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

Ellen Hayes

 
9781330071892: Lessons Higher Algebra With an Appendix on the Nature of Mathematical Reasoning (Classic Reprint)

Synopsis

Explore higher algebra with a careful look at the logic behind mathematical reasoning.

This edition presents a compact course that integrates algebra with an Appendix on how mathematical reasoning works, helping you see not just the results but the reasoning that leads to them.

The material is framed for a brief algebra course and includes essentials of logarithms, the theory of equations, determinants, and the link between algebra and logic. It emphasizes how mathematical methods support science and education, with attention to the nature of proof and the way conclusions are drawn from given conditions.
  • Foundations of algebra, including solving equations and transforming them to simpler forms
  • Techniques in the theory of equations, such as root behavior and Sturm’s Theorem
  • Determinants, their properties, and how they relate to systems of equations
  • Overview of logarithms, exponentials, and their interrelations
  • Appendix on mathematical reasoning, offering a gateway to formal logic within math practice
Ideal for readers of introductory algebra who want a clear bridge to logic, proof, and broader mathematical thinking.

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