Analysis 2

The volume "Analysis" covers differential and integral calculus in Rn, as well as differential equations and elements of function theory. Notable features of this textbook include a new, straightforward introduction to the Lebesgue integral and a version of the Gaussian integral theorem that establishes integration domains with sufficient generality. A comprehensive chapter is dedicated to the calculus of differential forms, including Stokes' theorem, and is designed as an introduction to the theory of differentiable manifolds. Historical notes and perspectives add variety to the text. Numerous illustrations and examples facilitate understanding, and many exercises are provided for practice and deepening knowledge. Overall, it is a textbook that serves excellently as a companion text for lectures as well as for self-study.