Lessons on Higher Algebra: With an Appendix on the Nature of Mathematical Reasoning (Classic Reprint)

Master higher algebra and the logic behind mathematical reasoning in one concise course.This revised edition provides a compact algebra curriculum for early college study, centered on the roots of higher numerical equations and the essential theory of logarithms. It connects the subject matter to broader ideas in logic, emphasizing clear, step-by-step methods and practical reasoning.Learn how to locate real and imaginary roots using sign variations, multiplication rules, and the Descartes rule of signs.Explore determinants, their role in solving equations, and the structure of linear and higher-order systems.Develop skills in graphing polynomials, understanding f(x) as x changes, and reading graphs of functions.See how mathematics and logic interrelate, with material that encourages thinking about proofs and reasoning.Ideal for readers seeking a clear, usable bridge between algebra and logical reasoning in a college preparation or introductory college setting. Read more