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Functions: Covers the concept of functions, composite functions, inverse functions, and various graph types (periodic, odd, even).
Conclusion
Vectors & Matrices: Introductory concepts in vector geometry and an introduction to matrices.
Pure Mathematics 1 and 2 by J.K. Backhouse and S.P.T. Houldsworth remains a "definitive course" for students pursuing A-Level Mathematics and Further Mathematics. While older editions date back to the 1960s and 70s, the revised versions (published by Longman/Pearson I can’t help find or provide PDFs of copyrighted books
The series is divided into thematic blocks across its two volumes: