The published book of Professor Konstantin Alexandrovich Posse (1847-1928), which is distinguished by clarity and accuracy of the subject, is intended for students of higher technical educational institutions. Professor of Moscow State University I.I. Privalov processed to an insignificant extent all the chapters of this book. At the end of each chapter, exercises for students are attached, equipped with answers. The book is intended by the Committee on Higher Technical Education as a stable textbook for vtuz groups with an increased mathematics program.