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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

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Table of Contents

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Front/Back Matter

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Chapters

• Chapter 1. The natural numbers–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