Sequences and Power Series
Publisher: Bookboon
Published: 2013
ISBN-13: 9788776812393
Table of contents: title: Repetition of important formulæ; title: Decomposition; title: Trigonometric formulæ; title: Notations and conventions; title: Standard power series; title: Power like standard series3; title: Recognition of power like series; title: Exponential like standard series; title: Recognition of exponential like series; title: Integration of trigonometric polynomials; title: Use of pocket calculators; title: Real sequences, folklore; title: Rules of magnitude; title: Square roots etc.; title: Taylor’s formula; title: Standard sequences; title: Practical methods for sequences; title: Sequences; title: Iterative sequences; title: Sequences of functions; title: General series; methods in problems; title: Denition; title: Rules of calculus; title: Change of index; title: A general advice; title: Elementary standard series; title: Types of Convergence; title: An elaboration on the ow diagram; title: Convergence tests; title: Series of functions; title: Power series; methods in solution of problems; title: Standard power series; title: The structure of standard series; title: Convergence of power series; title: Review of some important theorems; title: Sum by termwise differentiation or integration; title: The method of power series; title: Recursion formulæ and difference equations; title: Second order differential equations (straight tips); title: Differential equation of second order; title: Formulæ; title: Squares etc.; title: Powers etc.; title: Differentiation; title: Special derivatives; title: Integration; title: Special antiderivatives; title: Trigonometric formulæ; title: Hyperbolic formulæ; title: Complex transformation formulæ; title: Taylor expansions; title: Magnitudes of functions