A College Algebra

Front Cover
Ginn, 1904 - Algebra - 595 pages
Pt. 1. Numbers: The natural numbers : counting, addition, and multiplication. Subtraction and the negative. Division and fractions. Irrational numbers. Imaginary and complex numbers -- pt. 2. 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. 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. 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.
 

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A College Algebra
Henry Burchard Fine
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A College Algebra
Henry Burchard Fine
Full view - 1904
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Henry Burchard Fine
Full view - 1904
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Common terms and phrases

a₁ ab² algebraic approach arithmetical progression arranged ascending powers ax² b₁ binomial binomial theorem called coefficients common factor complex numbers convergent corresponding definition denominator denote digits divide divisor equal exactly divisible exponent expression factor x following example formula given equation graph Hence highest common factor identity imaginary infinite integers integral function irrational number leading term less limit logarithms lower degree method multiply negative nth root obtain pair of equations partial fractions polynomial positive number prime factors proper fraction prove quadratic quotient R₁ radical radicand rational number real numbers reduced remainder result sequence simple equations Simplify solution Solve square root Substituting subtract symmetric functions theorem tion transformed u₁ unknown letters values vanishes variable x²y x²y²

Bibliographic information

TitleA College Algebra
Nineteenth Century Collections Online (NCCO): Science, Technology, and Medicine: 1780-1925
AuthorHenry Burchard Fine
PublisherGinn, 1904
Original fromHarvard University
Digitized17 Apr 2008
Length595 pages
  
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