Algebra : a very short introduction /
Peter M. Higgins.
- 1st ed.
- Oxford, United Kingdom : Oxford University Press, 2015.
- xiv, 144 p. ; illustrations ; 18 cm.
- Very short introductions ; 447 .
- Very short introductions ; 447. .
Includes bibliographical references (pages 139-140) and index.
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.
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.--