Number and Its Algebra: Syllabus of Lectures on the Theory of Number and Its Algebra, Introductory to a Collegiate Course in Algebra (Classic Reprint)

Unlock a clear, practical path to number and algebra

Your quick-start guide to building a solid, continuous concept of number for beginners and teachers alike.

This concise syllabus is aimed at preparing students for higher algebra with a practical focus. It presents number as a continuous magnitude, bridging arithmetic and algebra and emphasizing concepts that students often find confusing. The author writes for inquiry-minded learners and classroom teachers, not just mathematicians, offering a straightforward development that supports modern math instruction.

What you’ll experience

• A grounded explanation of number as a continuous concept, not just abstract symbols.
• Introductions to protomonic, neomonic, and complex numbers and how they relate to real problems.
• Clear guidance for teaching arithmetic and algebra in ways that connect ideas to practice.
• Approaches to reduce common student misunderstandings and build lasting intuition.

Ideal for readers who teach or study math at the undergraduate level, and for those aiming to strengthen foundational understanding before tackling higher algebra. The edition focuses on practical teaching aims and accessible development of number theory concepts.