Ch. 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 -- Ch. 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 -- Ch. 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 -- Ch. 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
