PREFACE.

CHAPTER II.

• ORDINARY ANALYSIS; OR, ALGEBRA. 69
• Its Object 69 Classification of Equations 70
• Algebraic Equations 71
• Their Classification 71
• Algebraic Resolution of Equations 72
• Its Limits 72 General Solution 72 What we know in Algebra 74
• Numerical Resolution of Equations 75
• Its limited Usefulness 76
• Different Divisions of the two Systems 78
• The Theory of Equations 79
• The Method of Indeterminate Coefficients 80
• Imaginary Quantities 81
• Negative Quantities 81
• The Principle of Homogeneity 84

CHAPTER III.

• TRANSCENDENTAL ANALYSIS: its different conceptions 88