Note: A "Fifth Edition" exists under a different author (Backhouse retired), but purists argue the original series ended with the 4th.
| Chapter | Topics | Pedagogical Emphasis | |---------|--------|----------------------| | 4. Polynomials | Factorisation, remainder theorem, roots, Vieta’s formulas | Algebraic manipulation, symbolic reasoning | | 5. Linear Algebra | Vectors, matrices, determinants, systems of linear equations, eigenvalues | Concrete computation, introduction to vector spaces | | 6. Groups & Rings | Basic group theory, cyclic groups, permutations, rings and fields (modular arithmetic) | Abstract algebraic structures, proof of Lagrange’s theorem | pure mathematics by jk backhouse pdf full
The book is well‑known for its clear, rigorous treatment of topics that form the backbone of higher‑level mathematics. It is often used as a bridge between high‑school mathematics and more advanced university courses. Note: A "Fifth Edition" exists under a different