English

Selected Problems And Theorems In Elementary Mathematics

This book contains the conditions of problems, the answers and hints to them and the solutions of the problems. The conditions of the most difficult problems are marked by stars. We recommend the reader to start with trying to solve without assistance the problem he is interested in. In case this attempt fails he can read the hint or the answer to the problem, which may facilitate the solution, Finally, if this does not help, the solution of the problem given in the book should be studied. However, for the starred problems it may turn out to be appropriate to begin with reading the hints or the answers before proceeding to solve the problems. Most of the problems in the book are independent of one another except those in the last two sections ("Complex Numbers" and "Several Problems in Number Theory") where the problems are more closely interrelated. It is advisable to choose a definite section ot the book and to spend some time on solving the problems of that section. Only alter that (this does not of course mean that all the problems or most of the problems must necessarily be solved) should the reader pass to another section and so on. However, the order in which the sections ar

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