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Analysis 1: Differential- und Integralrechnung für Funktionen einer Veränderlichen
This introductory text is based on lectures within a three-semester cycle on "Real Analysis" given by the author at Heidelberg University. The present first part is devoted to the classical calculus of differentiation and integration for functions of one real variable. Content and presentation are particularly oriented towards the needs of the application in the theory of differential equations, in Mathematical Physics and in Numerical Analysis.
For supporting self-study each chapter contains exercises with solutions collected in the appendix.