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William Snow Burnside, Arthur William Panton

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Table of Contents

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