Elimination Methods in Polynomial Computer Algebra
Springer (Verlag)
978-94-010-6230-5 (ISBN)
1. Basic Mathematical Facts.- 1. The logarithmic residue.- 2. The Newton recursion formulas.- 3. Localization theorems for the real zeros of a polynomial.- 4. The local residue (of Grothendieck).- 5. The multidimensional logarithmic residue.- 6. The classical scheme for elimination of unknowns.- 2. A Modified Elimination Method.- 7. A generalized transformation formula for local residues.- 8. A modified elimination method.- 9. A formula for the logarithmic derivative of the resultant.- 10. Multidimensional analogues of the Newton formulas.- 11. Elimination of unknowns in different variables. Real roots.- 3. Applications in Mathematical Kinetics.- 12. Short schemes.- 13. The search for all stationary solutions.- 14. The kinetic polynomial. Single-route mechanisms.- 15. Construction of the kinetic polynomial in the general case.- 4. Computer Realizations.- 16. Analytic manipulations on the computer.- 17. Basic problems in computer algebra of polynomials.- 18. Realization of the elimination method.- 19. The construction of the resultant.- List of applications.
Reihe/Serie | Mathematics and Its Applications ; 448 | Mathematics and Its Applications ; 448 |
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Zusatzinfo | XI, 244 p. |
Verlagsort | Dordrecht |
Sprache | englisch |
Maße | 160 x 240 mm |
Themenwelt | Mathematik / Informatik ► Informatik ► Theorie / Studium |
Mathematik / Informatik ► Mathematik ► Analysis | |
Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
Naturwissenschaften ► Chemie ► Physikalische Chemie | |
ISBN-10 | 94-010-6230-7 / 9401062307 |
ISBN-13 | 978-94-010-6230-5 / 9789401062305 |
Zustand | Neuware |
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