000			a
999			_c30381 _d30381
008			211116b xxu||||| |||| 00| 0 eng d
020			_a9780367766771
082			_a510.76 _bCHE
100			_aChen, Hongwei
245			_aMonthly problem gems
260			_bCRC Press, _c2021 _aBoca Raton :
300			_aix, 313 p. ; _bill., _c24 cm
365			_b22.99 _cGBP _d107.10
504			_aIncludes bibliographical references and index.
520			_aThis book is an outgrowth of a collection of sixty-two problems offered in the The American Mathematical Monthly (AMM) the author has worked over the last two decades. Each selected problem has a central theme, contains gems of sophisticated ideas connected to important current research, and opens new vistas in the understanding of mathematics. The AMM problem section provides one of the most challenging and interesting problem sections among the various journals and online sources currently available. The published problems and solutions have become a treasure trove rife with mathematical gems. The author presents either his published solution in the AMM or an alternative solution to the published one to present and develop problem-solving techniques. A rich glossary of important theorems and formulas is included for easy reference. The reader may regard this book as a starter set for AMM problems, providing a jumping of point to new ideas, and extending their personal lexicon of problems and solutions. This collection is intended to encourage the reader to move away from routine exercises toward creative solutions, as well as offering the reader a systematic illustration of how to organize the transition from problem solving to exploring, investigating and discovering new results.
650			_aMathematics Problems, exercises, etc.
650			_aMathematics Study & Teaching
650			_aAbel's limit theorem
650			_aAM-GM inequality
650			_a Beta function
650			_a Cauchy-Schwarz inequality
650			_a Euler's constant
650			_aGamma function
650			_aHarmonic numbers
650			_a L'Hopital's monotone rule
650			_aLeibniz rule
650			_a Parseval's identity
650			_a Riemann zeta function
650			_a Wilker's inequality
942			_2ddc _cBK