J V Uspensky - Theory of Equations

Theory of Equations,

J. V. Uspensky,

McGraw-Hill, 1948,

360 pages.


Chapters:
i. Complex Numbers 1
ii. Polynomials in One Variable 35
iii. Algebraic Equations and Their Roots 50
iv. Limits of Roots. Rational Roots 70
v. Cubic and Biquadratic Equations 82
vi. Separation of Roots 99
vii. The Theorem of Sturm 138
viii.Approximate Evaluation of Roots 151
ix. Determinants and Matrices 181
x. Solution of Linear Equations by Determinants.
Some Applications of Determinants to Geometry 231
xi. Symmetric Functions 257
xii. Elimination 277

appendix:
i. The Fundamental Theorem of Algebra 293
ii. On the Theorem of Vincent 298
iii.On Equations Whose Roots Have Negative Real Part . . . 304
iv. Iterative Solution of the Frequency Equation 310
v. GraefiVs Method 318

ANSWERS 333
INDEX 345

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