Book:Margaret M. Gow/A Course in Pure Mathematics

Contents

 * Foreword to the First Edition, $1960$ (, M.A., D.Sc., Professor of Pure Mathematics in the University of Strathclyde


 * Preface to the First Edition, $1960$


 * 1. Polynomials; The Remainder and Factor Theorems; Undetermined Coefficients; Partial Fractions


 * 2. Theory of Equations; Inequalities


 * 3. Determinants


 * 4. Limits and Infinite Series


 * 5. The Binomial, Exponential and Logarithmic Series


 * 6. Complex Numbers


 * 7. Complex Numbers (continued)


 * 8. Summation of Series


 * 9. Differentiation and Applications


 * 10. Integration


 * 11. Expansions in Series


 * 12. Coordinate Geometry of the Straight Line and Circle


 * 13. The Parabola


 * 14. The Ellipse and Hyperbola


 * 15. The Straight Line, Circle and Conic in Polar Coordinates


 * 16. Coordinate Geometry of Three Dimensions: The Plane and Straight Line


 * 17. The Sphere


 * 18. The Quadric


 * 19. Partial Differentiation


 * 20. Applications of Integration - Cartesian Coordinates


 * 21. Applications of Integration - Polar Coordinates


 * 22. Curvature


 * 23. Differential Equations of the First Order


 * 24. Linear Differential Equations with Constant Coefficients


 * 25. Spherical Trigonometry


 * Hints and Answers


 * Index



Source work progress
* : Chapter $1$: Polynomials; The Remainder and Factor Theorems; Undetermined Coefficients; Partial Fractions: $1.2$. The remainder and factor theorems
 * Starting from


 * : Chapter $10$: Integration: $10.4$. Standard integrals: General Rules: $\text {III}$.