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College Algebra

Henry Burchard Fine
Publisher: 
AMS Chelsea
Publication Date: 
2005
Number of Pages: 
631
Format: 
Hardcover
Price: 
69.00
ISBN: 
0-8218-3863-6
Category: 
Textbook
We do not plan to review this book.

Numbers

  • The natural numbers-counting, addition, and multiplication
  • Subtraction and the negative
  • Division and fractions
  • Irrational numbers
  • The imaginary and complex numbers

Algebra

  • Preliminary considerations
  • The fundamental operations
  • Simple equations in one unknown letter
  • Systems of simultaneous simple equations
  • The division transformation
  • Factors of rational integral expressions
  • Highest common factor and lowest common multiple
  • Rational fractions
  • Symmetric functions
  • The binomial theorem
  • Evolution
  • Irrational functions. Radicals and fractional exponents
  • Quadratic equations
  • A discussion of the quadratic equation. Maxima and minima
  • Equations of higher degree which can be solved by means of quadratics
  • Simultaneous equations which can be solved by means of quadratics
  • Inequalities
  • Indeterminate equations of the first degree
  • Ratio and proportion. Variation
  • Arithmetical progression
  • Geometrical progression
  • Harmonical progression
  • Method of differences. Arithmetical progressions of higher orders. Interpolation
  • Logarithms
  • Permutations and combinations
  • The multinomial theorem
  • Probability
  • Mathematical induction
  • Theory of equations
  • The general cubic and biquadratic equations
  • Determinants and elimination
  • Convergence of infinite series
  • Operations with infinite series
  • The binomial, exponential, and logarithmic series
  • Recurring series
  • Infinite products
  • Continued fractions
  • Properties of continuous functions
  • Answers
  • Index

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