# College Algebra

### About this Title

**Henry Burchard Fine**

Publication: AMS Chelsea Publishing

Publication Year:
1961; Volume 354

ISBNs: 978-0-8218-3863-1 (print); 978-1-4704-3030-6 (online)

DOI: https://doi.org/10.1090/chel/354

### Table of Contents

**Front/Back Matter**

**Chapters**

- Chapter 1. The natural numbersâ€“counting, addition, and multiplication
- Chapter 2. Subtraction and the negative
- Chapter 3. Division and fractions
- Chapter 4. Irrational numbers
- Chapter 5. The imaginary and complex numbers
- Chapter 6. Preliminary considerations
- Chapter 7. The fundamental operations
- Chapter 8. Simple equations in one unknown letter
- Chapter 9. Systems of simultaneous simple equations
- Chapter 10. The division transformation
- Chapter 11. Factors of rational integral expressions
- Chapter 12. Highest common factor and lowest common multiple
- Chapter 13. Rational fractions
- Chapter 14. Symmetric functions
- Chapter 15. The binomial theorem
- Chapter 16. Evolution
- Chapter 17. Irrational functions. Radicals and fractional exponents
- Chapter 18. Quadratic equations
- Chapter 19. A discussion of the quadratic equation. Maxima and minima
- Chapter 20. Equations of higher degree which can be solved by means of quadratics
- Chapter 21. Simultaneous equations which can be solved by means of quadratics
- Chapter 22. Inequalities
- Chapter 23. Indeterminate equations of the first degree
- Chapter 24. Ratio and proportion. Variation
- Chapter 25. Arithmetical progression
- Chapter 26. Geometrical progression
- Chapter 27. Harmonical progression
- Chapter 28. Method of differences. Arithmetical progressions of higher orders. Interpolation
- Chapter 29. Logarithms
- Chapter 30. Permutations and combinations
- Chapter 31. The multinomial theorem
- Chapter 32. Probability
- Chapter 33. Mathematical induction
- Chapter 34. Theory of equations
- Chapter 35. The general cubic and biquadratic equations
- Chapter 36. Determinants and elimination
- Chapter 37. Convergence of infinite series
- Chapter 38. Operations with infinite series
- Chapter 39. The binomial, exponential, and logarithmic series
- Chapter 40. Recurring series
- Chapter 41. Infinite products
- Chapter 42. Continued fractions
- Chapter 43. Properties of continuous functions