- 458 pages
- English
- PDF
- Available on iOS & Android
About this book
Sixth Form Pure Mathematics, Volume 1, Second Edition, is the first of a series of volumes on Pure Mathematics and Theoretical Mechanics for Sixth Form students whose aim is entrance into British and Commonwealth Universities or Technical Colleges. A knowledge of Pure Mathematics up to G.C.E. O-level is assumed and the subject is developed by a concentric treatment in which each new topic is used to illustrate ideas already treated. The major topics of Algebra, Calculus, Coordinate Geometry, and Trigonometry are developed together. This volume covers most of the Pure Mathematics required for the single subject Mathematics at Advanced Level. Early and rapid progress in calculus is made at the beginning of this volume in order to facilitate the student's progress along the most satisfactory lines in Pure Mathematics, in Theoretical Mechanics and in Physics. The worked examples are an essential feature of this book and they are followed by routine exercises within the text of each chapter, associated closely with the work on which they are dependent. The exercises at the end of each chapter collectively embody all the topics of that chapter and, where possible, the preceding chapters also.
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Table of contents
- Front Cover
- Sixth Form Pure Mathematics
- Copyright Page
- Table of Contents
- PREFACE TO THE SECOND EDITION
- CHAPTER 1. INTRODUCTION TO THE CALCULUS
- CHAPTER 2. METHODS OF COORDINATE GEOMETRY
- CHAPTER 3. METHODS OF THE CALCULUS
- CHAPTER 4. THE CIRCULAR FUNCTIONS
- CHAPTER 5. THE CIRCULAR FUNCTIONS IN CALCULUS AND COORDINATE GEOMETRY
- CHAPTER 6. THE QUADRATIC FUNCTION AND THE QUADRATIC EQUATION
- CHAPTER 7. NUMERICAL TRIGONOMETRY
- CHAPTER 8. FINITE SERIES
- CHAPTER 9. INFINITE SERIES. MACLAURIN'S EXPANSION. THE BINOMIAL, EXPONENTIAL AND LOGARITHM FUNCTIONS
- CHAPTER 10. PARTIAL FRACTIONS AND THEIR APPLICATIONS SOME FURTHER METHODS OF INTEGRATION
- ANSWERS TO THE EXERCISES
- INDEX