Algebra : a very short introduction
Peter M. Higgins
- Oxford, United Kingdom : Oxford University Press, c2015.
- xiv, 144 p. : ill. ; 16 cm.
- Very short introductions, 447 .
Includes index.
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. 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.