More Monthly Problem Gems

More Monthly Problem Gems is a sequel to Monthly Problem Gems (CRC Press, 2021). This book covers a broader range of math problems. In addition to analysis problems, problems from number theory, combinatorics, algebra, and geometry are included. The book offers problems to promote creative techniques for problem-solving and undergraduate research. Each problem is selected for its natural charm, the connection with an authentic mathematical experience, originating from the ingenious work of professionals, and ready developments, all into well-shaped results of broader interest. Each problem provides either a novel application of a familiar theorem or a lively discussion of multiple solutions. Special attention is paid to informal exploration of the essential assumptions, suggestive heuristic considerations, and roots of the motivations of the problem. This text then presents a new type of problem-solving. It will challenge and stimulate math problem-solvers at varying degrees of proficiency. Since the selected problem gems contain sophisticated ideas and connect to important current research, this book is also geared toward graduate students in math and engineering. Many of the problems in this book were originally offered in The American Mathematical Monthly. Read more