Elementary Theory of Equations (Classic Reprint)

Master the basics of how equations model the world, using graphs to reveal roots and behavior. This clear, practical introduction shows how polynomials shape curves and what those shapes say about real and complex roots.

This edition emphasizes concrete illustrations over abstract theory. It guides you through plotting, bend points, and numerical methods, then builds up to determinants and systems of linear equations. Exercises are chosen to be solvable with efficient work, not tedious calculations, making the subject approachable for a broad range of readers.

• See how graphs translate an equation into a visual representation of roots and turning points.


• Learn to locate real roots via graphing and sign changes, with careful attention to possible pitfalls.


• Explore the role of complex numbers, roots of unity, and introductory determinants in solving equations.


• Build confidence with a structured sequence of problems, including practical applications and guided practice.