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

Ellen Hayes

9780267793938: Lessons Higher Algebra With an Appendix on the Nature of Mathematical Reasoning (Classic Reprint)

Hardcover

ISBN 10: 0267793936 ISBN 13: 9780267793938

Publisher: Forgotten Books, 2018

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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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