The Laws of Algebra: An Elementary Course in Algebraic Theory (Classic Reprint) - Hardcover

Alfred George Cracknell

 
9780265157749: The Laws of Algebra: An Elementary Course in Algebraic Theory (Classic Reprint)

Synopsis

Explore the foundations of algebra with a clear, logical approach that builds from simple ideas to powerful tools.

This elementary course introduces algebraic theory through careful definitions and proofs. It covers the behavior of irrational numbers, the rules of signs, and the three fundamental laws that govern arithmetic and algebra. You’ll see how addition, multiplication, and division extend from rational numbers to more complex cases, using formal reasoning that ties together definitions and theorems.

  • How to define and work with irrational numbers, and how they fit into standard algebraic rules
  • Formal algebra: treating signs, operations, and laws as definitional foundations
  • The three fundamental laws: commutative, associative, and distributive properties, for all numbers considered
  • Development of index theory, including positive, fractional, zero, and negative indices, with careful definitions

Ideal for readers who want a solid, classroom‑friendly grounding in algebra that emphasizes logical structure and rigorous reasoning.

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