for systems of multivariate poly­ nomials. The central concepts are triangular sets and systems of different kinds, in terms of which the decompositions are represented. The prerequisites for the concepts and algorithms are results from basic algebra and some knowledge of algorithmic mathematics.
650			_aMathematics
650			_aAlgebra
650			_aAlgebra-Data Processing
650			_aElimination
942			_2ddc _cTD