TY - GEN
AU - Chen, Hongwei
TI - Monthly problem gems
SN - 9780367766771
U1 - 510.76
PY - 2021///
CY - Boca Raton
PB - CRC Press
KW - Mathematics Problems, exercises, etc
KW - Mathematics Study & Teaching
KW - Abel's limit theorem
KW - AM-GM inequality
KW - Beta function
KW - Cauchy-Schwarz inequality
KW - Euler's constant
KW - Gamma function
KW - Harmonic numbers
KW - L'Hopital's monotone rule
KW - Leibniz rule
KW - Parseval's identity
KW - Riemann zeta function
KW - Wilker's inequality
N1 - Includes bibliographical references and index
N2 - This 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
ER -