Revisiting Mathematics Education

A Course of Modern AnalysisAn introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functionsI. Complex NumbersII. The Theory of ConvergenceIII. Continuous Functions and Uniform ConvergenceIV. The Theory of Riemann IntegrationV. The fundamental properties of Analytic Functions Taylor's Laurent's and Liouville's TheoremaVI. The Theory of Residues application to the evaluation of Definite IntegralsVII. The expansion of fu...

1. Functions Limits and Continuity2. The Derivative3. More About the Derivative4. Antiderivatives and Definite Integrals5. More About the Integral6. Exponential and Logarihm Functions7. Functions of Several VariablesAppendix 1. PrelimininariesAppendix 2. TrigonometryAppendix 3. Sequences and Series