It must be emphasized that this book is not an ordinary textbookbut one in which certain carefully selected topics of theory and anabundant amount of problem solving will enable the student to expandand deepen his knowledge of the school course of elementary mathematicsand enable him better to begin the study of higher mathematicsin higher educational institutions. The topics chosen here for detaileddiscussion are those that usually cause the most trouble or do not,fora variety of reasons, receive the attention they deserve. The most complicatedand important parts of elementary mathematics are analyzedand illustrated in detailed problem solving and subsequent discussion.Particular attention is paid to analyzing typical mistakes of the student.Another point to bear in mind is that the authors consider only themore traditional topics of elementary mathematics. They do not usemethods of analytic geometry or differential and integral calculus; ingeometry, axiomatics is not dwelt on, nor is the terminology of settheory made much use of.This textbook is supplied with a large number of problems in theform of exercises appended to each section. The answers are given atthe end of the book.This book is aimed at a broad range of readers, from students ofsecondary school to students of teachers’ colleges and universities,and mathematics instructors in secondary and higher educational institutions.It can also be used in self-instruction as a supplement toany standard textbook.Translated from the Russian by George Yankovsky.Credits to the original uploaders for the scans, this is a cleaned optimised scan.Thanks to A. Kumar for pointing  Original scan: https://archive.org/details/elementary-mathematics-selected-topics-and-problem-solving-g.-dorofeev-m.-potapov-n.-rozov