Mathematical Problems: An Anthology ( Pocket Mathematical Library Work Book 3) | E. B. Dynkin, S. A. Molchanov, A. L. Rozental, A. K. Tolpygo

Regardless of their difficulty, the problems in this collection will all yield to the methods of high school mathematics. No attempt has been made to arrange the problems in order of difficulty, and hence there is no need to solve them consecutively. Thus you can dip into the collection at any point and solve the problems in any order.

If you can’t solve a problem right away, don’t be in a hurry to look up the solution. However, if the problem continues to resist your efforts to solve it, you are then entitled to consult theHints and Answers section. The hints are often brief, but they will be enough to set you on the right track once you have grappled with the problem on your own. The solution should be studied even when you have managed to solve the problem yourself, since it may well turn out that there is an unsuspected gap in your solution. Moreover, the solutions given here often digress and point out interesting side issues.