is a cornerstone textbook for students tackling advanced level mathematics. First published in 1965, this classic text by J.K. Backhouse, S.P.T. Houldsworth, and later revised by P.J.F. Horril, has guided generations of students through the transition from introductory algebra and geometry to rigorous calculus and mathematical analysis.
– Search WorldCat for Pure Mathematics by J. K. Backhouse. If your local library doesn’t own it, you can request it via interlibrary loan.
Expressing geometric curves using independent parameters. 4. Calculus (Differentiation and Integration) First Principles: Deriving the derivative using limits. pure mathematics by jk backhouse pdf full
The third edition (1978) runs to roughly and is divided into four major parts. Below is a concise synopsis of each part, together with the key learning outcomes.
Cartesian coordinates, equations of loci, and properties of curves. is a cornerstone textbook for students tackling advanced
| Resource | What It Offers | Where to Find | |----------|----------------|----------------| | | Complete worked solutions for most exercises, valuable for self‑study. | Usually bundled with the main text in university libraries; occasionally sold separately on second‑hand markets. | | “Pure Mathematics – Revision Guide” (Pearson) | Concise summary of formulas, theorems, and typical exam questions. | Pearson’s website or school bookshops. | | Video Lectures | Several UK A‑level teachers have uploaded chapter‑by‑chapter walkthroughs on YouTube (search “Backhouse pure mathematics”). | YouTube – verify the presenter’s credentials. | | Problem‑Solving Communities | Websites like Art of Problem Solving (AoPS) and Brilliant.org host discussion threads on classic Backhouse problems. | AoPS forums – use the search term “Backhouse”. | | Historical Essays | Articles on the evolution of the UK A‑level syllabus (e.g., The Mathematical Gazette ). | JSTOR, Cambridge University Press archives (often accessible via academic libraries). |
J.K. Backhouse’s Pure Mathematics is more than just a textbook; it is a rite of passage. It represents a time when mathematics education prioritized logical endurance over graphical flair. While a PDF version might offer convenient access, the true value lies in the mental discipline the book instills. For those who master its exercises, modern university mathematics becomes a much smoother journey. Houldsworth, and later revised by P
Before jumping into the exercises, cover the solutions to the worked examples and try to solve them on your own.