02428 a2200349 4500999001700000008004100017020001800058082001600076100001800092245002500110260003500135300003100170365002300201504005100224520130800275650004201583650003301625650002501658650002101683650001901704650003101723650002201754650001901776650002101795650003101816650001701847650002501864650002701889650002501916942001201941952012501953 c30381d30381211116b xxu||||| |||| 00| 0 eng d a9780367766771 a510.76bCHE aChen, Hongwei aMonthly problem gems bCRC Press,c2021aBoca Raton : aix, 313 p. ;bill.,c24 cm b22.99cGBPd107.10 aIncludes bibliographical references and index. 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. aMathematics Problems, exercises, etc. aMathematics Study & Teaching aAbel's limit theorem aAM-GM inequality a Beta function a Cauchy-Schwarz inequality a Euler's constant aGamma function aHarmonic numbers a L'Hopital's monotone rule aLeibniz rule a Parseval's identity a Riemann zeta function a Wilker's inequality 2ddccBK 00102ddc406510_760000000000000_CHE70940505aDAIICTbDAIICTd2021-11-12g6424.93o510.76 CHEp032674r2021-11-16yBK