000 | 04026nam a22005535i 4500 | ||
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001 | 978-3-540-27357-8 | ||
003 | DE-He213 | ||
005 | 20161121230933.0 | ||
007 | cr nn 008mamaa | ||
008 | 100301s2005 gw | s |||| 0|eng d | ||
020 |
_a9783540273578 _9978-3-540-27357-8 |
||
024 | 7 |
_a10.1007/b138957 _2doi |
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050 | 4 | _aQA150-272 | |
072 | 7 |
_aPBF _2bicssc |
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072 | 7 |
_aMAT002000 _2bisacsh |
|
082 | 0 | 4 |
_a512 _223 |
245 | 1 | 0 |
_aSolving Polynomial Equations _h[electronic resource] : _bFoundations, Algorithms, and Applications / _cedited by Manuel Bronstein, Arjeh M. Cohen, Henri Cohen, David Eisenbud, Bernd Sturmfels, Alicia Dickenstein, Ioannis Z. Emiris. |
264 | 1 |
_aBerlin, Heidelberg : _bSpringer Berlin Heidelberg, _c2005. |
|
300 |
_aXIV, 426 p. 44 illus., 11 illus. in color. _bonline resource. |
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336 |
_atext _btxt _2rdacontent |
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337 |
_acomputer _bc _2rdamedia |
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338 |
_aonline resource _bcr _2rdacarrier |
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347 |
_atext file _bPDF _2rda |
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490 | 1 |
_aAlgorithms and Computation in Mathematics, _x1431-1550 ; _v14 |
|
505 | 0 | _ato residues and resultants -- Solving equations via algebras -- Symbolic-numeric methods for solving polynomial equations and applications -- An algebraist’s view on border bases -- Tools for computing primary decompositions and applications to ideals associated to Bayesian networks -- Algorithms and their complexities -- Toric resultants and applications to geometric modelling -- to numerical algebraic geometry -- Four lectures on polynomial absolute factorization. | |
520 | _aThe subject of this book is the solution of polynomial equations, that is, s- tems of (generally) non-linear algebraic equations. This study is at the heart of several areas of mathematics and its applications. It has provided the - tivation for advances in di?erent branches of mathematics such as algebra, geometry, topology, and numerical analysis. In recent years, an explosive - velopment of algorithms and software has made it possible to solve many problems which had been intractable up to then and greatly expanded the areas of applications to include robotics, machine vision, signal processing, structural molecular biology, computer-aided design and geometric modelling, as well as certain areas of statistics, optimization and game theory, and b- logical networks. At the same time, symbolic computation has proved to be an invaluable tool for experimentation and conjecture in pure mathematics. As a consequence, the interest in e?ective algebraic geometry and computer algebrahasextendedwellbeyonditsoriginalconstituencyofpureandapplied mathematicians and computer scientists, to encompass many other scientists and engineers. While the core of the subject remains algebraic geometry, it also calls upon many other aspects of mathematics and theoretical computer science, ranging from numerical methods, di?erential equations and number theory to discrete geometry, combinatorics and complexity theory. Thegoalofthisbookistoprovideageneralintroduction tomodernma- ematical aspects in computing with multivariate polynomials and in solving algebraic systems. | ||
650 | 0 | _aMathematics. | |
650 | 0 |
_aComputer science _xMathematics. |
|
650 | 0 | _aAlgebra. | |
650 | 0 | _aAlgorithms. | |
650 | 1 | 4 | _aMathematics. |
650 | 2 | 4 | _aAlgebra. |
650 | 2 | 4 | _aAlgorithms. |
650 | 2 | 4 | _aSymbolic and Algebraic Manipulation. |
700 | 1 |
_aBronstein, Manuel. _eeditor. |
|
700 | 1 |
_aCohen, Arjeh M. _eeditor. |
|
700 | 1 |
_aCohen, Henri. _eeditor. |
|
700 | 1 |
_aEisenbud, David. _eeditor. |
|
700 | 1 |
_aSturmfels, Bernd. _eeditor. |
|
700 | 1 |
_aDickenstein, Alicia. _eeditor. |
|
700 | 1 |
_aEmiris, Ioannis Z. _eeditor. |
|
710 | 2 | _aSpringerLink (Online service) | |
773 | 0 | _tSpringer eBooks | |
776 | 0 | 8 |
_iPrinted edition: _z9783540243267 |
830 | 0 |
_aAlgorithms and Computation in Mathematics, _x1431-1550 ; _v14 |
|
856 | 4 | 0 | _uhttp://dx.doi.org/10.1007/b138957 |
912 | _aZDB-2-SMA | ||
950 | _aMathematics and Statistics (Springer-11649) | ||
999 |
_c506140 _d506140 |