Master algebraic ideas explained step by step for solving real problems
This introduction to algebra presents the method of representing magnitudes and their relations with symbols and signs. It covers how to handle known and unknown quantities, and how operations like addition, subtraction, multiplication, and division are expressed in equations.
The book surveys a wide range of topics to build practical algebraic skill, from basic definitions to more advanced techniques. It includes treatments of fractions, surds, imaginary quantities, and methods for solving simple and quadratic equations, as well as strategies for eliminating unknowns from systems of equations. Readers will also encounter the power of algebra in applications such as ratios, proportion, variation, and the study of numbers, progressions, permutations, and combinations.
- Clear definitions of symbols, signs, and the rules of combining quantities
- Step-by-step guidance on solving simple, quadratic, and simultaneous equations
- Introduction to the binomial, multinomial, and exponential theorems and their uses
- Applications to a broad range of topics, including ratios, progressions, and number forms
Ideal for readers starting college-level study of algebra, or anyone seeking a solid, practical foundation in the subject.