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William Snow Burnside, Arthur William Panton
INTRODUCTION 1. Definitions 2. Numerical and Algebraical Equations 3. Polynomials CHAPTER I. GENERAL PROPERTIES OF POLYNOMIALS CHAPTER II. GENERAL PROPERTIES OF EQUATIONS CHAPTER III. RELATIONS BETWEEN THE ROOTS AND COEFFICIENTS OF EQUATIONS, WITH APPLICATIONS TO SYMMETRIC FUNCTIONS OF THE ROOTS CHAPTER IV. TRANSFORMATION OF EQUATIONS CHAPTER V. SOLUTION OF RECIPROCAL AND BINOMIAL EQUATIONS CHAPTER VI. ALGEBRAIC SOLUTION OF THE CUBIC AND BIQUADRATIC CHAPTER VII. PROPERTIES OF THE DERIVED FUNCTIONS CHAPTER VIII. LIMITS OF THE ROOTS OF EQUATIONS CHAPTER IX. SEPARATION OF THE ROOTS OF EQUATIONS CHAPTER X. SOLUTION OF NUMERICAL EQUATIONS CHAPTER XI. DETERMINANTS CHAPTER XII. SYMMETRIC FUNCTIONS OF THE ROOTS. CHAPTER XIII. ELIMINATION CHAPTER XIV. COVARIANTS AND INVARIANTS CHAPTER XV. COVARIANTS AND INVARIANTS OF THE QUADRATIC, CUBIC, AND QUARTIC CHAPTER XVI. TRANSFORMATIONS CHAPTER XVII. THE COMPLEX VARIABLE NOTES