Solving problems in mathematical analysis, Part II. Definite, improper and multidimensional integrals, functions of several variables and differential equations. Based on the translation of the Polish original edition (Q2309210)

This book is the second volume of the series of three textbooks devoted to basic parts of mathematical analysis. It covers the following topics: definite, inproper and multidimensional integrals, functions of several variables, and differential equations. The author's interpretation is based on his many years of pedagogical experience. He tries to explain how to solve problems in detail without logical jumps and shortcuts. In his explanation, he focuses mainly on clarifying all the steps to solve a problem: from selection of a suitable method, its subsequent implementation, to the achievement of the final result. Throughout the whole book, the author tries to explain everything so easily as possible, being aware of the fact that the price for this is sometimes a loss of accuracy. Each chapter of the book contains some exercises that students have to work on independently, however the author's goal is not to provide the reader with many examples for his own work. This book is interesting university students of mathematics, physics and engineering. It also addresses students from other areas with an interest in mathematical analysis. For the other two volumes of the entire collection see [Zbl 1452.26002] and [Zbl 1439.26006].