ProofWiki:Books/Margaret M. Gow/A Course in Pure Mathematics

Margaret M. Gow: A Course in Pure Mathematics

Published 1960, English Universities Press.

Contents

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