Author : S Barnard, J M Child
A standard textbook for all students requiring a comprehensive introduction to mathematical analysis. It is particularly useful for high school students preparing for entry into a course for a degree or professional qualification in mathematics, physics or engineering subjects. About The Author: S Barnard - Lecturer, Emmanuel College, Cambridge. J M Child - Lecturer in Mathematics, University of Manchester. Table Of Contents: Theory of Numbers ? Rationals and Irrationals ? Polynomials ? Symmetric and Alternating Functions, Substitutions ? Complex Numbers ? Theory of Equations ? Partial Fractions ? Summation of Series ? Determinants ? Systems of Equations ? Reciprocal and Binomial Equations ? Cubic and Biquadratic Equations ? Theory of Irrationals ? Inequalities ? Sequences and Limits ? Convergence of Series ? Continuous Variable ? Theory of Equations (2), Polynomials (2), Rational Fractions (1) ? Exponential and Logarithmic Functions and Series ? Convergence (2) ? Binomial and Multinomial Theorems ? Rational Fractions (2), Recurring Series and Difference Equations ? The Operators D, E, D ? Interpolation ? Continued Fractions (1) ? Indeterminate Equations of the First Degree ? Theory of Numbers (2) ? Residues of Powers of a Number, Recurring Decimals ? Numerical Solution of Equations ? Implicit Functions, Curve Tracing ? Infinite Products ? Permutations, Combinations and Distributions ? Probability ? Continued Fractions (2)