كتب كلية الجبر
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كلية الجبر (كتاب)
Book digitized by Google from the library of Harvard University and uploaded to the Internet Archive by user tpb.
viii, 595 pages ; 20 cm
Includes index
pt. I. Numbers. The natural numbers-counting, addition, and multiplication -- Subtraction and the negative -- Division and fractions -- Irrational numbers -- Imaginary and complex numbers -- pt. II. 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
