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