Higher Algebra

Higher Algebra
by S. Barnard / / / PDF


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Content1. Theory of Numbers Division, G.C.M. Numbers Prime to each other, Prime and Composite Numbers . The Divisors of a Number.Product of n Consecutive Integers (6).Residues of Terms of an A.P. .Induction . EXERCISE I 2. Rationals and Irrationals. Rationals, Fundamental Laws of Order and of Arithmetic, Representation by Points on a Line Absolute Values, Large and Small Numbers, Meaning of ‘Tends,’ Aggregate, Sequence Approximate Values, Fundamental Inequalities Irrationals, Meaning of Representation of a Number by an Endless Decimal Real Numbers, the Function ax EXERCISE II 3. Polynomials Notation Division, Synthetic Division.Remainder Theorem and Applications, Equating Coefficients . Quadratic Functions of x and y EXERCISE III Expansion of Products, Binomial Theorem for Positive Integral Index . Expansion of f(x + h), where f(x) = (a0, a1, a2,.....an) (x, 1)n. Multinomial Theorem, Greatest Coefficient in (a + b + c + ...... + k)n EXERCISE IV H.C.F., Prime and Composite Functions . EXERCISE V

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