This introduction invites readers to revisit algebra and appreciate the elegance and power of equations and inequalities. Offering a clear explanation of algebra through theory and example, Higgins shows how equations lead to complex numbers, matrices, groups, rings, and fields.-- Source other than Library of Congress.

Numbers and algebra -- The laws of algebra -- Linear equations and inequalities -- Quadratic equations -- The algebra of polynomials and cubic equations -- Algebra and the arithmetic of remainders -- Introduction to matrices -- Matrices and groups -- Determinants and matrices -- Vector spaces.