**Title**: Pure Mathematics 1

**Edition**: 4th Edition, 1985

**Authors**: J. K. Backhouse, S. P. T. Houldsworth, P. J. F. Horril

**Publisher**: Longman^{1}

This book is a comprehensive guide to pure mathematics. It introduces coordinates and the straight line in the first chapter, followed by the idea of a function in the second chapter^{2}. The subsequent chapters cover a wide range of topics including calculus (chapters 3-8), algebra with an introduction to matrices (chapters 9-14), vectors (chapter 15), trigonometry (chapters 16-19), and coordinate geometry (chapters 20-22)^{2}.

In addition, there are chapters on variation, iterative methods, and an introduction to group theory^{2}. The book is highly regarded for its rigorous pedagogy and has proven reliability when it comes to A-Level mathematics^{3}. With a total of 587 pages^{2}, it provides a thorough understanding of the subject for students and educators alike.

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