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Theory of Equations Summary:
From the Preface: This book was written as a textbook to be used in the standard American university and college courses devoted to the theory of equa- tions. As such it is elementary in character and, with few exceptions, contains only material ordinarily included in texts of this kind. But the presentation is made so explicit that the book can be studied by students without a teacher's help. Everything that is stated in the text is presented with full develop- ment, and nowhere is reference made to results that are beyond the scope of this book. This accounts for the fact that the book, though containing chiefly the same matters as other currently used texts, sur- passes them in size. A few topics that might be omitted without harm are marked by black stars. Numerous problems are added after each significant section. For the most part they are simple exercises, but the more difficult among them are marked by asterisks. Table of Contents: PREFACE V CHAPTER 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. Graeft'e's Method . 318 ANSWERS 333 password: gigapedia Please select one mirror to download
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Sponsored LinksTheory of Equations Keywordsroots equations theory theorem determinants texts iv ii iii vii preface marked sturm approximate evaluation separation viii rational algebraic variable polynomials limits ix biquadratic cubic vi applications ordinarily included courses devoted equations theoryTheory of Equations download copyrightThis site does not store Theory of Equations on its server. We only index and link to Theory of Equations provided by other sites. Please contact the content providers to delete Theory of Equations if any and email us, we'll remove relevant links or contents immediately. |
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