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

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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